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IMAT 2012 Worked Solution & Answers | LOCOMOTIVE
IMAT 2012 · Worked Solution

IMAT 2012 Worked Solution

All 80 questions, solved and explained — General Knowledge, Logical Reasoning, Biology, Chemistry, Physics & Mathematics. Verified line by line by the LOCOMOTIVE academic team.

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General Knowledge & Logical Reasoning

Current affairs, history, culture, logical and critical-thinking problems · 40 questions
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Many people argue that the many government programmes intended to increase road safety have caused a steady decline in the number of accidents on our roads. However, some observers report that the real number of accidents may be much higher than is shown in the official records as many accidents are not reported by drivers. They also say that during the time when accident figures have decreased, the number of people going to hospitals because of road accidents has stayed constant.

Which one of the following can be drawn as a conclusion from the above passage?

  • ARoad safety has improved greatly in recent years.
  • BDrivers should be required to report all accidents that occur on the road.
  • CPositive views about continually improving road safety may not be supported by what actually happens.
  • DGovernment programmes have been unsuccessful in reducing the number of accidents.
  • EHospital admissions are a good way of measuring changes in the number of accidents on our roads.
Correct answer: C Positive views about continually improving road safety may not be supported by what actually happens.

Full explanation

The passage discusses a decline in reported accidents, attributed to government programmes. But some observers argue that many accidents go unreported. Hospital admissions due to road accidents have not declined, suggesting the true accident rate may be unchanged. This undermines the optimistic assumption that road safety has improved simply based on official accident records.

Analysis of the given options

Option A : Not supported; this is what is being questioned.

Option B : This is a suggestion, not a conclusion based on the information given.

Option C : This best reflects the contrast between official data and alternative evidence, like hospital records.

Option D : Too strong; the passage doesn't claim complete failure, only that the data might be misleading.

Option E : Possibly implied, but not the main conclusion.

In 2010 there were over 110,000 incidents of arson (deliberately setting fire to buildings) in the UK in which over 100 people were killed, usually in attacks on people's homes. Only a small percentage of homes have smoke alarms. If more homes had smoke alarms, the number of domestic fires would be significantly reduced. There should be a campaign to persuade people to install smoke alarms in their home as this would reduce the number of deaths.

Which one of the following identifies the flaw in the above argument?

  • AIt assumes that having smoke alarms will prevent fires.
  • BIt assumes that all deaths in fires are from arson attacks.
  • CIt overlooks the fact that smoke alarms may not work.
  • DIt assumes that people will be willing to install smoke alarms.
  • EIt assumes that all arson attacks are on people's homes.
Correct answer: A It assumes that having smoke alarms will prevent fires.

Full explanation

The argument's flaw is in confusing prevention with detection. Smoke alarms do not prevent fires---they detect smoke and warn occupants, giving them time to escape.

Analysis of the given options

Option A : This is the main flaw of the argument.

Option B : The argument does focus on arson, but it doesn't claim that all deaths come from arson.

Option C : Possible concern, but not the central flaw. The argument assumes smoke alarms do work, which is reasonable unless there's reason to doubt it.

Option D : The argument proposes a campaign to persuade people --- it acknowledges the need to change behavior.

Option E : The argument clearly states arson often involves homes but doesn't claim it's always the case.

Nicotine chewing gum is already available in chemists. Nicotine is an addictive drug, but by itself it causes little, if any, harm. Unlike other addictive substances it does not reduce the brain's performance, make people lazy, anti-social, or have more accidents. But until recently nicotine has been taken only in the form of tobacco, which also contains cancer-causing chemicals and deadly gases that kill one third of the people who smoke it. The chewing gum does not contain these chemicals, and is not dangerous in any other way.

Which one of the following is a conclusion which can be drawn from the above passage?

  • ANicotine chewing gum should be banned as it is addictive.
  • BNicotine chewing gum is a relatively safe alternative to tobacco for those addicted to nicotine.
  • CTobacco smokers can get rid of their addiction by chewing nicotine gum.
  • DNicotine chewing gum will make nicotine addiction more common by removing some of its risks.
  • ETobacco companies should put money into the manufacture and marketing of nicotine chewing gum.
Correct answer: B Nicotine chewing gum is a relatively safe alternative to tobacco for those addicted to nicotine.

Full explanation

The passage outlines that Nicotine itself is addictive, but causes little direct harm. Tobacco is harmful because of other chemicals in it. Nicotine gum delivers nicotine without those harmful substances and is described as "not dangerous in any other way."

Analysis of the given options

Option A : Contradicts the passage's tone, which highlights safety rather than danger.

Option B : Correct. This supports the conclusion that nicotine gum is a safer option for those addicted to nicotine.

Option C : Not stated. The passage does not claim it helps overcome addiction---only that it's a safer way to consume nicotine.

Option D : Speculative; not supported or implied by the passage.

Option E : Not discussed; the passage doesn't mention business strategies.

Television programmes that show young people in a school environment continue to feature highly in viewing schedules. Few of the programmes, however, give any emphasis on the time spent studying and the work required for academic success. Many of the actors used are far older than the characters they portray, suggesting attitudes, behaviour and appearances that are inaccurate and sometimes inappropriate. Broadcasters and producers should try to correct this.

Which one of the following must be assumed in the above argument?

  • AYoung people may feel that their social life is dull compared with that shown in television programmes.
  • BIt is often impractical to use young people in television programmes given the restrictions on how many hours they can work.
  • CIt is important to represent school life accurately.
  • DTelevision programmes about other areas such as the police are not accurate.
  • ESchool work and academic success are important to all students.
Correct answer: C It is important to represent school life accurately.

Full explanation

The passage criticises the use of older actors, which leads to inaccurate or inappropriate portrayals of students. It concludes that broadcasters and producers should try to correct this. For that conclusion to follow, the argument must assume that accuracy in representing school life matters --- otherwise, there's no reason to call for correction.

Analysis of the given options

Option A : Not mentioned or implied as a concern.

Option B : A potential reason for casting older actors, but not a necessary assumption of the argument.

Option C : Correct. This is the necessary assumption for conclusion to work.

Option D : Irrelevant. The passage is focused only on school-themed shows.

Option E : Too broad --- the argument doesn't claim this applies to all students.

The volume of water expands by 9% when it freezes.

If you want a block of ice 40 cm³, how much water would you need to put into a freezer?

  • A36.7 cm³
  • B38.2 cm³
  • C38.0 cm³
  • D40.0 cm³
  • E37.0 cm³
Correct answer: A 36.7 cm³

Full explanation

Let the volume of water be x cm³.

When it freezes : ice volume = x + 0.09x = 1.09x

We are told that the ice volume is 40 cm³, so:

1.09x = 40

Solve for x : x = (40)/(1.09) = 36.7

In a children's story there are three types of monster, Bongles, Crannies and Dervies. Some, but not all, Bongles are Crannies and all Crannies are Dervies.

Which one of the following is definitely NOT true?

  • ASome Dervies are both Bongles and Crannies.
  • BSome Dervies are neither Bongles nor Crannies.
  • CAll Crannies are either Bongles or Dervies or both.
  • DNo Dervies are Bongles.
  • ESome Bongles are Dervies.
Correct answer: D No Dervies are Bongles.

Full explanation

Given :

1. Some, but not all, Bongles are Crannies. → So there is an overlap between Bongles and Crannies, but not complete overlap.

2. All Crannies are Dervies. → Crannies ⊆ Dervies.

Analysis of the given options

Option A : True --- the Bongles that are Crannies are also Dervies.

Option B : Possible --- since not all Dervies are Crannies, and not all Crannies are Bongles.

Option C : True --- all Crannies are Dervies, so this statement is trivially true.

Option D : This cannot be true because some Bongles are Crannies, and All Crannies are Dervies. So, those Bongles that are Crannies are also Dervies. Hence, some Dervies are Bongles. So "No Dervies are Bongles" is definitely NOT true.

Option E : True --- Bongles that are Crannies are also Dervies.

Alice works until 5pm each day from Monday to Friday. On Friday she is planning to go to the cinema with friends. There is a local bus service which passes her workplace, home and cinema. Part of the bus timetable is shown in the table below. Alice plans to take the bus home, where she will get ready to go to the cinema and then she will catch the bus to get to the cinema. It will take Alice 45 minutes to get ready and she will also need 10 minutes when she reaches the cinema to buy her ticket before a film starts. Films start every 15 minutes starting from 6pm.

Work16:3917:0417:3918:0418:3919:0419:39
Home17:0817:3317:5818:3318:5819:3319:58
Cinema17:3317:5818:3318:5819:3319:5820:33

What is the earliest time that she can watch a film?

  • A18:15
  • B18:30
  • C18:45
  • D19:00
  • E19.15
Correct answer: E 19.15

Full explanation

Alice finishes work at 5:00 PM (17:00).

The next available bus after 17:00 is at 17:04.

She arrives home at 17:33.

Alice takes 45 minutes to get ready.

She will be ready by 18:18.

The next bus to the cinema from home after 18:18 is 18:33.

She arrives at the cinema at 18:58.

She needs 10 minutes to buy a ticket, meaning she is ready at 19:08.

Films start every 15 minutes from 6:00 PM (18:00).

The first available film she can watch is at 19:15.

Modern technology has given us the power to use renewable natural resources faster than they can be replaced. The decline of fish numbers provides one example of the way in which modern technology can rapidly use up a natural resource. Modern fishing ships equipped with fish detecting systems and huge nets can gather up vast quantities of fish quicker than the sea can renew them. Because high technology gives us such harmful powers, we must learn to use the renewable resources of the earth carefully, rather than waste them.

Which one of the following best expresses the main conclusion of the above passage?

  • AModern technology simply takes from the environment and destroys its resources.
  • BFishing is now a serious threat to the world's environment and should cease.
  • CFish need to be carefully protected to prevent them from being destroyed.
  • DMost people are unaware of the damaging effects of modern technology.
  • EHumans must preserve renewable resources by learning how to use them carefully.
Correct answer: E Humans must preserve renewable resources by learning how to use them carefully.

Full explanation

The passage starts by saying modern technology allows us to use up renewable resources faster than they can be replaced. Then, give the example of fishing using high-tech equipment. Ends with the statement " we must learn to use the renewable resources of the earth carefully, rather than waste them." This is a clear conclusion, and the rest of the passage supports this point.

Analysis of the given options

Option A : Too extreme and simplistic --- the passage criticizes misuse, but not all use.

Option B : Not stated --- fishing is used as an example, but banning it isn't suggested.

Option C : Narrow --- this is a supporting point, not the main conclusion.

Option D : Not mentioned at all --- the passage doesn't discuss public awareness.

Option E : This correctly describes the main conclusion of the passage.

Shower gel is now used much more than soap when people take a shower. This is unfortunate. Shower gel requires much more packaging which means more rubbish. There is also a tendency for people to use more of it when washing in comparison with soap. Therefore more natural resources are consumed in the manufacturing process than would be if people used only soap. So, the trend towards shower gel is bad for the environment. This is because it creates more problems of waste disposal and uses up more resources than soap. We should make people more aware of the environmental impact of such simple decisions.

Which one of the following is an expression of the main conclusion of the above argument?

  • AThe increased popularity of shower gel is bad for the environment.
  • BIt is unfortunate that shower gel has become more popular than soap.
  • CPeople should be made more aware of the environmental consequences of choosing shower gel.
  • DThe use of shower gel increases the problems of waste disposal.
  • EThe manufacture of shower gel is more wasteful of natural resources.
Correct answer: C People should be made more aware of the environmental consequences of choosing shower gel.

Full explanation

The passage explains that shower gel creates more rubbish (packaging). People use more of it, leading to higher consumption of natural resources. Then, state "We should make people more aware of the environmental impact of such simple decisions." This is the author's key point, with all other details serving as reasons supporting it.

Analysis of the given options

Option A : this is a supporting point, not the main conclusion.

Option B : Supporting opinion, not the core argument.

Option C : This matches the final conclusion sentence of the passage.

Option D : A supporting point, not the overall argument.

Option E : Another supporting premise.

Ten years ago in many European cities, offices typically had spaces for six bicycles, half of which were never used and spaces for 50 cars which were always full. Today, there are fewer car spaces and many more spaces for bicycles which are always full. This change to cycling may seem strange to some as cycling is more effort. Possible causes are rising fuel prices, the introduction of higher parking charges for drivers in major cities, increasing awareness of environmental issues, expensive public transport and traffic jams.

Which one of the following can be drawn as a conclusion from the above passage?

  • AUsing a bicycle is now the most popular way of travelling to work.
  • BTravellers are now much more environmentally aware than they were 10 years ago.
  • CPeople will not cycle to work unless employers provide more cycle spaces on site.
  • DTravellers are now less happy to pay the costs of car use than they were ten years ago.
  • EMore people cycle to work now than 10 years ago.
Correct answer: E More people cycle to work now than 10 years ago.

Full explanation

Given — 10 years ago : 6 bike spaces, half unused → \~3 bikes

50 car spaces, always full → \~50 cars

Today : Fewer car spaces, many more bike spaces, all bike spaces are always full

Several suggested reasons are given for the shift.

The main factual comparison is that then, there were very few bike users and now, many more bike users.

Analysis of the given options

Option A : Not supported --- the passage doesn't compare bikes to all other modes (e.g., walking, buses).

Option B : Environmental awareness is mentioned as a possible reason, not a proven conclusion.

Option C : Not supported --- no claim about cause-effect between space availability and cycling decisions.

Option D : Suggested, but still speculative --- not a directly supported conclusion.

Option E : This directly supports the conclusion and the main factual comparison.

I wish to repaint the walls of my garage. It is 3 metres high, 4 metres wide and 9 metres deep. I shall not need to paint the electronic door which covers one 3 x 4 metre end, nor the window, which is 2 metres wide and 1 metre high, nor the rear door which is 1 metre wide and 2 metres high. 1 litre of paint covers 3 square metres.

How many 1 litre tins will be needed to complete the painting?

  • A26
  • B22
  • C25
  • D18
  • E21
Correct answer: E 21

Full explanation

Garage dimensions:

Height h=3 m Width w=4 m Depth d=9 m

Areas not to be painted: Electronic door on one end: 3×4=12 m² Window: 2×1=2 m² Rear door: 1×2=2 m²

Paint coverage: 1 litre covers 3 m²

the total surface area of walls to be painted = A of 2 long walls + A of two end walls

= (27 x 2) + (12 x 2)

= 54 + 24 = 78 m²

the areas that won't be painted = A of electronic door + window + rear door

= 12 + 2 + 2 = 16 m²

Total paintable area = 78 - 16 = 63 m²

Amount of paint needed = (62)/(3) = 20.67 liters

Since you cannot buy a fraction of a tin, round up to 21 tins.

Approximately 1 in 14 men over the age of 50 has prostate cancer. The level of 'prostate specific antigen' (PSA) is used as a preliminary screening test for prostate cancer.

7% of men with prostate cancer do not have a high level of PSA. These results are known as 'false negatives'.

75% of those men with a high level of PSA do not have cancer. These results are known as 'false positives'.

If a man over 50 has a normal level of PSA, what are the chances that he has prostate cancer?

  • A7%
  • B25%
  • C5%
  • D0.7%
  • E0.5%
Correct answer: D 0.7%

Full explanation

Question : the probability that a man with a normal PSA actually has cancer. So, we will calculate this by dividing the number of cancer patients with normal PSA by the total number of patients with normal PSA.

First, we will find the total number of patients with normal PSA.

Assume a group of 1400 Men,

- Since 1 in 14 men have prostate cancer, in 1400 men, there would be:

(1400)/(14) = 100 men with cancer

Men without cancer :

1400 - 100 = 1300 men without cancer

- False Negatives: We're told 7% of men with cancer have a normal PSA result.

7% of 100 = 7 men

So, 7 men with cancer show normal PSA.

- High PSA: The remaining men with cancer (those who correctly show high PSA) are:

100 - 7 = 93 men

What About the Men Without Cancer?

It is given that among all men with high PSA, only 25% actually have cancer. In other words, if you see a high PSA, the chance that the cancer patient is among these is 25%.

- Let X be the total number of men with high PSA.

- We already have the number of cancer patients in the high PSA group: 93 men.

- Since these 93 represent 25% of all with high PSA,

0.25 × X = 93

X = (93)/(0.25) = 372

So, 372 men have high PSA overall.

Out of these 372, the number of non-cancer men (false positives) is:

372−93 = 279 men.

Now, note that there were 1300 men without cancer. Of these, 279 have high PSA. Therefore, the rest must have normal PSA:

Men without cancer with normal PSA = 1300 - 279 = 1021 men

The normal PSA result can come from:

- The false negatives (men with cancer who have normal PSA): 7 men, and

- The true negatives (men without cancer with normal PSA): 1021 men.

Thus, total with normal PSA = 7 + 1021 = 1028 men

The number of cancer patients with normal PSA is 7 as calculated above.

Therefore, probability that a man with a normal PSA actually has cancer is :

P(cancer\|normal PSA) = (Number of cancer patients with normal PSA)/(Total number with normal PSA) = (7)/(1028) = nearly 0.007 = 0.7%

The National Farmer's Union (NFU) approves of controlled killing of badgers to reduce their numbers, saying that it is needed to help farming. Badgers are animals believed to be responsible for the spread of bovine tuberculosis which results in large numbers of cows having to be destroyed every year. Animal rights supporters have criticised the proposal, but it is clear that the lives of more cattle can be saved by destroying a smaller number of badgers. This controlled killing should be allowed to go ahead.

Which one of the following is the best statement of the flaw in the above argument?

  • AIt attacks the animal rights supporters rather than their argument.
  • BIt assumes that the animal rights supporters believe that animals that are living freely have a greater right to life than those that are being bred on farms.
  • CIt assumes that the animal rights supporters believe that badgers have a greater right to life than cows.
  • DIt assumes that the arguments from the animal rights supporters are about the number of deaths.
  • EIt assumes that animal rights supporters always disagree with the NFU.
Correct answer: D It assumes that the arguments from the animal rights supporters are about the number of deaths.

Full explanation

The argument says "Animal rights supporters have criticised the proposal, but it is clear that more cattle lives can be saved by killing fewer badgers." Therefore, killing badgers should be allowed.

Flaw : This assumes the animal rights supporters' objection is based solely on comparing the number of deaths (i.e., fewer badgers killed vs. more cows saved). But their objections may be based on principles other than the number of deaths---such as the ethics of killing badgers at all, rights of animals, or alternative methods.

Analysis of the given options

Option A : The argument doesn't attack them personally; it just dismisses their criticism.

Option B : Not clearly assumed or discussed.

Option C : The argument doesn't make this comparison.

Option D : Correct. The argument's main flaw is assuming the critics object only based on numbers of deaths, ignoring possible ethical or other objections.

Option E : No such assumption is made.

Global warming is threatening the survival of California's redwoods. These trees benefit from coastal fog which is captured by the trees, causing water to drip onto the soil and therefore watering them. Since fog is now 30 percent less frequent than it was 50 years ago the trees will not have this source of water and are therefore likely to begin to die out.

Which one of the following must be assumed in the above argument?

  • AGlobal warming is to blame for the reduction in coastal fog.
  • BThe levels of fog will continue to decline.
  • COther trees will not be able to thrive in these conditions.
  • DRedwoods in other areas of the world are being similarly affected.
  • ERainfall has also reduced over the past 50 years.
Correct answer: A Global warming is to blame for the reduction in coastal fog.

Full explanation

The argument specifies that redwoods rely on coastal fog to get water. Fog has decreased by 30% in the last 50 years. So, redwoods are likely to die out. Conclusion mentioned is that global warming is threatening the survival of redwoods. If something else were causing the fog decline, then global warming wouldn't necessarily be threatening the redwoods. So, the argument falls apart unless we assume :

Global warming is to blame for the reduction in coastal fog. (Option A)

Analysis of other options

Option B : Not needed; the argument is based on past loss, not future trends.

Option C : Irrelevant.

Option D : Also irrelevant --- the argument is specific to California's redwoods.

Option E : Nice to know, but not essential to blame global warming.

One of the fastest growing beauty treatments in Britain, fish pedicures – where tiny toothless fish called garra rufa smooth feet by eating dead skin – has come under scrutiny from animal rights campaigners. One campaigner said, 'Fish are covered by the Animal Welfare Act. They need a stable environment and clean water, uncontaminated by perfume or lotions.' A spa in London's West End was closed recently by the local council when many of the fish in its pedicure pool died. There should be a complete ban on this type of pedicure, or else there will soon be no garra rufa.

Which one of the following is the best statement of the flaw in the above argument?

  • ABeauty spas which offer fish pedicures are not especially numerous at present.
  • BIt would be less harmful if people washed their feet before using the spa.
  • CFish in the wild are likely to die if their environment changes.
  • DThe death of the fish in the London spa may not be a typical occurrence.
  • EThe public does not immediately associate fish with the Animal Welfare Act.
Correct answer: D The death of the fish in the London spa may not be a typical occurrence.

Full explanation

Conclusion of the argument --- "There should be a complete ban on fish pedicures, or there will soon be no garra rufa." That's a strong claim --- suggesting that all garra rufa are at risk of extinction due to fish pedicures. But this conclusion is based on one incident --- a spa in London where fish died. The argument generalizes from a single example without evidence that it's widespread or typical.

So, the best flaw is "The death of the fish in the London spa may not be a typical occurrence." which is option D.

Analysis of other options

Option A : Even if true, it doesn't directly address the logical flaw.

Option B : A suggestion, not a flaw in reasoning.

Option C : Irrelevant --- this is about spa fish, not wild ones.

Option E : Not the flaw in the argument's logic.

The 100W light bulb (cost €0.60) is not going to be used anymore and is being replaced with the 20W (cost €3) low energy light bulb.

If electricity is charged at €0.15 per kWh, for how many hours must the low energy bulb be used in order for the lower cost of running it to exactly compensate for its higher initial cost?

  • A0.25
  • B250.00
  • C200.00
  • D160.00
  • E720.00
Correct answer: C 200.00

Full explanation

Power difference in electricity usage = 100 W - 20W = 80W (0.08kW) saved per hour.

Savings per hour = 0.08 kWh x €0.15 = €0.012

Extra initial cost for new bulb = €3.00 - €0.60 = €2.40

We want to find how many hours of use are needed to save €2.40

Time = (2.40)/(0.012) = 200 hours

Three months ago, Jane had 5 times as many DVDs as Duncan. Since then they have both bought 12 more DVDs. Jane now has twice as many as Duncan.

How many DVDs does Jane have now?

  • A72
  • B32
  • C52
  • D62
  • E42
Correct answer: B 32

Full explanation

Let it be that : 3 months ago, Duncan had "x" DVDs.

So, Jane had 5x DVDs.

In the last 3 months, both bought 12 DVDs:

Duncan now has : x+12

Jane now has : 5x + 12

We're told that Jane now has twice as many DVDS as Duncan.

So, 5x + 12 = 2(x+12)

5x + 12 = 2x + 24

5x - 2x = 24 - 12

3x = 12

x = 4

Jane = 5x + 12 = 5(4)+12 = 20 + 12 = 32 DVDs.

In preparation for my holiday in Bolandia last June, I changed €300 into Bolandian dollars every pay day from January to May (I am paid monthly).

The exchange rates were as follows:

JanuaryFebruaryMarchAprilMay
€1=$2.74$2.79$2.76$2.83$2.81

How many more Bolandian dollars would I have received altogether if, instead, I had changed the whole €1500 in May?

  • A36
  • B48
  • C66
  • D180
  • E105
Correct answer: A 36

Full explanation

Bolandian dollar changed monthly

- January : €300 × 2.74 = $822.00

- February : €300 × 2.79 = $837.00

- March : €300 × 2.76 = $828.00

- April : €300 × 2.83 = $849.00

- May : €300 × 2.81 = $843.00

Total = 822 + 837 + 828 + 849 + 843 = $4,179.00

the amount if €1500 was exchanged all at once in May = €1500 × \2.81 = \4,215.00

Difference = \4,215.00 − \4,179.00 = $36.00

Rating figures for music are now much more difficult to calculate compared to a decade ago. The introduction of new formats for selling music means that figures have to be calculated based on more methods such as downloads, in addition to the sales of CDs in shops. Additionally, the availability of more formats means that there is more potential for copies of works to be shared with other fans, who do not pay for them. These fans do not show up in the ratings, so the official ratings do not reflect the relative popularity of a work.

Which one of the following, if true, would most strengthen the above argument?

  • AThe calculation of ratings based on downloads and sales together is not difficult.
  • BSharing copies of purchased works with others is against the law.
  • CArtists are not interested in the popularity of their work, just the sales figures.
  • DThe sharing of works with other fans is more widespread for certain types of music.
  • EOfficial ratings have never reflected popularity very well.
Correct answer: D The sharing of works with other fans is more widespread for certain types of music.

Full explanation

The argument concludes that official ratings do not reflect the relative popularity of a work, mainly because:

There are more music formats now (CDs, downloads, etc.).

These formats make sharing without payment easier.

Shared copies aren't counted in official ratings.

To strengthen this argument, we need a statement that supports the idea that popularity is underrepresented due to sharing.

Analysis of the given options

Option A : Weakens the argument slightly, or at least challenges the idea that new methods make things harder.

Option B : Irrelevant. The legality of sharing does not affect whether it happens or how it impacts popularity ratings.

Option C : Irrelevant. The argument is about the accuracy of popularity ratings, not what artists care about.

Option D : Strengthens. This shows that untracked popularity (via sharing) is significant, especially in certain genres, which supports the idea that official ratings don't reflect true popularity.

Option E : Neutral. This would undermine the argument if it's meant to show the issue isn't new --- i.e., it's not worse now than before.

It has been argued that since there has to be some limit on the funding of university education by governments, it would be best to target such funding, giving a lower priority to subjects which provide little benefit to society. Some subjects, such as Medicine, Engineering and Computing should be well funded, because they are clearly of great worth to the community. Subjects such as Classics, Literature and Art should be funded at a much lower level. These subjects are primarily of interest to the individual, and a wealthy society should give some subsidy to hobby subjects. However, it must be recognised that the future of society lies in the training and development of those people who will contribute the most.

Which one of the following must be assumed in the above argument?

  • ASubjects which are of interest to individuals can also provide benefit to society.
  • BThe training of those people who will contribute most to society requires an increase in government funding in university education.
  • CMedicine, Engineering and Computing are not very interesting subjects to study.
  • DA wealthy society should not subsidise subjects which are of interest only to individuals.
  • EThe study at universities of Classics, Literature and Art provides little benefit to society.
Correct answer: E The study at universities of Classics, Literature and Art provides little benefit to society.

Full explanation

The argument argues that government funding for university education should be limited and targeted. Funding should focus on training people who contribute most to society. And high priority subjects and low priority subjects are mentioned.

Analysis of the given options

Option A : This challenges the argument and this is not assumed. it weakens the distinction made between personal interest and societal benefit.

Option B : Not assumed. The argument is about redistributing funding, not necessarily increasing it.

Option C : Irrelevant and contradicts the tone of the passage. Interest is not the focus.

Option D : The passage allows some subsidy, so this is too strong and not assumed.

Option E : This is the key assumption. If these subjects did benefit society significantly, the argument for cutting their funding would fall apart.

Roughly 60 percent of today's world population is bilingual or multilingual and it is argued that this is a new phenomenon. Today Spanish and Arabic are widely spoken whilst English is the world's most commonly spoken and written language. However, 500 years ago it was Latin which was the main language of education, religion, commerce and government in the Western World despite this not being most people's first language. In the 17th century, French and Italian gained in importance as languages of international trade.

Which one of the following can be drawn as a conclusion of the above passage?

  • AEnglish will one day be replaced as the main language of communication.
  • BSpeaking another language has always been an important practical consideration.
  • CThe majority of bilingual or multilingual people speak English.
  • DThe number of bilingual or multilingual people in the world will continue to grow.
  • EEnglish is the most common world language today because of the spread of the internet.
Correct answer: B Speaking another language has always been an important practical consideration.

Full explanation

60% of today's world population is bilingual/multilingual. This is claimed to be a new phenomenon. But the history of the importance of several languages in various fields are mentioned.

Analysis of the given options

Option A : Not supported --- the passage gives historical examples, but does not predict the future.

Option B : This is a reasonable conclusion. The passage gives historical evidence of languages (Latin, French, Italian) being used widely for practical purposes beyond native languages, and relates it to modern bilingualism. This general truth is supported.

Option C : Not mentioned. The passage says English is most commonly spoken, but doesn't say bilingual people mostly speak it.

Option D : A prediction --- not supported by the text.

Option E : Not mentioned. The internet is not discussed at all.

Child actors tend to become addicted to drink and drugs in later life, usually when they become adults but are not as successful as they were previously. The actors frequently blame their parents, who often manage their children's career and so have a reason to work them hard when they are young and enjoy the wealth their children generate for them. The child actors who avoid this are often the ones who were encouraged to keep up their schooling and explore other career options.

Which one of the following can be drawn as a conclusion from the above passage?

  • AChild actors should have other interests that allow for other career opportunities.
  • BDrug abuse is common in the entertainment industry.
  • CYoung actors who continue to work live happy, healthy lives.
  • DParents should not be allowed to manage the careers of their children.
  • EThere are fewer jobs available for adult actors.
Correct answer: A Child actors should have other interests that allow for other career opportunities.

Full explanation

Analysis of the given options

Option A : This is directly supported by the final sentence --- those who were encouraged to explore other career options were less likely to fall into addiction. It logically follows from the text.

Option B : Too general. The passage discusses child actors specifically, not the whole entertainment industry.

Option C : Not supported. The passage doesn't say those who continue acting do well --- in fact, it suggests many struggle as adults.

Option D : This is a prescription (what should be done), and it's too strong. The passage says some parents are blamed, but it doesn't suggest banning them outright.

Option E : Not mentioned. The passage discusses less success as adults, but doesn't discuss job availability.

According to the Food Standards Agency, film goers should be told how many calories there are in the popcorn, ice cream and fizzy drinks that they buy in cinemas and smaller portions of popcorn and drinks should also be available. As two thirds of adults and a third of children are already obese or overweight, with serious risk of heart disease, diabetes and cancer, the need for proper labelling to warn people about the calorie content of these items is urgent.

Which one of the following, if true, most strengthens the argument in the passage above?

  • APeople who are overweight are sometimes more concerned with their looks than the long term health risks.
  • BA large box of salted popcorn contains as many calories as a three course meal.
  • CCinemas rely on sales of food and drink to boost their profits.
  • DTrials show that consumers alter their eating habits when food is calorie-labelled.
  • EMany people think that the food and drink consumed at the cinema is as important to the visit as the film.
Correct answer: D Trials show that consumers alter their eating habits when food is calorie-labelled.

Full explanation

The Food Standards Agency recommends:

- Calorie labelling on cinema snacks.

- Smaller portion sizes should be available.

Justification: Obesity is widespread and leads to serious health risks.

Therefore, urgent need for clear labelling to help consumers make better choices.

Analysis of the given options

Option A : Irrelevant. This focuses on motives for concern, not whether labelling works.

Option B : This adds shock value, but doesn't prove that labelling would help reduce consumption. Slightly supports the argument, but not strongly.

Option C : Weakens the argument slightly --- this explains why cinemas might resist the recommendation, but doesn't strengthen the case for labelling.

Option D : This directly strengthens the argument. If labelling leads to behavioral change, then the recommendation is effective and justified.

Option E : Suggests a barrier to change. This could even weaken the argument if people are unlikely to give up their snacks.

Tom shared out some money between his three children in the ratio 5:3:2. He later had an extra €6 which he gave to the child who received the least originally. This meant that the money had been shared into one large and two equal smaller shares.

How much money in total did Tom give to the three children?

  • A€36
  • B€26
  • C€60
  • D€20
  • E€66
Correct answer: E €66

Full explanation

Let the original total amount of money be x euros. The ratio of shares is 5 : 3 : 2, so the total number of parts is:

5+3+2=10 parts

Each part is worth (x)/(10)

So, the children originally received :

- Child A (5 parts) : (5x)/(10 ) = (x)/(2)

- Child B (3 parts) : (3x)/(10)

- Child C (2 parts + extra 6) : (x)/(5) + 6

We're told that two of the children now have equal smaller shares, and one has a larger share.

So, (3x)/(10) = (x)/(5) + 6

3x = 2x + 60

x = 60

Tom originally gave €60 and later added €6, so the total is: 60+6 = 66

One radioactive substance, P, is gradually changed by radioactive decay into another, Q. Q itself decays into a third substance, R, which does not decay. The graphs below show how the quantities of P, Q and R varied with time during an experiment.

IMAT 2012 question 25 figure

What do the graphs 1, 2 and 3 represent?

  • A1:R 2:Q 3:P
  • B1:Q 2:P 3:R
  • C1:Q 2:R 3:P
  • D1:P 2:Q 3:R
  • E1:R 2:P 3:Q
Correct answer: A 1:R 2:Q 3:P

Full explanation

We are given a chain of radioactive decay:

- P decays into Q

- Q decays into R

- R is stable (does not decay)

Let's interpret the graphs:

Graph 3 : Starts highest and decreases over time. This must be P, the original substance, which gradually decays.

Graph 2 : Starts from zero, increases (as P decays into Q), then decreases (as Q decays into R). This is characteristic of Q, which is an intermediate product.

Graph 1 : Starts from zero and increases continuously. This must be R, the final stable product that accumulates over time and doesn't decay.

Therefore, graph 1 = R, graph 2 = Q, graph 3 = P

The Chief Executive of the Royal Opera House has recently offered 100 seats on any Monday night for £10. Normally these seats can cost up to £175 therefore it represents a considerable saving. However the hopes of the Chief Executive that this will attract a broader audience are likely to be disappointed. It is not the financial costs that put people off opera – it is simply that they do not like it. Many young people spend considerable sums of money going to premier football matches or 'clubbing'. This suggests, therefore, that the problem of attracting a more diverse audience to opera is more a question of culture than economics.

Which one of the following is an expression of the main conclusion of the above argument?

  • AThe 'cheap seats' policy is unlikely to attract a more diverse audience.
  • BThe intention of the 'cheap seats' policy is that it will attract a broader audience.
  • CA considerable amount of money can be saved as a result of this offer.
  • DMany young people do not like the idea of going to the opera.
  • EAttracting a broader audience for opera is a problem of taste rather than expense.
Correct answer: A The 'cheap seats' policy is unlikely to attract a more diverse audience.

Full explanation

The argument says that £10 seats are offered to attract a broader audience. But this probably won't work. Why? Because cost isn't the real issue. People, especially young people, do pay a lot for other entertainment they like. So the real issue is cultural taste, not money.

Analysis of the given options

Option A : Correct. It's the judgment the author is trying to make. Everything else in the passage supports the idea that this policy won't achieve its goal.

Option B : This is true, but it's background information, not the conclusion.

Option C : Also true, but this is just a detail, not the argument's main point.

Option D : This is an example used in the reasoning. It supports the conclusion, but isn't the conclusion itself.

Option E : This is a strong supporting reason, not the main conclusion.

The ingredients list on a tin of baked beans reads as follows (in order of descending weight):

Navy beans (51%)

Water

Sugar

Tomato puree (4.5%)

Modified maize starch

Salt

Natural flavourings

Onion powder

Paprika

What is the maximum percentage of water the tin could contain?

  • A22.2%
  • B17.5%
  • C49.0%
  • D40.0%
  • E44.5%
Correct answer: D 40.0%

Full explanation

The list is given in descending order by weight. That means:

- Navy beans are the most by weight (51%).

- Water is next --- and we are looking for its maximum possible percentage.

- All other ingredients (after water) must be less than water by weight.

To maximize water, we minimize the remaining ingredients' total.

Sugar be 4.5% (minimum possible)

Other ingredients below tomato puree be nearly 0%

Then, total percentage except water = 51% + 4.5% + 4.5% + 0 = 60%

Maximum percentage of water = 100% - 60% = 40%

Three friends, Adam, David and Sue are sharing out a bag of marbles. To do this more quickly, they take 10 marbles each time and repeat until the bag is empty. There are not enough marbles for Sue to take 10 on the last turn. Adam and David then give her two marbles each and they all have the same.

How many marbles did Sue take on the last turn?

  • A4
  • B2
  • C8
  • D6
  • E3
Correct answer: A 4

Full explanation

In 'n' full round :

- each of the three took 10n marbles.

So, in the final round :

- Adam : 10n

- David : 10n

- Sue : 10 (n-1) + x (P.S : x is the no. of marbles Sue get on last round because she didn't get 10 marbles)

Then Sue receives 2 marbles each from Adam and David:

Sue: 10 (n−1) + x + 4 = 10n - 2

10n − 10 + x + 4 = 10n - 2 ⇒ x−6 = -2 ⇒ x = 4

In a street, a survey showed that out of a hundred households 60 had a cat, 40 had a dog, and 20 had neither a cat nor a dog.

How many households had a cat but no dog?

  • A20
  • B50
  • C40
  • D10
  • E30
Correct answer: C 40

Full explanation

Total households = 100

60 households have a cat

40 households have a dog

20 have neither

So households with either a cat or a dog (or both) = 100−20 = 80

Household with both cat and dog = 20

IMAT 2012 question 29 figure

Therefore, the number of households with a cat not a dog = 40.

After a long period of dry weather, the water container in my garden contained only 28% of its capacity of water. Last week's rain, however, increased the amount of water in the container by 25%, and according to the weather forecast, a similar amount of rain is expected to fall this coming week.

If, as expected, the container gets the same amount of rainwater this coming week as it did last week, what percentage of its capacity will it then contain?

  • A66.25%
  • B42.00%
  • C78.00%
  • D60.00%
  • E43.75%
Correct answer: B 42.00%

Full explanation

Let the total capacity of the water container be 100 units (this makes percentages easy to work with).

Initial amount of water = 28 units

After last week's rain, the amount of rain increased by 25%.

New amount of water = 28 + 25% of 28 = 28+7=35 units

Coming week rain forecast : It rains the same amount again --- so another increase of 7 units.

New amount of water = 35 + 7 = 42 units

Convert to percentage of capacity : (\mathbf{42})/(\mathbf{100})\mathbf{ × 100% = 42%}

There are four rivers in Bolandia, each claiming to be the longest. Tourist board brochures in the regions containing the rivers, make the following statements:

1. The Dile is shorter than the Cubba.

2. The Bongo is shorter than the Esun.

3. The Esun is longer than the Cubba.

If all of the above are correct, which one of the following statements is definitely true?

  • AThe Bongo is longer than the Cubba.
  • BThe Esun is longer than the Dile.
  • CThe Dile is longer than the Esun.
  • DThe Cubba is longer than the Bongo.
  • EThe Dile is shorter than the Bongo.
Correct answer: B The Esun is longer than the Dile.

Full explanation

Given statements :

- The Dile < The Cubba

- The Bongo < The Esun

- The Esun > The Cubba

Let's express them in inequality form :

D<C

B<E

E>C

Analysis of the given options

Option A : We don't know. Only B<E and C<E, but no info on B vs C.

Option B : From D<C<E , so yes, D<E ⇒ E>D

Option C : D<E ⇒ this is false

Option D : We don't know the relationship between B and C

Option E : We know D<E and B<E, but nothing about D vs B

The table below shows the number of people who voted for each candidate in the recent school election:

NameAlisonHaroldKevinPeterRachel
Votes841007212663

When drawing a pie chart of the results one of the numbers above was not read correctly (the other four were correct). The angles were calculated as 113.4 degrees, 90 degrees, 75.6 degrees, 56.7 degrees, and 24.3 degrees.

Whose score was copied incorrectly when the pie chart was constructed?

  • AKevin
  • BPeter
  • CRachel
  • DAlison
  • EHarold
Correct answer: A Kevin

Full explanation

The angles were calculated as 113.4 degrees, 90 degrees, 75.6 degrees, 56.7 degrees, and 24.3 degrees.

The number 90' looks neat and tidy, so, let's use that as a reference number.

Harold got the second largest vote and got the share of 90' on the pie chart.

The ratio of constructing pie chart = (90)/(100) = 0.9

For Alison (84 vote) : degree on pie chart = 84 x 0,9 = 75.6 degrees

For Harold : 90 degree (Used as reference)

For Kevin (72 votes) : degree on pie chart = 72 x 0.9 = 64.8 degrees

For Peter (126 votes) : degree on pie chart = 126 x 0.9 = 113.4 degrees

For Rachel (63 votes) : degree on pie chart = 63 x 0.9 = 56.7 degrees

Therefore, the only degree that does not match with the degree on pie chart given is that of Kevin.

A regular train service operates between Jayford and Kayton, a 16 km journey which takes 19 minutes. The trains travel at a constant speed of 60 km per hour in both directions except through a tunnel, where they are limited to 20 km per hour. Trains travelling towards Kayton enter the tunnel 4 km after setting off from Jayford.

How long is the tunnel?

  • A4.5 km
  • B2.5 km
  • C1.5 km
  • D3.5 km
  • E0.5 km
Correct answer: C 1.5 km

Full explanation

We are given:

- Total distance: 16 km

- Total time: 19 minutes = 19/60 hours

- Speed outside the tunnel: 60 km/h

- Speed in the tunnel: 20 km/h

- The tunnel begins 4 km after Jayford

Let the length of the tunnel be x km.

Time taken outside and inside the tunnel

Before tunnel: 4 km at 60 km/h Time = (4)/(60) = (1)/(15) hr

Tunnel section : x km at 20 km/h

Time = (x)/(20)

After tunnel : (16 - 4 - x) km at 60 km/h

Time = (12 - x)/(60)

Total time equation :

(1)/(15) + (x)/(20) + (12 - x)/(60) = (19)/(60)

4 + 3x + (12 - x) = 19

4 + 3x + 12 - x = 19

16 + 2x = 19

2x = 3

x = 1.5 km

After Northern Europe experienced the coldest weather for several years last winter, people are claiming that the theories of global warming are incorrect. This is not a conclusion that can be drawn from the information as it is only based on a single year's data. Global warming is based on long term changes in average temperature. It therefore does not mean that the temperature will increase every year. The extreme weather last winter was caused by cold air from the Arctic which is normally kept there by strong winds around the pole. Last winter those winds were not as strong.

Which one of the following, if true, would most strengthen the above argument?

  • ASome of the people claiming that the theories of global warming are incorrect do not come from areas that had very cold weather last winter.
  • BAlthough the weather was very cold last winter, the winter before was of average temperature.
  • COther regions of the Northern Hemisphere were hotter last winter than in previous years.
  • DAll the people claiming that theories of global warming are incorrect come from areas that had very cold weather last winter.
  • EThe claims that theories of global warming are incorrect are supported by further evidence.
Correct answer: C Other regions of the Northern Hemisphere were hotter last winter than in previous years.

Full explanation

The main argument is that one cold winter in Northern Europe does not disprove global warming, which is based on long-term global trends, not short-term local events.

To strengthen an argument about long-term global warming trends, you need evidence that supports global patterns, like rising temperatures elsewhere.

Analysis of the given options

Option A : Irrelevant. Where the critics come from doesn't address the core of climate science or the logic of the argument.

Option B : Weak. An average previous winter doesn't strongly support or weaken the argument about long-term trends.

Option C : It provides evidence of warming elsewhere, supporting the idea that global temperatures may still be rising even if one region experienced a cold winter.

Option D : Like A, it's just a demographic observation, not a logical support for global climate trends.

Option E : Contradicts the argument --- it weakens it by supporting the opposing claim.

A student gives his friends small, short term loans for periods of 1, 2 or 3 weeks after which time they must be repaid in full. He always lends on a Friday afternoon. He starts with €120 and loans out the following amounts each week:

Week1234
Amount€45€25€18€20

What is the smallest amount of money he has by the end of the 4th Friday?

  • A€82
  • B€12
  • C€77
  • D€100
  • E€57
Correct answer: E €57

Full explanation

IMAT 2012 question 35 figure

Since we need to calculate the smallest amount he has by the end of the 4th Friday,

Hundreds of miles of motorways are lit by unnecessary street lights. There is a need to save energy usage in all public services and it is time that the government considered turning off street lighting. Modern cars have powerful headlights which provide a clear view of the road ahead even without overhead lighting. There is also evidence to suggest that when drivers move from an area with lighting to an area without they are more likely to have an accident than those drivers who have driven exclusively on roads without lighting.

Which one of the following, if true, would most strengthen the above argument?

  • AThere is evidence that there are fewer daytime accidents on those motorways without lighting.
  • BDriving in well lit areas at night can lead to a lack of concentration.
  • CResearch suggests that older drivers find driving without lighting more difficult.
  • DMany drivers find driving on unlit roads difficult.
  • EStreet lighting costs less than other types of road maintenance.
Correct answer: B Driving in well lit areas at night can lead to a lack of concentration.

Full explanation

The main argument is advocating for turning off unnecessary street lighting on motorways to save energy, and it suggests several points.

Analysis of the given options

Option A : Daytime accidents are irrelevant to a discussion about night-time lighting.

Option B : Since the argument claims that removing lights doesn't harm safety, B best strengthens it by suggesting lighting could even impair driving performance.

Option C : Weakens the argument --- suggests turning off lights could endanger older drivers.

Option D : Also weakens the argument --- implies that many drivers struggle without lighting.

Option E : Cost comparison with road maintenance is irrelevant. The argument is about energy saving, not budget prioritization.

The following information appears on a 200g packet of biscuits:

IMAT 2012 question 37 figure

How many biscuits are there in a full packet?

  • A22
  • B11
  • C6
  • D13
  • E7
Correct answer: D 13

Full explanation

To find out how many biscuits are in a full 200g packet:

- Each biscuit contains 79 kcal.

- The nutrition label says 100g = 510 kcal.

First, calculate how many kcal are in the whole 200g packet:

200g × (510 kcal)/(100g) = 1020 kcal

Next, divide the total kcal in the packet by the kcal per biscuit:

(1020 kcal)/(79 kcal per biscuit) = 12.9

So, there are 13 biscuits in a full pocket (since you can't have a fraction of a biscuit, round to the nearest whole number)

A restaurant owner who has put grey squirrel on the menu has called it the 'ultimate ethical food'. The grey squirrel, a small, tree-dwelling rodent introduced to Britain over a century ago, is breeding so rapidly that the native red squirrel is disappearing. Encouraging the consumption of the grey species as food may help protect the red one, in her view. The owner added that squirrel meat was free range, low fat and low on air miles. However, we can challenge this, as it is all just a cheap publicity stunt to increase business in the restaurant. Squirrels should not be on the menu!

Which one of the following is the best statement of the flaw in the above argument?

  • AIt attacks the owner's motive rather than her reasons.
  • BIt assumes the disappearance of the red squirrel justifies eating the grey squirrel.
  • CIt attacks the whole notion of an ethical food.
  • DIt assumes that eating grey squirrels will protect the red squirrel.
  • EIt assumes that red squirrels don't need protecting.
Correct answer: A It attacks the owner's motive rather than her reasons.

Full explanation

The flaw in the argument is that it dismisses the restaurant owner's reasoning (about ethical sourcing and protecting red squirrels) by attacking her motive --- claiming it's just a publicity stunt --- instead of addressing her actual arguments.

Analysis of the given options

Option A : The argument's flaw lies in attacking the owner's intentions rather than engaging with her ethical reasoning --- making A the best choice.

Option B : The argument doesn't assume the red squirrel's disappearance justifies eating greys --- that's part of the restaurant owner's reasoning, not the critic's flaw.

Option C : The critic doesn't attack the entire concept of ethical food --- just this specific case.

Option D : The flaw isn't in assuming eating greys will help reds --- again, that's the owner's claim, not a flaw in the criticism.

Option E : The critic doesn't assume red squirrels don't need protecting --- that's irrelevant to the argument's flaw.

Health services should find better ways to take blood pressure readings for patients thought to be suffering from high blood pressure (hypertension). One third of patients thought to have high blood pressure may actually have 'white coat' hypertension, according to a new study. 'White coat' hypertension means that a patient's blood pressure is high at the doctor's surgery, probably due to anxiety, but normal in everyday life. In the study, patients said to have hypertension had their blood pressure measured in a normal environment; more than one third of these patients' blood pressures were in the normal range when they were at home or participating in their usual activities. It is worrying that patients are being treated with drugs with some negative side effects to reduce high blood pressure which they do not actually have.

Which one of the following best expresses the conclusion of the argument above?

  • ATwo thirds of patients said to have hypertension are being wrongly treated.
  • BMore effective ways of measuring blood pressure are needed.
  • CHealth services could save money currently spent on unnecessarily prescribed drugs.
  • DAnxiety is the most common cause of high blood pressure.
  • E'White coat' hypertension has no medical significance.
Correct answer: B More effective ways of measuring blood pressure are needed.

Full explanation

The passage builds a case for improving how blood pressure is measured, particularly outside clinical environments.

Analysis of the given options

Option A : Overstates the data; only one third were affected in the study. This is factually incorrect.

Option B : Correct. It directly reflects that conclusion.

Option C : This is a possible implication, not the main conclusion of the argument.

Option D : The passage does not claim this about all hypertension cases.

Option E : This claim is not made at all; the passage stresses the significance of misdiagnosis due to it.

As John walks along the High Street, the numbers to his left increase while the numbers to his right decrease, as in the diagram below.

IMAT 2012 question 40 figure

The street where he lives is numbered in the same way. He lives at number 8 Princess Road and the house directly opposite his house is number 11.

How many houses are there on Princess Road?

  • A18
  • B16
  • C20
  • D14
  • E19
Correct answer: A 18

Full explanation

To solve the problem, let's analyze the numbering system:

- On High Street, the houses on one side are numbered 1 to 7 (left to right), and directly opposite, the houses are numbered 14 to 8 (left to right).

- Each pair of houses directly opposite each other adds up to 15 (e.g., 1 + 14, 2 + 13, \..., 7 + 8).

Let's denote:

- The houses on John's side are numbered from 1 up to N.

- The houses on the opposite side are numbered from 2N down to N+1.

Since John lives at 8 and directly opposite is 11, using the pattern:

- The sum of the numbers of directly opposite houses is always (N + 1) + N = 2N + 1.

So, for John:

- 8 (his house) + 11 (opposite) = 19

- Therefore, 2N + 1 = 19

- 2N = 18

- N = 9

So, there are 9 houses on each side, making a total of 18 houses on Princess Road.

Biology

Cell biology, genetics, molecular biology & human physiology · 18 questions
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If a glucose molecule became incorporated as a non-terminal component of starch, which two regions, labelled i to v, would be involved in forming glycosidic bonds?

IMAT 2012 question 41 figure
  • Ai and iii
  • Biii and v
  • Cii and iv
  • Di and iv
  • Eii and v
Correct answer: E ii and v

Full explanation

Starch is a polymer of glucose units linked mainly by α(1→4) glycosidic bonds (and α(1→6) at branch points). In glucose, the 1st carbon and the 4th carbon are involved in forming these glycosidic bonds. In the given image, the hydroxyl group of C1, region ii, and the hydroxyl group of C4, region v, would be involved in forming glycosidic bonds in a nonterminal glucose of starch.

In a reflex arc that comprises a pain receptor cell in the skin, three neurones and a muscle (effector), the number of synapses found in the central nervous system (CNS) is:

  • A3
  • B5
  • C4
  • D1
  • E2
Correct answer: E 2

Full explanation

Reflex arc components (with 3 neurons)

1. Sensory neuron — from the pain receptor in the skin to the spinal cord (CNS)

2. Relay neuron (interneuron) — entirely within the spinal cord

3. Motor neuron — from the spinal cord to the muscle (effector)

Synapses in the CNS:

- First synapse: Between the sensory neuron and the relay neuron

- Second synapse: Between the relay neuron and the motor neuron

So, these are the only two synapses involved within the CNS in this standard three-neuron reflex arc.

Which one of the following molecules will contain the greatest number of different elements?

  • Aamino acids
  • Bpolysaccharide carbohydrates
  • Clipids
  • Dmonosaccharide carbohydrates
  • Ewater
Correct answer: A amino acids

Full explanation

Amino acids

- Basic elements : C, H, O, N, S (in some amino acids)

- Total: 4-5 different elements

Polysaccharide carbohydrate

- Made of repeating sugar units

- Contains : C, H and O

- Total: 3 elements

Lipids

- Mainly composed of fatty acids and glycerol

- Contain : C, H and O

Monosaccharide carbohydrates

- Simple sugars (like glucose, fructose)

- Contain: C, H and O

- Total: 3 elements

Water (H₂O)

- Contains H and O

Therefore, amino acids contain the greatest number of different elements.

Which of the examples of homeostasis do NOT require the brain to be involved in the control process?

1. temperature regulation

2. osmoregulation (regulation of the water content of blood)

3. blood glucose concentration regulation

  • A2 and 3 only
  • B3 only
  • C1 and 2 only
  • D2 only
  • E1 only
Correct answer: B 3 only

Full explanation

Temperature regulation

- Involves the brain, specifically the hypothalamus, which acts as the body's thermostat.

- Brain is required.

Osmoregulation

- Also controlled by the hypothalamus, which detects water levels and signals the pituitary gland to release ADH.

- Brain is required.

Blood glucose concentration regulation

- Controlled primarily by the pancreas (through insulin and glucagon secretion).

- Does not require the brain.

Correct option: B. 3 only

The diagram below represents the fluid mosaic model of the cell (surface) membrane.

IMAT 2012 question 45 figure

Only two of the labelled molecules have both hydrophobic and hydrophilic areas. Which two molecules are they?

  • AP and Q
  • BR and S
  • CQ and R
  • DS and T
  • EP and T
Correct answer: A P and Q

Full explanation

Molecules mentioned are

P : phospholipids --- composed of hydrophilic phosphate head and hydrophobic fatty acid tail. So, this molecule contains both hydrophobic and hydrophilic areas.

Q: Transmembrane protein --- the outer part is composed of hydrophobic sides chains to span the hydrophobic core of the phospholipid bilayer. The parts exposed on extracellular and cytoplasmic surfaces interact with aqueous environment and therefore are composed of hydrophilic side chains. So, it contains both hydrophobic and hydrophilic side chains.

R: Carbohydrate part of glycolipids : composed entirely of hydrophilic monosaccharide units.

S and T : Peripheral proteins --- located on the inner surface of the membrane. so they do not interact with the hydrophobic core of the lipid bilayer and they are mostly hydrophilic, since they interact with polar head groups or aqueous environments.

Therefore, only P and Q label molecules that have both hydrophobic and hydrophilic areas.

Which row of the table correctly identifies a blood vessel that has a low concentration of carbon dioxide and a vessel that has a low concentration of urea?

low carbon dioxidelow urea
Row 1renal veinpulmonary artery
Row 2pulmonary veinrenal vein
Row 3renal arterypulmonary vein
Row 4pulmonary veinrenal artery
Row 5pulmonary arteryrenal vein
  • ARow 5
  • BRow 2
  • CRow 4
  • DRow 3
  • ERow 1
Correct answer: B Row 2

Full explanation

Vessel that has a low concentration of carbon dioxide is the pulmonary vein (which returns from the lungs). Vessel that has a low concentration of urea is the renal vein (which already secreted the urea waste into renal tubules)

Gene expression can be regulated by:

  • Atranscription factors
  • BDNA replication factors
  • CRNA polymerase
  • Drough endoplasmic reticulum
  • Ethe position of the genes on the alleles
Correct answer: A transcription factors

Full explanation

A. Transcription factors --- Yes, these are proteins that bind to specific DNA sequences near genes to increase or decrease transcription and play a key role in gene regulation.

B. DNA replication factors --- involved in DNA replication, not gene expression. Do not regulate transcription or translation.

C. RNA polymerase --- Essential for transcription, however, it is not a regulatory factor by itself.

D. Rough endoplasmic reticulum --- Involved in protein synthesis and folding, especially for membrane bound or secretory proteins. it does not regulate gene expression.

E. The position of the genes on the alleles --- Alleles are versions of a gene and their position doesn't regulate expression.

In a set of genetic crosses the offspring produced showed the same phenotype ratio of 9:3:3:1. Which of the following statements could be true?

1. two genes each with two alleles were studied

2. all parents were heterozygous

3. some offspring had a phenotype different to the parents

4. some offspring had a phenotype the same as the parents

  • A1, 2, 3 and 4
  • B1 and 2 only
  • C3 and 4 only
  • D2 and 3 only
  • E1 only
Correct answer: A ) 1,2, 3 and 4

Full explanation

9:3:3:1 is the classic dihybrid result. It involves two genes, each with two alleles (dominant & recessive) Example : AaBb x AaBb.

So, this ratio reflects the phenotypic outcome of combining two heterozygous parents.

Analysis of the given statements

Statement 1 : two genes each with two alleles were studied

This is exactly what a 9:3:3:1 ratio suggests.

Statement 2 : all parents were heterozygous

In a 9:3:3:1 cross (AaBb × AaBb), both parents are heterozygous for both genes.

Statement 3 : some offspring had a phenotype different to the parents

Yes --- parents likely had the dominant phenotype for both traits (A_B\_), but offspring could have combinations like A_bb, aaB\_, or aabb, which are different.

Statement 4 : some offspring had a phenotype the same as the parents

Yes --- the 9 in the 9:3:3:1 ratio represents offspring with the same phenotype as the heterozygous parents (dominant for both traits).

Therefore, all the listed statements are consistent with a 9:3:3:1 dihybrid cross.

Which one of the following would be different in a pair of non-identical twins?

  • Aalleles
  • Bamount of nuclear DNA
  • Cthe total of adenine plus guanine
  • Dgenes
  • Echromosome number
Correct answer: A alleles

Full explanation

Non-identical twins : Arise from two different eggs fertilized by two different sperm. Genetically, they are like regular siblings.

Analysis of the given options

Option A : Non-identical twins have different combinations of alleles inherited from each parent. This is correct.

Option B : Incorrect. All humans (excluding abnormalities) have about the same amount of nuclear DNA. Both twins will have roughly equal total DNA content.

Option C :Incorrect. The total amount of nitrogenous bases is largely the same in all humans.

Option D : Incorrect. Both twins have the same set of genes (i.e., same locations and types of genes), just different versions (alleles).

Option E : Incorrect. Both twins have the normal 46 chromosomes.

Which one of the following is NOT correct about human chromosomes?

  • AThey contain regions called genes.
  • BThey are made of DNA and protein.
  • CThey are sometimes not found in pairs
  • DThey can attach to the spindle at the centriole.
  • EThey are sometimes found in pairs.
Correct answer: D They can attach to the spindle at the centriole.

Full explanation

Analysis of the given options

Option A : True. Genes are segments of DNA located on chromosomes that code for proteins or RNA.

Option B : True. Chromosomes consist of DNA wrapped around histone proteins, forming chromatin.

Option C : True. In gametes (sperm and egg), chromosomes are not in pairs (haploid: 23 chromosomes). In somatic cells, they are in pairs (diploid: 46 chromosomes).

Option D : Incorrect. Chromosomes attach to spindle fibers via their centromeres, not directly to centrioles. Centrioles help organize the spindle apparatus, but chromosomes do not attach to them.

Option E : True. In most human cells (diploid), chromosomes are arranged in homologous pairs.

Which one of the following is NOT true of human hormones?

  • AThey are all released from glands and flow down ducts into the bloodstream.
  • BA hormone may affect one or more structures in the body.
  • CThey travel at the speed of blood flow.
  • DThey are all chemicals.
  • ESome, such as testosterone and oestrogen, can be steroids.
Correct answer: A They are all released from glands and flow down ducts into the bloodstream.

Full explanation

Analysis of the given options

Option A : False. Hormones are released from endocrine glands, which are ductless. Glands that release substances through ducts (like salivary glands) are exocrine, not endocrine.

Option B : True. Hormones can have multiple target organs or tissues. Example: Adrenaline affects the heart, lungs, and liver.

Option C : True. Hormones are carried in the bloodstream, so they move as fast as the blood circulates.

Option D : True. Hormones are chemical messengers --- can be proteins, peptides, amines, or steroids.

Option E : True. These are steroid hormones, derived from cholesterol.

Which of the following transport mechanisms require the use of protein molecules found in membranes and ATP?

1. Active transport

2. Diffusion

3. Facilitated diffusion

  • A1 and 2 only
  • B2 and 3 only
  • C3 only
  • D1 only
  • E1 and 3 only
Correct answer: D 1 only

Full explanation

Active transport

- Uses membrane proteins: Yes (carrier proteins or pumps)

- Requires ATP: Yes — moves substances against the concentration gradient. Example : Na-K pump

Diffusion

- Uses membrane proteins: No

- Requires ATP: No

- It is the passive movement of small, non-polar molecules directly through the lipid bilayer

Facilitated diffusion

- Uses membrane proteins: Yes (channels or carriers)

- Requires ATP: No

- Movement is passive, down the concentration gradient

Therefore, Active transport is the only process here that requires both membrane proteins and ATP

Which one of the following labels, i to v, represents a nucleotide?

IMAT 2012 question 53 figure
  • Ai
  • Biv
  • Cv
  • Dii
  • Eiii
Correct answer: C v

Full explanation

A nucleotide is composed of a ribose sugar, nitrogenous base and a phosphate group. Among the given labels, label "v" satisfies the components of a nucleotide.

Which of the following crosses is most likely to produce offspring of genotype GgNn?

  • AggNN x GGNn
  • BGGNn x GgNn
  • CggNn x GGNN
  • DGGNN x ggnn
  • EGgNn x GgNn
Correct answer: D GGNN x ggnn

Full explanation

Among the given options, GGNN x ggnn cross is the most likely to produce GgNn because 100% of offspring from that cross will be GgNn. In the other crosses, GgNn offspring is possible but there are other cross results that have equal chance to appear as an offspring.

Antibiotics are becoming less effective due to:

  • Apeople becoming immune to them
  • Bpeople not finishing the full course
  • Cnew antibiotics being available
  • Dpeople becoming resistant to them
  • Eartificial selection
Correct answer: B people not finishing the full course

Full explanation

Analysis of the given options

Option A : Incorrect. Immunity refers to body's defense against pathogens. People do not become immune to antibiotics --- bacteria do.

Option B : Correct. Not completing the full course can leave partially resistant bacteria alive, which reproduce and spread. This promotes antibiotic resistance.

Option C : Incorrect. New antibiotics help combat resistance, they don't cause it.

Option D : Incorrect. Bacteria, not people, become resistant to antibiotics.

Option E : The emergence of antibiotic resistance is an unintended consequence of antibiotic use --- making it a case of natural selection under human-influenced conditions, not true artificial selection.

The following organelles are involved in processing amino acids into glycoprotein:

1. Golgi apparatus

2. Ribsomes

3. RER

Which sequence is correct for this process?

  • A3 → 1 → 2
  • B2 → 3 → 1
  • C1 → 2 → 3
  • D1 → 3 → 2
  • E2 → 1 → 3
Correct answer: B 2 → 3 → 1 (Ribosomes → RER → Golgi apparatus)

Full explanation

Ribosomes --- Translate mRNA into a polypeptide chain (protein synthesis). Ribosomes attached to the Rough Endoplasmic Reticulum (RER) make proteins destined for secretion or for membranes.

RER --- Processes and folds the protein. Begins modification, including early glycosylation (addition of sugar chains to amino acids). Sends proteins in vesicles to the Golgi.

Golgi apparatus --- Further modifies, processes, and packages the glycoprotein. Completes glycosylation and directs the glycoprotein to its final destination (e.g. membrane, secretion).

Correct sequence : Ribosomes → RER → Golgi Apparatus

Which of the following are increased when the level of adrenaline rises in a human?

1. heart rate

2. breathing rate

3. impulse rate in a sensory neurone

  • A1 and 3 only
  • B1 only
  • C2 and 3 only
  • D1 and 2 only
  • E1, 2 and 3
Correct answer: D 1 and 2 only

Full explanation

Let's evaluate each option in the context of what adrenaline (also called epinephrine) does in the human body:

1. Heart rate --- Increased. Adrenaline binds to receptors in the heart, causing it to beat faster and stronger. This supports the "fight or flight" response by increasing blood flow to muscles.

2. Breathing rate --- Increased. Adrenaline causes the airways to dilate and the respiratory rate to increase to provide more oxygen to the body.

3. Impulse rate in a sensory neuron --- Incorrect. Not increased directly by adrenaline. Sensory neurones fire based on stimuli, not hormone levels. Adrenaline affects motor responses and internal organs, but not sensory input speed.

Which of the following is/are true about hydrogen bonds between water molecules?

1. They are weak bonds.

2. They are strong bonds.

3. They are temporary bonds.

4. They require hydrolysis to break.

  • A1 only
  • B2 and 4 only
  • C1 and 3 only
  • D2 and 3 only
  • E1 and 4 only
Correct answer: C 1 and 3 only

Full explanation

Analysis of the given statements

Statement 1 : They are weak bonds . True. Hydrogen bonds are intermolecular forces, much weaker than covalent or ionic bonds.

Statement 2 : They are strong bonds

False. They are not strong in the context of chemical bonds.

Statement 3 : They are temporary bonds.

True. Hydrogen bonds form and break rapidly, especially in liquid water.

Statement 4 : They require hydrolysis to break.

False. Hydrolysis is a chemical reaction involving water to break covalent bonds (e.g. in polymers). Hydrogen bonds do not require hydrolysis --- they can break through thermal motion (kinetic energy).

Chemistry

General, inorganic, organic & biochemistry · 11 questions
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Which one of the following could NOT be the formula of an aldehyde?

  • AC6H12O2
  • BC5H10O2
  • CC5H10O
  • DC5H12O
  • EC6H12O
Correct answer: D C5H12O

Full explanation

Analysis of the given options

Option A : C6H12O2

- Matches the general aldehyde formula: CₙH₂ₙO

- Pentanal → CH₃--CH₂--CH₂--CH₂--CHO

Option B : C5H10O2

- Also fits CₙH₂ₙO form

- possible for straight-chain hexanal: CH₃--CH₂--CH₂--CH₂--CH₂--CHO

Option C : C5H10O

- Does not match CₙH₂ₙO

- But could still be an aldehyde if it's a derivative, e.g. a hydroxyaldehyde

- Example: 5-hydroxy-pentanal (Has both an --OH and a --CHO)

- HO--CH₂--CH₂--CH₂--CH₂--CHO

Option D : C5H12O

- Cannot be an aldehyde because it has too many hydrogens.

- Cannot form a double bond to oxygen (C=O). Could be the formula of an alcohol. (pentanol --- CH₃--CH₂--CH₂--CH₂--CH₂--OH)

Option E : C6H12O

- not a simple aldehyde, but could be a molecule with a --CHO group plus a second oxygen-containing group (like --OH or another =O):

- Example: 6-hydroxy-hexanal : HO--CH₂--CH₂--CH₂--CH₂--CH₂--CHO

Which of the following statements are correct about the solvent properties of water?

1. All ionic substances dissolve in water.

2. All covalent substances are insoluble in water.

3. The solubility of solids usually increases with a rise in temperature.

  • A1 only
  • B2 only
  • C2 and 3 only
  • Dnone
  • E3 only
Correct answer: E 3 only

Full explanation

Analysis of the given statements

Statement 1 : Incorrect. While many ionic substances (like NaCl) do dissolve in water due to water's polarity,not all ionic compounds are soluble (e.g. barium sulfate, silver chloride are sparingly soluble or insoluble).

Statement 2 : Incorrect. Some covalent compounds are soluble in water --- particularly polar covalent substances, like: Ethanol, glucose, ammonia.

Statement 3 : Correct. This is generally true, though not universal (some exceptions exist, like cerium sulfate). But in most cases, heating increases solubility of solids in water due to higher kinetic energy and faster dissolution rate.

In the following reactions, which substances are acting as oxidising agents?

C(s) + O₂(g) → CO₂(g)

2Fe³⁺(aq) + 2I⁻(aq) → 2Fe²⁺(aq) + I₂(aq)

Mg(s) + 2H⁺(aq) → Mg²⁺(aq) + H₂(g)

  • AC(s), Fe3+(aq), H+(aq)
  • BC(s), Fe3+(aq), Mg(s)
  • CO2(g), I-(aq), H+(aq)
  • DO2(g), Fe3+(aq), H+(aq)
  • EO2(g), I-(aq), Mg(s)
Correct answer: D O2(g), Fe3+(aq), H+(aq)

Full explanation

Oxidising agent = substance that gains electrons (and causes another to be oxidised).

C(s) + O₂(g) → CO₂(g)

- Carbon goes from 0 (C) → +4 (in CO₂) → oxidised

- Oxygen goes from 0 (O₂) → --2 (in CO₂) → reduced

Oxidising agent = O₂

2Fe³⁺(aq) + 2I⁻(aq) → 2Fe²⁺(aq) + I₂(aq)

- Fe³⁺ → Fe²⁺ → gains electrons → reduced

- I⁻ → I₂ → loses electrons → oxidised

Oxidising agent = Fe³⁺

Mg(s) + 2H⁺(aq) → Mg²⁺(aq) + H₂(g)

- Mg → Mg²⁺ → loses electrons → oxidised

- H⁺ → H₂ → gains electrons → reduced

Oxidising agent = H⁺

Which one of the following is NOT correct about Fe, Cu and Zn, which are in the first row of the transition metals?

  • AThey all form basic oxides.
  • BThey all have densities greater than those of Group 1 metals.
  • CThey are all reactive metals.
  • DAll of them form M2+ ions.
  • EOnly two of them form coloured ions.
Correct answer: C They are all reactive metals.

Full explanation

Analysis of the given options

Option A : correct statement. FeO, CuO, and ZnO are basic oxides and they can react with acids to form salts and water.

Option B : correct statement. Transition metals are denser than Group 1 metals.

Option C : Copper is often considered unreactive. Therefore, this is the incorrect option.

Option D : Correct. Fe²⁺, Cu²⁺, and Zn²⁺ are all common ions for these metals.

Option E : Correct. Fe and Cu form coloured ions while Zn²⁺ does not → it has a full dⁱ⁰ configuration → no d-d transitions.

The Avogadro constant is 6.0 x 1023 mol-1.

How many hydrogen atoms are there in 0.420 g of cyclohexane? [Ar: H = 1; C = 12]

  • A1.8 x 1022
  • B3.0 x 1021
  • C3.0 x 1022
  • D1.8 x 1023
  • E3.6 x 1022
Correct answer: E 3.6 x 1022

Full explanation

Given : Mass of cyclohexane = 0.420 g

Molecular formula of cyclohexane = C₆H₁₂

Molar mass of cyclohexane (C₆H₁₂) : Mr ​= (6×12) + (12×1) = 72+12 = 84 g/mol

Number of moles of cyclohexane = (0.420g)/(84 g/mol) = 0.005 mol

Number of molecules of cyclohexane = 0.005 mol × 6.0 × 1023 = 3 × 1021 molecules

Each cyclohexane molecule contains 12 hydrogen atoms.

Number of hydrogen atoms = 3 × 1021 × 12 = 3.6 × 1022 hydrogen atoms

What is the total number of electrons in the ions of sodium chloride?

  • Asodium ion = 11; chloride ion = 17
  • Bsodium ion = 8; chloride ion = 8
  • Csodium ion = 11; chloride ion = 18
  • Dsodium ion = 10; chloride ion = 18
  • Esodium ion = 10; chloride ion = 17
Correct answer: D sodium ion = 10; chloride ion = 18

Full explanation

In sodium chloride, sodium loses one electron to form Na⁺ ion and chlorine gains 1 electron from sodium to form Cl⁻ ion.

There are 11 electrons in neutral sodium atoms and 17 electrons in neutral chlorine atoms.

Sodium ion (Na⁺) --- 10 electrons, Chlorine ion (Cl⁻) --- 18 electrons

Which one of the following is correct about the first and second electron affinities of oxygen?

  • Afirst = slightly exothermic; second = very endothermic
  • Bfirst = slightly exothermic; second = very exothermic
  • Cfirst = slightly endothermic; second = very exothermic
  • Dfirst = slightly endothermic; second = very endothermic
  • Efirst = very exothermic; second = very exothermic
Correct answer: A first = slightly exothermic; second = very endothermic

Full explanation

Electron affinity is the energy change when 1 mole of electrons is added to 1 mole of gaseous atoms or ions.

First Electron Affinity (EA₁) of Oxygen:

O(g) + e− → O⁻(g)

- An electron is attracted to the neutral atom.

- Energy is released ⇒ exothermic

Second Electron Affinity (EA₂) of Oxygen:

O⁻(g) + e− → O²⁻(g)

- An electron is added to a negative ion.

- There is strong repulsion between the O⁻ ion and the incoming electron.

- So, energy must be supplied ⇒ very endothermic

The positions of some elements in the Periodic Table are shown below.

IMAT 2012 question 66 figure

Which one of the following pairs of elements is most likely to form a covalent bond?

  • Amagnesium and bromine
  • Bstrontium and oxygen
  • Cpotassium and chlorine
  • Dcalcium and chlorine
  • Eberyllium and iodine
Correct answer: E beryllium and iodine

Full explanation

On the periodic table, electronegativity generally increases from left to right across a period and decreases down a group. A smaller electronegativity difference between two elements results in greater covalent character in their compound.

Even without exact electronegativity values, we can infer that a pair consisting of an element from the top left and another from the bottom right of the periodic table would likely have the least difference, and thus the most covalent character. Among the given options, beryllium and iodine best fit this pattern.

Consider the following reactions

C₂H₅Br + OH⁻ → C₂H₅OH + Br⁻ Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s) Mg(s) + Cu²⁺(aq) → Mg²⁺(aq) + Cu(s)

Which one of the following types of reaction is NOT included in this list?

  • Asubstitution
  • Boxidation/reduction
  • Cdisplacement
  • Dprecipitation
  • Eelimination
Correct answer: E elimination

Full explanation

C₂H₅Br + OH⁻ → C₂H₅OH + Br⁻

- This is a nucleophilic substitution reaction, where OH⁻ replaces Br⁻.

Ba²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s)

- This is a precipitation reaction, forming insoluble BaSO₄.

Mg(s) + Cu²⁺(aq) → Mg²⁺(aq) + Cu(s)

- This is a displacement reaction and also involves oxidation/reduction.

- Mg is oxidised (0 → +2)

- Cu²⁺ is reduced (+2 → 0)

Which rows of the table correctly describe the reactions of the aqueous acids with amines and amides?

AminesAmides
Row 1Ethanoic acidreactsdoes not react
Row 2Nitrous acidreactsreacts
Row 3Sulphuric aciddoes not reacthydrolyses
  • ARows 2 and 3
  • BRows 1 and 3
  • CNone of the rows
  • DAll of the rows
  • ERows 1 and 2
Correct answer: E Rows 1 and 2

Full explanation

Amines : Act as bases, accepting a proton from acids. React with almost any acid (weak or strong).

Amides : Very weak bases; generally neutral. But in strong acid conditions, amides can undergo acid hydrolysis: Hydrolysis depends on acid strength and conditions

Row 1: Ethanoic acid

Amines: Reacts → forms ethylammonium ethanoate (a salt)

Amides: Does not hydrolyse (too weak acid)

Row 1 is correct

Row 2: Nitrous acid (HNO₂)

Amines: Reacts — especially primary amines, undergo diazotisation

Amides: Can react, although weakly. Nitrous acid can nitrosate or hydrolyse some amides under certain conditions.

Row 3: Sulphuric acid

Amines: Statement says "does not react" --- incorrect; H₂SO₄ is strong, it does react with amines.

Amides: Hydrolyses — correct.

Row 3 is incorrect.

Which one of the following is NOT the correct formula for a lithium compound?

  • ALi2S
  • BLiCO3
  • CCH3CO2Li
  • DLiHSO4
  • ELi3N
Correct answer: B LiCO3

Full explanation

LiCO3 (Lithium carbonate)

Carbonate ion is CO₃²⁻, so needs 2 Li⁺

Correct formula is Li₂CO₃.

LiCO₃ is incorrect.

Physics & Mathematics

Mechanics, electricity, thermodynamics, algebra & geometry · 11 questions
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What is the set of values of x for which x² < 9 and 2x + 3 ≥ 5 ?

  • Ax > 3
  • Bx ≥ −1
  • C1 ≤ x < 3
  • Dx < −3 or x ≥ 1
  • Ex > −3
Correct answer: C 1 ≤ x < 3

Full explanation

Solve the first inequality: x² < 9 ⇒ −3 < x < 3.

Solve the second inequality: 2x + 3 ≥ 5 ⇒ 2x ≥ 2 ⇒ x ≥ 1.

We need the overlap (intersection) of both solutions: −3 < x < 3 and x ≥ 1 together give 1 ≤ x < 3.

Therefore, the correct answer is C.

A block of iron at 100°C is transferred to a plastic cup containing water at 20°C. Which one of the following is not necessary in order to find the specific heat capacity of iron?

  • AThe specific heat capacity of water.
  • BThe mass of the block of iron.
  • CThe thermal conductivity of the iron.
  • DThe final temperature.
  • EThe mass of water.
Correct answer: C The thermal conductivity of the iron.

Full explanation

The thermal conductivity of the iron only affects how fast heat transfers between the block and the water, not the total amount of energy exchanged, so it is not needed to calculate specific heat capacity.

By the law of calorimetry, heat lost by the iron equals heat gained by the water: mici(100 − T) = mwcw(T − 20), so ci = mwcw(T − 20) / [mi(100 − T)].

This equation needs the mass and specific heat capacity of water, the mass of the iron, and the final temperature T — every variable listed except the thermal conductivity of iron.

Therefore, the correct answer is C.

At the melting point, which of the following are correct about paraffin wax?
1. The substance becomes more disordered.
2. The wax takes in heat but its temperature stays the same.
3. Bonds between the carbon and hydrogen atoms are broken.

  • A1, 2 and 3
  • B2 and 3 only
  • C2 only
  • D1 and 3 only
  • E1 and 2 only
Correct answer: E 1 and 2 only

Full explanation

Statement 1: true. Melting from solid to liquid increases disorder, so entropy increases.

Statement 2: true. During a phase change, absorbed heat (latent heat) overcomes the intermolecular forces holding the solid together rather than raising the temperature, so the temperature stays constant while melting.

Statement 3: false. Melting breaks the intermolecular (van der Waals) forces between wax molecules, not the covalent C–H bonds within each molecule.

Therefore, the correct answer is E.

When cooled below 4.2 K, mercury becomes a superconductor, which means it has no electrical resistance. When a current is passed through mercury under these conditions, which of the following effects will be present?
1. thermal
2. chemical
3. magnetic

  • A1 and 3 only
  • B1, 2 and 3
  • C2 only
  • D3 only
  • E1 only
Correct answer: D 3 only

Full explanation

Thermal: with zero resistance, joule heating (I²R) cannot occur, so no thermal effect is produced — false.

Chemical: a current only drives chemical reactions in contexts like electrolysis, which doesn't apply here — false.

Magnetic: superconductors carrying current still produce a magnetic field, and superconductors additionally show the Meissner effect (expelling external magnetic fields) — true.

So only the magnetic effect is present. Therefore, the correct answer is D.

Three identical capacitors, each of capacitance c, are connected in three different ways: (1) all three in series, (2) two in series with that combination in parallel with the third, (3) all three in parallel. Which of the following shows the order of increasing capacitance (smallest first)?

  • A3, 2, 1
  • B1, 3, 2
  • C2, 1, 3
  • D1, 2, 3
  • E2, 3, 1
Correct answer: D 1, 2, 3

Full explanation

Case 1 (all three in series): 1/ceq = 1/c + 1/c + 1/c = 3/c, so ceq = c/3.

Case 2 (two in series, that pair in parallel with the third): the series pair gives c/2, in parallel with the third capacitor gives ceq = c/2 + c = 3c/2.

Case 3 (all three in parallel): ceq = c + c + c = 3c.

Arranging in increasing order: c/3 < 3c/2 < 3c, i.e. case 1 < case 2 < case 3.

Therefore, the correct answer is D.

Which one of the following is not a vector?

  • Avelocity
  • Bweight
  • Celectric charge
  • Delectric field
  • Eacceleration
Correct answer: C electric charge

Full explanation

Velocity, weight, electric field and acceleration are all vector quantities — each has both magnitude and direction.

Electric charge is a scalar quantity: it has only magnitude (and sign), no direction.

Therefore, the correct answer is C.

Which of the following is equivalent to ln(x²y) − 2 ln(xy) + 3 ln y ?

  • A0
  • Bln x + ln y
  • C2 ln y
  • D2 ln x + 2 ln y
  • Eln x + 2 ln y
Correct answer: C 2 ln y

Full explanation

Rewrite each term using log rules (b·ln a = ln ab): 2 ln(xy) = ln(xy)² and 3 ln y = ln y³.

So the expression becomes ln(x²y) + ln y³ − ln(xy)².

Combine the additions (ln A + ln B = ln AB): ln(x²y · y³) − ln(xy)² = ln(x²y⁴) − ln(x²y²).

Combine the subtraction (ln A − ln B = ln(A/B)): ln[(x²y⁴)/(x²y²)] = ln(y²) = 2 ln y.

Therefore, the correct answer is C.

In a group of students, exactly 2/5 are male and exactly 1/3 study mathematics. The probability that a male student chosen at random studies mathematics is p. Which of the following is the range of possible values of p?

  • A1/3 ≤ p ≤ 1
  • B0 ≤ p ≤ 5/6
  • C1/3 ≤ p ≤ 2/5
  • D2/5 ≤ p ≤ 5/6
  • E0 ≤ p ≤ 1/3
Correct answer: B 0 ≤ p ≤ 5/6

Full explanation

p = P(male and studies maths) / P(male) = P(male and maths) / (2/5).

Let the total number of students be 1, and let x be the proportion who are both male and study maths. Then p = x / (2/5) = 5x/2, so x = 2p/5.

Since x (both male and studying maths) can't exceed either the male group (2/5) or the maths group (1/3), and 1/3 is the smaller of the two, x ≤ 1/3. Also x ≥ 0 (the overlap could be empty).

So 0 ≤ x ≤ 1/3. Substituting x = 2p/5: 0 ≤ 2p/5 ≤ 1/3, and multiplying through by 5/2 gives 0 ≤ p ≤ 5/6.

Therefore, the correct answer is B.

ABCDE is a regular pentagon. The transformation R is a rotation about the origin and maps A to B, B to C, C to D, etc. The transformation S is a reflection in the y-axis. Which of the following sequences of transformations (performed in the order listed) would not leave vertex D in the same position?

  • AR R S R S R
  • BS R
  • CS R R S R S
  • DR S R S
  • ER S R R
Correct answer: A R R S R S R

Full explanation

Tracking option A step by step starting from D: R takes D→E, R takes E→A, S reflects A across the y-axis (A sits on the y-axis so it stays at A), R takes A→B, S reflects B→E, R takes E→A. The final position is A, not D — so this sequence does not return D to its start, making it the correct answer.

Checking the others confirms each does return to D: option B (S then R) sends D→C→D. Option C (S R R S R S) sends D→C→D→E→B→C→D. Option D (R S R S) sends D→E→B→C→D. Option E (R S R R) sends D→E→B→C→D.

Therefore, the correct answer is A.

The line L has equation y = 2x − 1. Four of the following five points are the same distance from the line L. Which one is at a different distance?

  • A(1, −1)
  • B(1, 3)
  • C(4, 9)
  • D(6, 9)
  • E(5, 13)
Correct answer: E (5, 13)

Full explanation

Rewrite the line in the form Ax + By + C = 0: L: 2x − y − 1 = 0. The distance from a point (x₀, y₀) to this line is d = |2x₀ − y₀ − 1| / √5.

Point A (1, −1): d = |2 + 1 − 1| / √5 = 2/√5.

Point B (1, 3): d = |2 − 3 − 1| / √5 = 2/√5.

Point C (4, 9): d = |8 − 9 − 1| / √5 = 2/√5.

Point D (6, 9): d = |12 − 9 − 1| / √5 = 2/√5.

Point E (5, 13): d = |10 − 13 − 1| / √5 = 4/√5 — different from the rest.

Therefore, the correct answer is E.

A man of mass 75 kg lies on a bed of 10,000 nails. The tip of each nail has an area of 1.0 square millimetre. [g = 10 N/kg] What pressure does the man experience?

  • A7.5 × 10⁶ Pa
  • B7.5 × 10⁴ Pa
  • C7.5 × 10³ Pa
  • D7.5 × 10⁷ Pa
  • E7.5 × 10⁵ Pa
Correct answer: B 7.5 × 10⁴ Pa

Full explanation

Pressure is force per unit area. The force exerted by the man is his weight: W = 75 kg × 10 N/kg = 750 N.

Each nail tip has area 1.0 mm², and there are 10,000 nails, so the total contact area is 10,000 × 1 mm² = 10,000 mm².

Converting to square metres (1 mm² = 10⁻⁶ m²): 10,000 mm² = 10,000 × 10⁻⁶ m² = 10⁻² m².

Pressure = Force / Area = 750 N / 10⁻² m² = 75,000 Pa = 7.5 × 10⁴ Pa.

Therefore, the correct answer is B.

Frequently Asked Questions

Right here — every question from the IMAT 2012 exam (General Knowledge, Logical Reasoning, Biology, Chemistry, Physics and Mathematics) is solved and explained on this page, for free, with no sign-up required.

Yes. Every calculation, chemical and biological fact was independently re-derived and checked by the LOCOMOTIVE academic team before publishing.

The IMAT is a single 100-minute test made up of General Knowledge & Logical Reasoning, Biology, Chemistry, Physics & Mathematics questions. Correct answers score +1.5, unanswered questions score 0, and incorrect answers score −0.4 (the exact weighting has varied slightly by year — always check the official rules for the year you are sitting).

The overall syllabus (General Knowledge, Logical Reasoning, Biology, Chemistry, Physics & Maths) has stayed broadly the same, but the exact number of questions, section weighting and question style have changed over the years — this 2012 paper is a great way to build core knowledge, but always pair it with recent past papers to get used to the current format.

Yes — the underlying subject knowledge and reasoning skills are directly transferable, which makes older papers like this one useful extra practice once you've worked through the most recent papers.

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IMAT 2012 · Worked Solution

IMAT 2012 Worked Solution

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General Knowledge & Logical Reasoning

Current affairs, history, culture, logical and critical-thinking problems · 40 questions
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Many people argue that the many government programmes intended to increase road safety have caused a steady decline in the number of accidents on our roads. However, some observers report that the real number of accidents may be much higher than is shown in the official records as many accidents are not reported by drivers. They also say that during the time when accident figures have decreased, the number of people going to hospitals because of road accidents has stayed constant.

Which one of the following can be drawn as a conclusion from the above passage?

  • ARoad safety has improved greatly in recent years.
  • BDrivers should be required to report all accidents that occur on the road.
  • CPositive views about continually improving road safety may not be supported by what actually happens.
  • DGovernment programmes have been unsuccessful in reducing the number of accidents.
  • EHospital admissions are a good way of measuring changes in the number of accidents on our roads.
Correct answer: C Positive views about continually improving road safety may not be supported by what actually happens.

Full explanation

The passage discusses a decline in reported accidents, attributed to government programmes. But some observers argue that many accidents go unreported. Hospital admissions due to road accidents have not declined, suggesting the true accident rate may be unchanged. This undermines the optimistic assumption that road safety has improved simply based on official accident records.

Analysis of the given options

Option A : Not supported; this is what is being questioned.

Option B : This is a suggestion, not a conclusion based on the information given.

Option C : This best reflects the contrast between official data and alternative evidence, like hospital records.

Option D : Too strong; the passage doesn't claim complete failure, only that the data might be misleading.

Option E : Possibly implied, but not the main conclusion.

In 2010 there were over 110,000 incidents of arson (deliberately setting fire to buildings) in the UK in which over 100 people were killed, usually in attacks on people's homes. Only a small percentage of homes have smoke alarms. If more homes had smoke alarms, the number of domestic fires would be significantly reduced. There should be a campaign to persuade people to install smoke alarms in their home as this would reduce the number of deaths.

Which one of the following identifies the flaw in the above argument?

  • AIt assumes that having smoke alarms will prevent fires.
  • BIt assumes that all deaths in fires are from arson attacks.
  • CIt overlooks the fact that smoke alarms may not work.
  • DIt assumes that people will be willing to install smoke alarms.
  • EIt assumes that all arson attacks are on people's homes.
Correct answer: A It assumes that having smoke alarms will prevent fires.

Full explanation

The argument's flaw is in confusing prevention with detection. Smoke alarms do not prevent fires---they detect smoke and warn occupants, giving them time to escape.

Analysis of the given options

Option A : This is the main flaw of the argument.

Option B : The argument does focus on arson, but it doesn't claim that all deaths come from arson.

Option C : Possible concern, but not the central flaw. The argument assumes smoke alarms do work, which is reasonable unless there's reason to doubt it.

Option D : The argument proposes a campaign to persuade people --- it acknowledges the need to change behavior.

Option E : The argument clearly states arson often involves homes but doesn't claim it's always the case.

Nicotine chewing gum is already available in chemists. Nicotine is an addictive drug, but by itself it causes little, if any, harm. Unlike other addictive substances it does not reduce the brain's performance, make people lazy, anti-social, or have more accidents. But until recently nicotine has been taken only in the form of tobacco, which also contains cancer-causing chemicals and deadly gases that kill one third of the people who smoke it. The chewing gum does not contain these chemicals, and is not dangerous in any other way.

Which one of the following is a conclusion which can be drawn from the above passage?

  • ANicotine chewing gum should be banned as it is addictive.
  • BNicotine chewing gum is a relatively safe alternative to tobacco for those addicted to nicotine.
  • CTobacco smokers can get rid of their addiction by chewing nicotine gum.
  • DNicotine chewing gum will make nicotine addiction more common by removing some of its risks.
  • ETobacco companies should put money into the manufacture and marketing of nicotine chewing gum.
Correct answer: B Nicotine chewing gum is a relatively safe alternative to tobacco for those addicted to nicotine.

Full explanation

The passage outlines that Nicotine itself is addictive, but causes little direct harm. Tobacco is harmful because of other chemicals in it. Nicotine gum delivers nicotine without those harmful substances and is described as "not dangerous in any other way."

Analysis of the given options

Option A : Contradicts the passage's tone, which highlights safety rather than danger.

Option B : Correct. This supports the conclusion that nicotine gum is a safer option for those addicted to nicotine.

Option C : Not stated. The passage does not claim it helps overcome addiction---only that it's a safer way to consume nicotine.

Option D : Speculative; not supported or implied by the passage.

Option E : Not discussed; the passage doesn't mention business strategies.

Television programmes that show young people in a school environment continue to feature highly in viewing schedules. Few of the programmes, however, give any emphasis on the time spent studying and the work required for academic success. Many of the actors used are far older than the characters they portray, suggesting attitudes, behaviour and appearances that are inaccurate and sometimes inappropriate. Broadcasters and producers should try to correct this.

Which one of the following must be assumed in the above argument?

  • AYoung people may feel that their social life is dull compared with that shown in television programmes.
  • BIt is often impractical to use young people in television programmes given the restrictions on how many hours they can work.
  • CIt is important to represent school life accurately.
  • DTelevision programmes about other areas such as the police are not accurate.
  • ESchool work and academic success are important to all students.
Correct answer: C It is important to represent school life accurately.

Full explanation

The passage criticises the use of older actors, which leads to inaccurate or inappropriate portrayals of students. It concludes that broadcasters and producers should try to correct this. For that conclusion to follow, the argument must assume that accuracy in representing school life matters --- otherwise, there's no reason to call for correction.

Analysis of the given options

Option A : Not mentioned or implied as a concern.

Option B : A potential reason for casting older actors, but not a necessary assumption of the argument.

Option C : Correct. This is the necessary assumption for conclusion to work.

Option D : Irrelevant. The passage is focused only on school-themed shows.

Option E : Too broad --- the argument doesn't claim this applies to all students.

The volume of water expands by 9% when it freezes.

If you want a block of ice 40 cm³, how much water would you need to put into a freezer?

  • A36.7 cm³
  • B38.2 cm³
  • C38.0 cm³
  • D40.0 cm³
  • E37.0 cm³
Correct answer: A 36.7 cm³

Full explanation

Let the volume of water be x cm³.

When it freezes : ice volume = x + 0.09x = 1.09x

We are told that the ice volume is 40 cm³, so:

1.09x = 40

Solve for x : x = (40)/(1.09) = 36.7

In a children's story there are three types of monster, Bongles, Crannies and Dervies. Some, but not all, Bongles are Crannies and all Crannies are Dervies.

Which one of the following is definitely NOT true?

  • ASome Dervies are both Bongles and Crannies.
  • BSome Dervies are neither Bongles nor Crannies.
  • CAll Crannies are either Bongles or Dervies or both.
  • DNo Dervies are Bongles.
  • ESome Bongles are Dervies.
Correct answer: D No Dervies are Bongles.

Full explanation

Given :

1. Some, but not all, Bongles are Crannies. → So there is an overlap between Bongles and Crannies, but not complete overlap.

2. All Crannies are Dervies. → Crannies ⊆ Dervies.

Analysis of the given options

Option A : True --- the Bongles that are Crannies are also Dervies.

Option B : Possible --- since not all Dervies are Crannies, and not all Crannies are Bongles.

Option C : True --- all Crannies are Dervies, so this statement is trivially true.

Option D : This cannot be true because some Bongles are Crannies, and All Crannies are Dervies. So, those Bongles that are Crannies are also Dervies. Hence, some Dervies are Bongles. So "No Dervies are Bongles" is definitely NOT true.

Option E : True --- Bongles that are Crannies are also Dervies.

Alice works until 5pm each day from Monday to Friday. On Friday she is planning to go to the cinema with friends. There is a local bus service which passes her workplace, home and cinema. Part of the bus timetable is shown in the table below. Alice plans to take the bus home, where she will get ready to go to the cinema and then she will catch the bus to get to the cinema. It will take Alice 45 minutes to get ready and she will also need 10 minutes when she reaches the cinema to buy her ticket before a film starts. Films start every 15 minutes starting from 6pm.

Work16:3917:0417:3918:0418:3919:0419:39
Home17:0817:3317:5818:3318:5819:3319:58
Cinema17:3317:5818:3318:5819:3319:5820:33

What is the earliest time that she can watch a film?

  • A18:15
  • B18:30
  • C18:45
  • D19:00
  • E19.15
Correct answer: E 19.15

Full explanation

Alice finishes work at 5:00 PM (17:00).

The next available bus after 17:00 is at 17:04.

She arrives home at 17:33.

Alice takes 45 minutes to get ready.

She will be ready by 18:18.

The next bus to the cinema from home after 18:18 is 18:33.

She arrives at the cinema at 18:58.

She needs 10 minutes to buy a ticket, meaning she is ready at 19:08.

Films start every 15 minutes from 6:00 PM (18:00).

The first available film she can watch is at 19:15.

Modern technology has given us the power to use renewable natural resources faster than they can be replaced. The decline of fish numbers provides one example of the way in which modern technology can rapidly use up a natural resource. Modern fishing ships equipped with fish detecting systems and huge nets can gather up vast quantities of fish quicker than the sea can renew them. Because high technology gives us such harmful powers, we must learn to use the renewable resources of the earth carefully, rather than waste them.

Which one of the following best expresses the main conclusion of the above passage?

  • AModern technology simply takes from the environment and destroys its resources.
  • BFishing is now a serious threat to the world's environment and should cease.
  • CFish need to be carefully protected to prevent them from being destroyed.
  • DMost people are unaware of the damaging effects of modern technology.
  • EHumans must preserve renewable resources by learning how to use them carefully.
Correct answer: E Humans must preserve renewable resources by learning how to use them carefully.

Full explanation

The passage starts by saying modern technology allows us to use up renewable resources faster than they can be replaced. Then, give the example of fishing using high-tech equipment. Ends with the statement " we must learn to use the renewable resources of the earth carefully, rather than waste them." This is a clear conclusion, and the rest of the passage supports this point.

Analysis of the given options

Option A : Too extreme and simplistic --- the passage criticizes misuse, but not all use.

Option B : Not stated --- fishing is used as an example, but banning it isn't suggested.

Option C : Narrow --- this is a supporting point, not the main conclusion.

Option D : Not mentioned at all --- the passage doesn't discuss public awareness.

Option E : This correctly describes the main conclusion of the passage.

Shower gel is now used much more than soap when people take a shower. This is unfortunate. Shower gel requires much more packaging which means more rubbish. There is also a tendency for people to use more of it when washing in comparison with soap. Therefore more natural resources are consumed in the manufacturing process than would be if people used only soap. So, the trend towards shower gel is bad for the environment. This is because it creates more problems of waste disposal and uses up more resources than soap. We should make people more aware of the environmental impact of such simple decisions.

Which one of the following is an expression of the main conclusion of the above argument?

  • AThe increased popularity of shower gel is bad for the environment.
  • BIt is unfortunate that shower gel has become more popular than soap.
  • CPeople should be made more aware of the environmental consequences of choosing shower gel.
  • DThe use of shower gel increases the problems of waste disposal.
  • EThe manufacture of shower gel is more wasteful of natural resources.
Correct answer: C People should be made more aware of the environmental consequences of choosing shower gel.

Full explanation

The passage explains that shower gel creates more rubbish (packaging). People use more of it, leading to higher consumption of natural resources. Then, state "We should make people more aware of the environmental impact of such simple decisions." This is the author's key point, with all other details serving as reasons supporting it.

Analysis of the given options

Option A : this is a supporting point, not the main conclusion.

Option B : Supporting opinion, not the core argument.

Option C : This matches the final conclusion sentence of the passage.

Option D : A supporting point, not the overall argument.

Option E : Another supporting premise.

Ten years ago in many European cities, offices typically had spaces for six bicycles, half of which were never used and spaces for 50 cars which were always full. Today, there are fewer car spaces and many more spaces for bicycles which are always full. This change to cycling may seem strange to some as cycling is more effort. Possible causes are rising fuel prices, the introduction of higher parking charges for drivers in major cities, increasing awareness of environmental issues, expensive public transport and traffic jams.

Which one of the following can be drawn as a conclusion from the above passage?

  • AUsing a bicycle is now the most popular way of travelling to work.
  • BTravellers are now much more environmentally aware than they were 10 years ago.
  • CPeople will not cycle to work unless employers provide more cycle spaces on site.
  • DTravellers are now less happy to pay the costs of car use than they were ten years ago.
  • EMore people cycle to work now than 10 years ago.
Correct answer: E More people cycle to work now than 10 years ago.

Full explanation

Given — 10 years ago : 6 bike spaces, half unused → \~3 bikes

50 car spaces, always full → \~50 cars

Today : Fewer car spaces, many more bike spaces, all bike spaces are always full

Several suggested reasons are given for the shift.

The main factual comparison is that then, there were very few bike users and now, many more bike users.

Analysis of the given options

Option A : Not supported --- the passage doesn't compare bikes to all other modes (e.g., walking, buses).

Option B : Environmental awareness is mentioned as a possible reason, not a proven conclusion.

Option C : Not supported --- no claim about cause-effect between space availability and cycling decisions.

Option D : Suggested, but still speculative --- not a directly supported conclusion.

Option E : This directly supports the conclusion and the main factual comparison.

I wish to repaint the walls of my garage. It is 3 metres high, 4 metres wide and 9 metres deep. I shall not need to paint the electronic door which covers one 3 x 4 metre end, nor the window, which is 2 metres wide and 1 metre high, nor the rear door which is 1 metre wide and 2 metres high. 1 litre of paint covers 3 square metres.

How many 1 litre tins will be needed to complete the painting?

  • A26
  • B22
  • C25
  • D18
  • E21
Correct answer: E 21

Full explanation

Garage dimensions:

Height h=3 m Width w=4 m Depth d=9 m

Areas not to be painted: Electronic door on one end: 3×4=12 m² Window: 2×1=2 m² Rear door: 1×2=2 m²

Paint coverage: 1 litre covers 3 m²

the total surface area of walls to be painted = A of 2 long walls + A of two end walls

= (27 x 2) + (12 x 2)

= 54 + 24 = 78 m²

the areas that won't be painted = A of electronic door + window + rear door

= 12 + 2 + 2 = 16 m²

Total paintable area = 78 - 16 = 63 m²

Amount of paint needed = (62)/(3) = 20.67 liters

Since you cannot buy a fraction of a tin, round up to 21 tins.

Approximately 1 in 14 men over the age of 50 has prostate cancer. The level of 'prostate specific antigen' (PSA) is used as a preliminary screening test for prostate cancer.

7% of men with prostate cancer do not have a high level of PSA. These results are known as 'false negatives'.

75% of those men with a high level of PSA do not have cancer. These results are known as 'false positives'.

If a man over 50 has a normal level of PSA, what are the chances that he has prostate cancer?

  • A7%
  • B25%
  • C5%
  • D0.7%
  • E0.5%
Correct answer: D 0.7%

Full explanation

Question : the probability that a man with a normal PSA actually has cancer. So, we will calculate this by dividing the number of cancer patients with normal PSA by the total number of patients with normal PSA.

First, we will find the total number of patients with normal PSA.

Assume a group of 1400 Men,

- Since 1 in 14 men have prostate cancer, in 1400 men, there would be:

(1400)/(14) = 100 men with cancer

Men without cancer :

1400 - 100 = 1300 men without cancer

- False Negatives: We're told 7% of men with cancer have a normal PSA result.

7% of 100 = 7 men

So, 7 men with cancer show normal PSA.

- High PSA: The remaining men with cancer (those who correctly show high PSA) are:

100 - 7 = 93 men

What About the Men Without Cancer?

It is given that among all men with high PSA, only 25% actually have cancer. In other words, if you see a high PSA, the chance that the cancer patient is among these is 25%.

- Let X be the total number of men with high PSA.

- We already have the number of cancer patients in the high PSA group: 93 men.

- Since these 93 represent 25% of all with high PSA,

0.25 × X = 93

X = (93)/(0.25) = 372

So, 372 men have high PSA overall.

Out of these 372, the number of non-cancer men (false positives) is:

372−93 = 279 men.

Now, note that there were 1300 men without cancer. Of these, 279 have high PSA. Therefore, the rest must have normal PSA:

Men without cancer with normal PSA = 1300 - 279 = 1021 men

The normal PSA result can come from:

- The false negatives (men with cancer who have normal PSA): 7 men, and

- The true negatives (men without cancer with normal PSA): 1021 men.

Thus, total with normal PSA = 7 + 1021 = 1028 men

The number of cancer patients with normal PSA is 7 as calculated above.

Therefore, probability that a man with a normal PSA actually has cancer is :

P(cancer\|normal PSA) = (Number of cancer patients with normal PSA)/(Total number with normal PSA) = (7)/(1028) = nearly 0.007 = 0.7%

The National Farmer's Union (NFU) approves of controlled killing of badgers to reduce their numbers, saying that it is needed to help farming. Badgers are animals believed to be responsible for the spread of bovine tuberculosis which results in large numbers of cows having to be destroyed every year. Animal rights supporters have criticised the proposal, but it is clear that the lives of more cattle can be saved by destroying a smaller number of badgers. This controlled killing should be allowed to go ahead.

Which one of the following is the best statement of the flaw in the above argument?

  • AIt attacks the animal rights supporters rather than their argument.
  • BIt assumes that the animal rights supporters believe that animals that are living freely have a greater right to life than those that are being bred on farms.
  • CIt assumes that the animal rights supporters believe that badgers have a greater right to life than cows.
  • DIt assumes that the arguments from the animal rights supporters are about the number of deaths.
  • EIt assumes that animal rights supporters always disagree with the NFU.
Correct answer: D It assumes that the arguments from the animal rights supporters are about the number of deaths.

Full explanation

The argument says "Animal rights supporters have criticised the proposal, but it is clear that more cattle lives can be saved by killing fewer badgers." Therefore, killing badgers should be allowed.

Flaw : This assumes the animal rights supporters' objection is based solely on comparing the number of deaths (i.e., fewer badgers killed vs. more cows saved). But their objections may be based on principles other than the number of deaths---such as the ethics of killing badgers at all, rights of animals, or alternative methods.

Analysis of the given options

Option A : The argument doesn't attack them personally; it just dismisses their criticism.

Option B : Not clearly assumed or discussed.

Option C : The argument doesn't make this comparison.

Option D : Correct. The argument's main flaw is assuming the critics object only based on numbers of deaths, ignoring possible ethical or other objections.

Option E : No such assumption is made.

Global warming is threatening the survival of California's redwoods. These trees benefit from coastal fog which is captured by the trees, causing water to drip onto the soil and therefore watering them. Since fog is now 30 percent less frequent than it was 50 years ago the trees will not have this source of water and are therefore likely to begin to die out.

Which one of the following must be assumed in the above argument?

  • AGlobal warming is to blame for the reduction in coastal fog.
  • BThe levels of fog will continue to decline.
  • COther trees will not be able to thrive in these conditions.
  • DRedwoods in other areas of the world are being similarly affected.
  • ERainfall has also reduced over the past 50 years.
Correct answer: A Global warming is to blame for the reduction in coastal fog.

Full explanation

The argument specifies that redwoods rely on coastal fog to get water. Fog has decreased by 30% in the last 50 years. So, redwoods are likely to die out. Conclusion mentioned is that global warming is threatening the survival of redwoods. If something else were causing the fog decline, then global warming wouldn't necessarily be threatening the redwoods. So, the argument falls apart unless we assume :

Global warming is to blame for the reduction in coastal fog. (Option A)

Analysis of other options

Option B : Not needed; the argument is based on past loss, not future trends.

Option C : Irrelevant.

Option D : Also irrelevant --- the argument is specific to California's redwoods.

Option E : Nice to know, but not essential to blame global warming.

One of the fastest growing beauty treatments in Britain, fish pedicures – where tiny toothless fish called garra rufa smooth feet by eating dead skin – has come under scrutiny from animal rights campaigners. One campaigner said, 'Fish are covered by the Animal Welfare Act. They need a stable environment and clean water, uncontaminated by perfume or lotions.' A spa in London's West End was closed recently by the local council when many of the fish in its pedicure pool died. There should be a complete ban on this type of pedicure, or else there will soon be no garra rufa.

Which one of the following is the best statement of the flaw in the above argument?

  • ABeauty spas which offer fish pedicures are not especially numerous at present.
  • BIt would be less harmful if people washed their feet before using the spa.
  • CFish in the wild are likely to die if their environment changes.
  • DThe death of the fish in the London spa may not be a typical occurrence.
  • EThe public does not immediately associate fish with the Animal Welfare Act.
Correct answer: D The death of the fish in the London spa may not be a typical occurrence.

Full explanation

Conclusion of the argument --- "There should be a complete ban on fish pedicures, or there will soon be no garra rufa." That's a strong claim --- suggesting that all garra rufa are at risk of extinction due to fish pedicures. But this conclusion is based on one incident --- a spa in London where fish died. The argument generalizes from a single example without evidence that it's widespread or typical.

So, the best flaw is "The death of the fish in the London spa may not be a typical occurrence." which is option D.

Analysis of other options

Option A : Even if true, it doesn't directly address the logical flaw.

Option B : A suggestion, not a flaw in reasoning.

Option C : Irrelevant --- this is about spa fish, not wild ones.

Option E : Not the flaw in the argument's logic.

The 100W light bulb (cost €0.60) is not going to be used anymore and is being replaced with the 20W (cost €3) low energy light bulb.

If electricity is charged at €0.15 per kWh, for how many hours must the low energy bulb be used in order for the lower cost of running it to exactly compensate for its higher initial cost?

  • A0.25
  • B250.00
  • C200.00
  • D160.00
  • E720.00
Correct answer: C 200.00

Full explanation

Power difference in electricity usage = 100 W - 20W = 80W (0.08kW) saved per hour.

Savings per hour = 0.08 kWh x €0.15 = €0.012

Extra initial cost for new bulb = €3.00 - €0.60 = €2.40

We want to find how many hours of use are needed to save €2.40

Time = (2.40)/(0.012) = 200 hours

Three months ago, Jane had 5 times as many DVDs as Duncan. Since then they have both bought 12 more DVDs. Jane now has twice as many as Duncan.

How many DVDs does Jane have now?

  • A72
  • B32
  • C52
  • D62
  • E42
Correct answer: B 32

Full explanation

Let it be that : 3 months ago, Duncan had "x" DVDs.

So, Jane had 5x DVDs.

In the last 3 months, both bought 12 DVDs:

Duncan now has : x+12

Jane now has : 5x + 12

We're told that Jane now has twice as many DVDS as Duncan.

So, 5x + 12 = 2(x+12)

5x + 12 = 2x + 24

5x - 2x = 24 - 12

3x = 12

x = 4

Jane = 5x + 12 = 5(4)+12 = 20 + 12 = 32 DVDs.

In preparation for my holiday in Bolandia last June, I changed €300 into Bolandian dollars every pay day from January to May (I am paid monthly).

The exchange rates were as follows:

JanuaryFebruaryMarchAprilMay
€1=$2.74$2.79$2.76$2.83$2.81

How many more Bolandian dollars would I have received altogether if, instead, I had changed the whole €1500 in May?

  • A36
  • B48
  • C66
  • D180
  • E105
Correct answer: A 36

Full explanation

Bolandian dollar changed monthly

- January : €300 × 2.74 = $822.00

- February : €300 × 2.79 = $837.00

- March : €300 × 2.76 = $828.00

- April : €300 × 2.83 = $849.00

- May : €300 × 2.81 = $843.00

Total = 822 + 837 + 828 + 849 + 843 = $4,179.00

the amount if €1500 was exchanged all at once in May = €1500 × \2.81 = \4,215.00

Difference = \4,215.00 − \4,179.00 = $36.00

Rating figures for music are now much more difficult to calculate compared to a decade ago. The introduction of new formats for selling music means that figures have to be calculated based on more methods such as downloads, in addition to the sales of CDs in shops. Additionally, the availability of more formats means that there is more potential for copies of works to be shared with other fans, who do not pay for them. These fans do not show up in the ratings, so the official ratings do not reflect the relative popularity of a work.

Which one of the following, if true, would most strengthen the above argument?

  • AThe calculation of ratings based on downloads and sales together is not difficult.
  • BSharing copies of purchased works with others is against the law.
  • CArtists are not interested in the popularity of their work, just the sales figures.
  • DThe sharing of works with other fans is more widespread for certain types of music.
  • EOfficial ratings have never reflected popularity very well.
Correct answer: D The sharing of works with other fans is more widespread for certain types of music.

Full explanation

The argument concludes that official ratings do not reflect the relative popularity of a work, mainly because:

There are more music formats now (CDs, downloads, etc.).

These formats make sharing without payment easier.

Shared copies aren't counted in official ratings.

To strengthen this argument, we need a statement that supports the idea that popularity is underrepresented due to sharing.

Analysis of the given options

Option A : Weakens the argument slightly, or at least challenges the idea that new methods make things harder.

Option B : Irrelevant. The legality of sharing does not affect whether it happens or how it impacts popularity ratings.

Option C : Irrelevant. The argument is about the accuracy of popularity ratings, not what artists care about.

Option D : Strengthens. This shows that untracked popularity (via sharing) is significant, especially in certain genres, which supports the idea that official ratings don't reflect true popularity.

Option E : Neutral. This would undermine the argument if it's meant to show the issue isn't new --- i.e., it's not worse now than before.

It has been argued that since there has to be some limit on the funding of university education by governments, it would be best to target such funding, giving a lower priority to subjects which provide little benefit to society. Some subjects, such as Medicine, Engineering and Computing should be well funded, because they are clearly of great worth to the community. Subjects such as Classics, Literature and Art should be funded at a much lower level. These subjects are primarily of interest to the individual, and a wealthy society should give some subsidy to hobby subjects. However, it must be recognised that the future of society lies in the training and development of those people who will contribute the most.

Which one of the following must be assumed in the above argument?

  • ASubjects which are of interest to individuals can also provide benefit to society.
  • BThe training of those people who will contribute most to society requires an increase in government funding in university education.
  • CMedicine, Engineering and Computing are not very interesting subjects to study.
  • DA wealthy society should not subsidise subjects which are of interest only to individuals.
  • EThe study at universities of Classics, Literature and Art provides little benefit to society.
Correct answer: E The study at universities of Classics, Literature and Art provides little benefit to society.

Full explanation

The argument argues that government funding for university education should be limited and targeted. Funding should focus on training people who contribute most to society. And high priority subjects and low priority subjects are mentioned.

Analysis of the given options

Option A : This challenges the argument and this is not assumed. it weakens the distinction made between personal interest and societal benefit.

Option B : Not assumed. The argument is about redistributing funding, not necessarily increasing it.

Option C : Irrelevant and contradicts the tone of the passage. Interest is not the focus.

Option D : The passage allows some subsidy, so this is too strong and not assumed.

Option E : This is the key assumption. If these subjects did benefit society significantly, the argument for cutting their funding would fall apart.

Roughly 60 percent of today's world population is bilingual or multilingual and it is argued that this is a new phenomenon. Today Spanish and Arabic are widely spoken whilst English is the world's most commonly spoken and written language. However, 500 years ago it was Latin which was the main language of education, religion, commerce and government in the Western World despite this not being most people's first language. In the 17th century, French and Italian gained in importance as languages of international trade.

Which one of the following can be drawn as a conclusion of the above passage?

  • AEnglish will one day be replaced as the main language of communication.
  • BSpeaking another language has always been an important practical consideration.
  • CThe majority of bilingual or multilingual people speak English.
  • DThe number of bilingual or multilingual people in the world will continue to grow.
  • EEnglish is the most common world language today because of the spread of the internet.
Correct answer: B Speaking another language has always been an important practical consideration.

Full explanation

60% of today's world population is bilingual/multilingual. This is claimed to be a new phenomenon. But the history of the importance of several languages in various fields are mentioned.

Analysis of the given options

Option A : Not supported --- the passage gives historical examples, but does not predict the future.

Option B : This is a reasonable conclusion. The passage gives historical evidence of languages (Latin, French, Italian) being used widely for practical purposes beyond native languages, and relates it to modern bilingualism. This general truth is supported.

Option C : Not mentioned. The passage says English is most commonly spoken, but doesn't say bilingual people mostly speak it.

Option D : A prediction --- not supported by the text.

Option E : Not mentioned. The internet is not discussed at all.

Child actors tend to become addicted to drink and drugs in later life, usually when they become adults but are not as successful as they were previously. The actors frequently blame their parents, who often manage their children's career and so have a reason to work them hard when they are young and enjoy the wealth their children generate for them. The child actors who avoid this are often the ones who were encouraged to keep up their schooling and explore other career options.

Which one of the following can be drawn as a conclusion from the above passage?

  • AChild actors should have other interests that allow for other career opportunities.
  • BDrug abuse is common in the entertainment industry.
  • CYoung actors who continue to work live happy, healthy lives.
  • DParents should not be allowed to manage the careers of their children.
  • EThere are fewer jobs available for adult actors.
Correct answer: A Child actors should have other interests that allow for other career opportunities.

Full explanation

Analysis of the given options

Option A : This is directly supported by the final sentence --- those who were encouraged to explore other career options were less likely to fall into addiction. It logically follows from the text.

Option B : Too general. The passage discusses child actors specifically, not the whole entertainment industry.

Option C : Not supported. The passage doesn't say those who continue acting do well --- in fact, it suggests many struggle as adults.

Option D : This is a prescription (what should be done), and it's too strong. The passage says some parents are blamed, but it doesn't suggest banning them outright.

Option E : Not mentioned. The passage discusses less success as adults, but doesn't discuss job availability.

According to the Food Standards Agency, film goers should be told how many calories there are in the popcorn, ice cream and fizzy drinks that they buy in cinemas and smaller portions of popcorn and drinks should also be available. As two thirds of adults and a third of children are already obese or overweight, with serious risk of heart disease, diabetes and cancer, the need for proper labelling to warn people about the calorie content of these items is urgent.

Which one of the following, if true, most strengthens the argument in the passage above?

  • APeople who are overweight are sometimes more concerned with their looks than the long term health risks.
  • BA large box of salted popcorn contains as many calories as a three course meal.
  • CCinemas rely on sales of food and drink to boost their profits.
  • DTrials show that consumers alter their eating habits when food is calorie-labelled.
  • EMany people think that the food and drink consumed at the cinema is as important to the visit as the film.
Correct answer: D Trials show that consumers alter their eating habits when food is calorie-labelled.

Full explanation

The Food Standards Agency recommends:

- Calorie labelling on cinema snacks.

- Smaller portion sizes should be available.

Justification: Obesity is widespread and leads to serious health risks.

Therefore, urgent need for clear labelling to help consumers make better choices.

Analysis of the given options

Option A : Irrelevant. This focuses on motives for concern, not whether labelling works.

Option B : This adds shock value, but doesn't prove that labelling would help reduce consumption. Slightly supports the argument, but not strongly.

Option C : Weakens the argument slightly --- this explains why cinemas might resist the recommendation, but doesn't strengthen the case for labelling.

Option D : This directly strengthens the argument. If labelling leads to behavioral change, then the recommendation is effective and justified.

Option E : Suggests a barrier to change. This could even weaken the argument if people are unlikely to give up their snacks.

Tom shared out some money between his three children in the ratio 5:3:2. He later had an extra €6 which he gave to the child who received the least originally. This meant that the money had been shared into one large and two equal smaller shares.

How much money in total did Tom give to the three children?

  • A€36
  • B€26
  • C€60
  • D€20
  • E€66
Correct answer: E €66

Full explanation

Let the original total amount of money be x euros. The ratio of shares is 5 : 3 : 2, so the total number of parts is:

5+3+2=10 parts

Each part is worth (x)/(10)

So, the children originally received :

- Child A (5 parts) : (5x)/(10 ) = (x)/(2)

- Child B (3 parts) : (3x)/(10)

- Child C (2 parts + extra 6) : (x)/(5) + 6

We're told that two of the children now have equal smaller shares, and one has a larger share.

So, (3x)/(10) = (x)/(5) + 6

3x = 2x + 60

x = 60

Tom originally gave €60 and later added €6, so the total is: 60+6 = 66

One radioactive substance, P, is gradually changed by radioactive decay into another, Q. Q itself decays into a third substance, R, which does not decay. The graphs below show how the quantities of P, Q and R varied with time during an experiment.