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IMAT 2016 · Answers & Worked Solution

IMAT 2016 Answers & Worked Solution

All 60 answers, 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 · 22 questions
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This is part of the tiled floor of the magic shop Spell It Out.

IMAT 2016 question 1 figure

Five different types of tile make up the design. How many of the tiles have the following pattern?

IMAT 2016 question 1 figure
  • A18
  • B19
  • C17
  • D21
  • E20
Correct answer: C 17

Full explanation

IMAT 2016 question 1 the pattern in its four rotated positions
If the given pattern is rotated by 90°, 180° and 270°, it can be used in 4 different orientations.

IMAT 2016 question 1 figure

Searching the full tiled design for every corner that matches one of these 4 orientations (a right-angle step where a smaller square notch meets a larger square) gives 17 matching corners in total.

Therefore, the correct answer is C: 17.

Summary to learn

A shape’s rotational symmetry describes how many distinct positions it occupies as it turns through a full circle. Rotating a shape by 90°, 180° and 270° generally produces three more orientations distinct from the original — four in total — unless the shape has some symmetry of its own that makes two of those turns look identical. Counting how many times a shape appears inside a larger pattern means counting matches in every one of these orientations, not only the orientation it happens to be drawn in.

A factory has received an order for a product. It takes 9 operations to manufacture it. These may take place in any order and at any time in the manufacturing process but an individual worker stays with one operation from its beginning to its end. The number of hours for one worker to complete each operation is as follows:

OperationABCDEFGHI
Duration in hours123891026410
All workers are able to complete all operations, but can only do one at a time. The product has to be ready in 16 hours.

What is the minimum number of workers required to manufacture the product in the given time?

  • A6
  • B4
  • C9
  • D1
  • E5
Correct answer: E 5

Full explanation

It is given that 9 operations can take place in any order, at any time. And the product has to be ready in 16 hours. So, first we will try to pick the operations that take 16 hours in total. Operation A and H: 16 hours in total — 1 worker.

Operation E and G: 16 hours in total — 1 worker.

Operation I and B: 13 hours in total — 1 worker.

Operation D and F: 11 hours in total — 1 worker.

Operation C: 8 hours — 1 worker. Thus, the minimum number of workers required to manufacture the product in the given time is 5.

Summary to learn

This is a scheduling problem: a set of tasks, each with its own duration, must all be finished by one common deadline using as few workers or machines as possible. The minimum number needed equals the minimum number of non-overlapping “chains” — sequences of tasks stacked back-to-back — that the whole task list can be split into, where every chain’s total duration still fits inside the deadline. This is a simple case of interval scheduling, a standard topic in combinatorics and operations research.

Below is a picture of a biscuit tin with four identical sides. A set of these tins is to be made that are all distinguishable from each other by colour alone. The manufacturer will paint each of the four sides either red or blue. The top and bottom are not painted.

IMAT 2016 question 3 figure
What is the greatest number of different tins that can be made?

  • A6
  • B7
  • C8
  • D4
  • E5
Correct answer: A 6

Full explanation

The four painted sides sit in a ring around the tin, and you’re free to spin the tin on the spot before comparing it with another one. Spinning doesn’t repaint anything, it just changes your viewpoint – so two colour patterns that are rotations of each other are the same tin, not two different ones. That’s the idea the whole question turns on.

If we ignored that and just coloured 4 sides with 2 colours freely, we’d get 2⁴ = 16 raw patterns. Most of those are rotations of each other, so group them by how many red sides they have and count how many genuinely different-looking tins survive in each group.

0 red (all blue): only BBBB – spin it however you like, it never becomes anything else. 1 tin.

4 red (all red): only RRRR, by the same logic. 1 tin.

1 red, 3 blue: it doesn’t matter which of the four sides is the red one, because you can always rotate the tin so that side faces you. All four positions collapse into 1 tin. The mirror case, 1 blue and 3 red, gives another 1 tin.

2 red, 2 blue: this is the one that trips people up, because there are two genuinely different arrangements here – the two red sides can sit next to each other (RRBB) or opposite each other (RBRB). No amount of spinning turns adjacent reds into opposite reds, so these are two separate tins, not one.

Adding up the distinct tins: 1 (all blue) + 1 (all red) + 1 (one red) + 1 (one blue) + 1 (reds adjacent) + 1 (reds opposite) = 6.

Therefore, the correct answer is A: 6.

Summary to learn

When a set of objects — such as different colourings of a shape — can be turned into one another by a symmetry operation like rotation, two colourings related by that symmetry aren’t truly different objects; they’re the same object seen from a different angle. Counting genuinely distinct colourings means grouping every rotationally-equivalent colouring together first and counting the groups, rather than counting each raw colour combination as if it were unique. This idea — counting arrangements up to symmetry — is a standard topic in combinatorics (a simplified version of what’s formally known as Burnside’s lemma).

In a slalom skiing competition skiers tackle the course one at a time. Each skier makes two runs. The times for the two runs are added and the fastest total time determines the winner. Competitors who fail to finish their first run are not allowed to make a second run.

In the second round, skiers compete in the reverse order of their positions after the first round.

Grace took part in a slalom competition last week. She was the eighth skier to make her first run. At the end of the first round she was in sixth position, so she had to wait for 17 of her rivals to make their second runs before it was her turn again. Three skiers had failed to complete the course in the first round.

How many competitors took part in last week’s slalom competition?

  • A26
  • B23
  • C34
  • D31
  • E28
Correct answer: A 26

Full explanation

In a skiing competition, competitors who fail to finish their first run are not allowed to make a second run. In the second round, skiers compete in the reverse order of their positions after the first round.

In the 1st round, Grace was the 8th skier. At the end of 1st round, She was in 6th position (2 failed).

In the 2nd round, she had to wait for 17 skiers (meaning she had at least 17 skiers behind her in the first round). It is given that a total of 3 skiers have failed the 1st round, and we’ve already known two, one of three must be from the skiers behind Grace on the first round. (So, total skiers behind Grace becomes 18)

So, total number of competitors = 7 + 1 (Grace) + 18 = 26

Summary to learn

Ranking and position problems often mix absolute information (“she finished 8th”) with relative information (“6th from the end”, “beaten by 17 people”). Converting a relative statement into an absolute count requires anchoring it to the same fixed reference point as the rest of the data — usually the total number of people involved — so that counts of people ahead, people behind, and the person themselves can all be added together consistently rather than compared as if they were already on the same scale.

In 1688 the Irish philosopher William Molyneux asked whether a blind person who regained their vision could recognise by sight an object they had previously only known by touch. Richard Held and Pawan Sinha of the Massachusetts Institute of Technology attempted to answer this question in an experiment with five children in India who had just had successful surgery which gave them their sight for the first time. Within 48 hours of the operation the children were asked to feel a toy block without looking at it. They were then shown two blocks, one of which they had touched. They identified the original block just over half of the time and this is only a little better than guesswork. Recognising touched objects by sight alone improved within days.

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

  • AUsing children in experiments such as the one described above is morally wrong.
  • BIdentifying an object by sight alone which had been touched but not seen previously is learned behaviour and not innate.
  • CIdentifying an object by sight alone which had been touched but not seen previously is innate behaviour and not learned.
  • DIdentifying an object by sight alone which had been touched but not seen previously is something which adults do better than children.
  • EIdentifying an object by sight alone which had been touched but not seen previously is something which children do better than adults.
Correct answer: B Identifying an object by sight alone which had been touched but not seen previously is learned behaviour and not innate.

Full explanation

Two facts anchor this passage: right after surgery, when sight was brand new, the children were barely beating a coin flip at matching a felt object to a seen one. Days later, they’d gotten measurably better. That improvement over time is the whole story here, and it points to one specific kind of conclusion.

Think about what “innate” would actually predict: if visual-touch matching were built in from birth, it would already be there the moment the children could see – no practice needed, no improvement over days. That’s exactly the opposite of what happened. The skill showed up weak and grew with experience, which is the signature of something learned, not something wired in from the start. That’s option B.

Option C claims the reverse – that this is innate – which the data flatly contradicts. Option A reads a moral judgement into a passage that’s just reporting an experiment; nothing here says whether testing children this way was right or wrong. And D and E both try to smuggle in a comparison to adults that was never made – the study only ever tested children, so there’s no basis to say children do this better or worse than adults.

Summary to learn

In behavioural biology, a trait is more likely to be learned than innate if performance starts out weak and improves with repeated practice or exposure — that pattern is the signature of experience shaping behaviour over time. An innate (instinctive) behaviour, by contrast, tends to appear at or near full competence from the very first attempt, since it doesn’t depend on learning to develop.

A delivery company opens its depot at 7:30 am. It uses large and small vans to make deliveries. The smaller vans take 10 minutes to load and then 1 hour to make the deliveries and return. The larger ones have a loading time of 30 minutes and return from deliveries after 2 hours. The driver of a large van starts loading at 8:00 am.

If the driver of a small van is to make the maximum number of deliveries he can, how much later than the driver of the large van can he start loading if they are both to arrive back at the depot for lunch at 1:00 pm?

  • A0 minutes
  • B20 minutes
  • C15 minutes
  • D5 minutes
  • E10 minutes
Correct answer: B 20 minutes

Full explanation

Both arrive at the depot at 1:00 pm.

Large van :

Starts loading at 8 am and returns at 1pm (total 5 hours) — takes 2 and half hours for 1 deli — so, the large van can do 2 delivery rounds in the morning.

Small van :

Takes 1 hour and 10 mins for 1 deli route — within 5 hours, a small van can do 4 rounds of deli maximally which takes 4 hours and 40 mins. So, to be back at 1pm, the small van can start loading 20 mins later than the large van at 8:20am.

Summary to learn

In deadline-based rate problems, each party’s own total time requirement (for example, loading time plus travel time) is calculated separately, and that total fixes the latest possible moment each one could start and still finish by the shared deadline. Comparing two parties’ required start times — not the raw difference in their travel or loading times alone — is what tells you how much earlier one had to begin than the other.

A bakery shop makes its own bread in batches to sell on site. Bakers always describe the quantities of other ingredients as a percentage of the weight of flour used. They will then use the percentages in the table below to calculate how much water, salt and fat are required. Today, the baker is planning to use 250 kg of flour to make White Bread.

The Baker’s Percentage
Bread TypeWater (%)Salt (%)Fat (%)
Neapolitan Pizza591.5None
Baguette602None
French Bread662None
Ciabatta8022.5
Focaccia8033
White Bread54217
Brioche222133
What is the total weight of the mixture to be made?

  • A323 kg
  • B432.5 kg
  • C250 kg
  • D182.5 kg
  • E420 kg
Correct answer: B 432.5 kg

Full explanation

Key given fact : the quantities of other ingredients as a percentage of the weight of flour used.

The baker is preparing to make a white bread with 250 kg of flour.

To make a white bread:

Water – content equal to 54% of flour amount = 250 × 0.54 = 135 kg.

Salt – content equal to 2% of flour amount = 250 × 0.02 = 5 kg.

Fat – content equal to 17% of flour amount = 250 × 0.17 = 42.5 kg.

Total weight of the mixture = 250 kg + 135 kg + 5 kg + 42.5 kg = 432.5 kg.

Summary to learn

When a mixture’s ingredients are given as percentages of one base ingredient, each percentage converts into an actual weight by multiplying it by the base ingredient’s own weight. The total weight of the finished mixture is the sum of every one of these converted ingredient weights, plus the base ingredient’s own weight counted once as well — the base isn’t just a reference point for the percentages, it’s a full component of the total.

My choice of sandwich will depend on its nutritional content as shown in the following table:

typeprice (£)energy (kJ)protein (g)fat (g)salt equiv (g)
beef2.001220223.41.3
chicken2.101327264.11.4
ham1.901164183.81.7
turkey2.201163202.51.5
salad1.5093183.31.7
tuna2.0015791914.31.7
I want to have at least 20 g of protein in my sandwich and no more than 4 g of fat.

Which is the smallest amount that I will pay for my sandwich?

  • A£2.20
  • B£2.00
  • C£1.50
  • D£2.10
  • E£1.90
Correct answer: B £2.00

Full explanation

Two conditions have to be satisfied together: protein of at least 20 g, and fat of no more than 4 g. A sandwich that fails either one is out, no matter how cheap it is. Go through the table row by row and check both boxes:

Beef – 22 g protein (passes), 3.4 g fat (passes). Qualifies, at £2.00.

Chicken – 26 g protein, the highest of any sandwich (passes), but 4.1 g fat just tips over the 4 g limit. Out, despite the great protein score.

Ham – 18 g protein, short of the 20 g minimum. Out on protein alone, regardless of its fat.

Turkey – 20 g protein (passes, right at the minimum), 2.5 g fat (passes). Qualifies, at £2.20.

Salad – 8 g protein, nowhere near enough. Out.

Tuna – 19 g protein, just 1 g short of the threshold, and 14.3 g fat besides. Out on both counts, even though it’s priced the same as beef.

Only beef and turkey clear both bars. Beef is the cheaper of the two, £2.00 against £2.20, so that’s the smallest amount she can spend and still meet her own rules.

Therefore, the correct answer is B: £2.00.

Summary to learn

When two conditions must both hold at once — for instance a minimum on one measure and a maximum on another — this is a logical conjunction (AND): an option only qualifies if it satisfies every condition simultaneously. Failing even a single condition eliminates an option outright, regardless of how strongly it performs on the others.

Few linguists would argue against the view that our first language is acquired and not learned. Preschool children do not study their native tongue nor do they learn grammar rules but, by the time they start school at the age of five or six, the vast majority are competent users of their language. Therefore, when learning a second or additional language, studying grammar is a waste of time and all that is required is exposure to the target language in order to acquire competency in its use.

Which one of the following identifies the underlying assumption of the above argument?

  • AOnly people who know how to read can learn a second or additional language.
  • BLanguages are fundamentally different from one another.
  • CChildren are better at acquiring languages than adults.
  • DLearners of second or additional languages should read the target language.
  • EAcquiring a second or additional language is the same process as acquiring a first language.
Correct answer: E Acquiring a second or additional language is the same process as acquiring a first language.

Full explanation

The chain of reasoning here rests on one single move: since young children pick up their first language just by being immersed in it – no grammar drills, no rules, and by five or six they’re fluent – the same must be true of anyone learning a second language. Skip the textbook grammar, just get exposure, and competence will follow.

That move only works if learning a second language is fundamentally the same process as learning a first one. Try denying it: suppose acquiring a second language actually works quite differently from picking up a first one (an adult brain already has one grammar system installed and has to consciously work around it, say). The moment that’s true, nothing about how five-year-olds absorb their mother tongue tells you anything about how a 30-year-old should study French, and the whole argument falls apart. That’s exactly what makes E the assumption it’s built on – deny it and the reasoning collapses.

The rest don’t carry that weight. A drags in reading ability, which the passage never mentions – the claim is about grammar study, not literacy. B would actually cut against the argument rather than prop it up: if languages were wildly different from each other, you’d have even less reason to assume one acquisition method fits all of them. C might be true in some general sense, but the argument doesn’t need children to be better learners than adults, it needs the process itself to transfer, which is a different claim entirely. D just isn’t there in the text; exposure is mentioned, reading specifically is not.

Summary to learn

In critical reasoning, an argument’s assumption is an unstated premise the argument needs in order for its conclusion to follow — a necessary logical link, not merely a related or plausible-sounding fact. The standard way to test whether a statement is that assumption is the negation test: suppose the statement is false; if the argument’s conclusion no longer holds up, the statement was a required assumption, and if the conclusion still stands without it, it wasn’t.

The following pattern is made from six square tiles:

IMAT 2016 question 10 figure
Which one of the following patterns can also be made from the same six tiles?

  • A
    IMAT 2016 question 10 answer option A
  • B
    IMAT 2016 question 10 answer option B
  • C
    IMAT 2016 question 10 answer option C
  • D
    IMAT 2016 question 10 answer option D
  • E
    IMAT 2016 question 10 answer option E
Correct answer: A

Full explanation

If we break down the given tiles, the following patterns can be noticed.

2 tiles — 2 small parts of a circle of the same size.

IMAT 2016 question 10 figure
IMAT 2016 question 10 figure

2 tiles — one large circle part and one small circle part

IMAT 2016 question 10 figure
IMAT 2016 question 10 figure

2 tiles — one large circle part

IMAT 2016 question 10 figure
IMAT 2016 question 10 figure

We can exclude option B because there are 3 tiles with one large circle part and one small circle part. Exclude option C because there is an irregular tile. Exclude option D because there are 3 tiles with 2 small parts of a circle of the same size. Exclude option E because there are 3 tiles with 2 small parts of a circle of the same size.

Therefore, the patterns can also be made from the same six tiles is the one from option A.

Summary to learn

In tiling and composition puzzles, any arrangement can be broken down into an inventory of how many of each type of piece it uses. Two arrangements are compatible with each other only if their inventories match exactly — a mismatch in the count of even one piece type is enough to rule an option out, without needing to visually reconstruct the whole layout.

Children need to play in order to develop their thinking skills. When children play, they are merely going through scenarios, working out the consequences and implications of actions, puzzling out what might happen — the very same processes that adults have learned to do in their heads, the process more commonly known as ‘thinking’! It follows that thinking and playing are really one and the same thing.

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

  • AChildren need to be taught how to think about the future.
  • BChildren who do not play will not be good thinkers.
  • CPlaying and thinking are essentially two forms of the same activity.
  • DChildren need to be allowed to play in order to develop their thinking skills.
  • EPlaying is just an early version of abstract thinking and reasoning.
Correct answer: D Children need to be allowed to play in order to develop their thinking skills.

Full explanation

It’s tempting to grab the last sentence – “thinking and playing are really one and the same thing” – and call that the conclusion, since it’s introduced with a textbook conclusion-word, “it follows that”. But look at what job that sentence is actually doing in the paragraph. Everything before it builds a case for a claim that’s already been stated right at the start: children need to play in order to develop their thinking skills. The middle of the passage explains why – playing runs the same mental processes as thinking – and the closing line is really just a punchy way of underlining that link, not a separate destination the argument is travelling towards.

Ask what the passage is fundamentally trying to convince you of. It isn’t trying to sell you on a philosophical claim about play and thought being identical for its own sake – that’s option C, and it’s a fair paraphrase of the final sentence, but not the passage’s actual point. It’s arguing for something practical: that play matters and should be protected because of what it does for a developing mind. That’s D, and it’s the claim everything else in the paragraph is in service of.

A and E aren’t supported anywhere in the text at all – nothing is said about teaching children how to think, or about play being an early stage of abstract reasoning. B gets closer, since a lack of play plausibly follows from the argument, but that’s a side-effect you could draw out of it, not the point being made.

Summary to learn

In argument structure, the main conclusion is the single claim that every other statement in the passage exists to support — identified by its logical role, not by its position in the text or by a conclusion-signalling word like “therefore” or “so”. A sentence carrying such a word can still be a restatement of a supporting point rather than the conclusion itself, if everything else in the passage is actually building toward a claim made earlier.

What is a clone but a twin? What is genetic engineering or selective breeding but assisted evolution? How often do we hear these trite excuses for man’s arrogant interference with natural processes? Too often. It is time to call a halt and consider just what limits need to be placed on the breakneck progress of biotechnology, if ‘progress’ is even the right word for it. The big question for science should not be ‘What’s in it for us?’ but ‘Could this have happened naturally?’ And if the answer is ‘No’ then we should not bring it about just because we have found that we can. If we do we may live a bit longer or grow more food per acre, but we don’t know where our meddling will end.

Which one of the following is a principle which underlies the above argument?

  • ANature will have its own way in the long run.
  • BMeddling with nature could only ever end in disaster.
  • CScience should not progress beyond what is natural.
  • DIt is time to call a halt on biotechnological advances.
  • ECloning, genetic engineering and selective breeding are not ‘progress’.
Correct answer: C Science should not progress beyond what is natural.

Full explanation

The passage builds to one clear rule, stated almost as a formula: the question science should ask isn’t “what’s in it for us” but “could this have happened naturally” – and if the answer is no, don’t do it, however tempting the benefits. That’s a principle about where the line sits, not a verdict on any one technology.

C matches that rule directly: science shouldn’t progress beyond what nature would do on its own. Notice it’s pitched at the right level of generality – a rule you could apply to any future case, not a one-off judgement about cloning or breeding specifically.

D sounds similar but isn’t a principle at all – it’s a call to action (“call a halt”), the practical recommendation that follows FROM the principle, not the principle itself. E is a specific verdict about three named practices, again a conclusion the principle produces rather than the underlying rule doing the producing. A misreads the passage – nowhere does the author argue nature will inevitably win out, only that we shouldn’t push past it deliberately. And B overstates the case: the author worries about unknown consequences of meddling, not that disaster is certain, so “could only ever end in disaster” goes further than the text supports.

Summary to learn

Critical reasoning distinguishes three related but different things: a conclusion (the specific claim the argument reaches about the situation described), a recommendation (a specific call to action that follows from the conclusion), and a principle (a general rule, stated abstractly enough that it could apply to other similar situations beyond the one at hand). Telling these three apart correctly is exactly what this kind of question is testing.

I have folded a square piece of paper in half, then in half again, then cut three pieces from the resulting smaller square, as indicated below:

IMAT 2016 question 13 figure
Which one of the following CANNOT possibly be the appearance of the paper after I unfold it?

  • A
    IMAT 2016 question 13 answer option A
  • B
    IMAT 2016 question 13 answer option B
  • C
    IMAT 2016 question 13 answer option C
  • D
    IMAT 2016 question 13 answer option D
  • E
    IMAT 2016 question 13 answer option E
Correct answer: E

Full explanation

IMAT 2016 question 13 figure

If the left top corner is the middle part of the paper, then there would be a square hole in the middle when unfolded. And a circle top and bottom of that square hole.

If the right bottom corner is the middle part of the paper, then there would be a diamond 4-sided shaped hole in the middle when unfolded. No circle above and below the hole.

Therefore, it is obvious that option E cannot possibly be the appearance of the paper after I unfold it.

Summary to learn

Paper-folding problems rely on the geometry of reflection: a cut made through folded layers of paper is mirrored across every fold line once the paper is unfolded. Whether the result is a closed shape (like a hole) or an open one (like a notch at the edge) depends on whether the cut sits away from the fold, producing a fully enclosed mirrored shape, or intersects the paper’s original outer edge, producing an opening at the boundary.

Children born in Japan today can expect to live five years longer than their American counterparts. Life expectancy has been rising in all countries, but the slowest rate of increase has been in the USA. What could account for this, given that the percentage of people who smoke is roughly the same in all rich countries? Of course, the USA is the birthplace of fast food restaurants that sell unhealthy food. Moreover, a recent survey of American lifestyles has found that overeating and failure to exercise are widespread amongst the population. So we must assume that obesity and lack of exercise have caused the USA to lag behind in the increase in life expectancy.

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

  • AMost rich countries have the same standard of medical expertise.
  • BThe USA spends more money on fast food than any other nation.
  • CJapanese children had a healthier diet in the 1960s than they do today.
  • DIn the 1960s and 1970s the USA had the highest percentage of smokers.
  • EAmerican fast food restaurants are now found in most rich countries.
Correct answer: D In the 1960s and 1970s the USA had the highest percentage of smokers.

Full explanation

Strip the argument down to its shape: US life expectancy is rising more slowly than elsewhere; smoking rates are said to be roughly equal across rich countries today, so smoking can’t explain the gap; therefore it must be obesity and inactivity. That “therefore” only survives if there’s genuinely no other plausible cause competing for the blame.

D reopens exactly that door. Life expectancy today reflects decades of health history, not just current habits – so if the US had unusually heavy smoking back in the 1960s and 70s, that generation is only now reaching the ages where smoking-related disease (heart disease, cancer, COPD) cuts life short. A gap driven by decades-old smoking would look identical, from the outside, to a gap driven by today’s obesity, which means the argument can no longer pin the blame on diet and exercise with any confidence. That’s a genuine competing explanation, and a competing explanation is exactly what weakens a causal argument like this one.

The rest don’t do that work. A says medical care is roughly equal across countries – that leaves the obesity theory untouched rather than challenging it. B (Americans spend more on fast food) if anything reinforces the obesity story instead of undermining it. C is about Japanese diets decades ago, which isn’t what the argument rests on. E – fast food spreading to other countries too – blurs the USA’s uniqueness a little, but it doesn’t explain why the USA specifically is lagging, so it’s a far weaker challenge than D’s built-in alternative cause.

Summary to learn

A causal argument that concludes “X caused Y” by ruling out other possible explanations is weakened by reopening one of those ruled-out alternative causes — showing that the alternative could still plausibly explain the outcome undermines the argument’s central move (elimination of other causes), which makes it a much stronger weakener than a fact that’s merely tangential to the causal claim.

While some animal rights activists have long accepted that there is a link between bovine tuberculosis (TB in cattle) and badgers, others have argued that it was not proven. They felt that the culling of badgers to stop the spread of TB in cattle was not justified if a link was unproven. But direct evidence of the transmission of TB between badgers and cattle has now been found. DNA sequencing of the TB bacteria in cattle and in badgers has shown that the disease crosses species barriers. This latest discovery completely undermines the case of those who have opposed badger culling. To protect farmers from severe loss of their cattle and hence their livelihoods — and to protect one of our primary sources of meat and milk — the badger population should be culled.

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

  • AAnimal rights activists are interested in the protection of badgers per se, whatever risk they pose.
  • BThere may be factors other than badgers, such as the movement of cattle, which contribute to the spread of TB in cattle.
  • CIt is too expensive and logistically difficult to vaccinate all cattle against TB.
  • DBadger culling would be unpopular with a substantial number of people.
  • ENot all farmers are convinced that the culling of badgers would stop the spread of TB.
Correct answer: B There may be factors other than badgers, such as the movement of cattle, which contribute to the spread of TB in cattle.

Full explanation

The passage’s logic runs: DNA evidence shows TB genuinely crosses between badgers and cattle, so culling badgers is justified to protect farmers and the food supply. For that conclusion to hold up, culling badgers actually has to be an effective way to bring the disease under control – not just a reasonable response to where it partly comes from.

B goes straight at that gap: if cattle movement between farms is also spreading TB significantly, then culling badgers alone won’t solve the problem the argument is trying to solve. You could remove every badger in the country and still see TB spreading through the national herd via cattle transport. That doesn’t dispute the DNA evidence at all – it just shows that treating badgers as THE fix, on their own, doesn’t actually follow from badgers being A source.

None of the other options touch that gap. A is about what animal rights activists want, which says nothing about whether culling works. C and E both raise practical or opinion-based objections (vaccination cost, farmer scepticism) without disputing that culling would reduce TB if applied. D is just about culling being unpopular – unpopularity isn’t the same as ineffectiveness, so it leaves the argument’s actual reasoning untouched.

Summary to learn

An argument of the form “A contributes to problem Y, so removing A will solve Y” has a logical gap: contributing to a problem is not the same as being its only, or even its main, cause. This kind of argument is weakened most directly by pointing to another significant contributing factor that the proposed fix does nothing to address, since that shows the problem could persist even after A is removed.

In the foyer of a company in London there are nine clocks showing the local time at each of the company’s nine branches.

This is how they appear at present:

IMAT 2016 question 16 figure
The person in charge of resetting these clocks in March and October has to remember:

1 In Dubai, Singapore and Tokyo clocks remain unchanged all year round.

2 In London, Athens, Chicago and New York clocks are put one hour forward in March and one hour back in October.

3 In Santiago and Sydney clocks are put one hour forward in October and one hour back in March.

When these clocks are next reset, which two will show the same time?

  • AChicago and New York
  • BAthens and London
  • CNew York and Santiago
  • DSingapore and Tokyo
  • ESydney and Tokyo
Correct answer: C New York and Santiago

Full explanation

January (current)March
Dubai19:3719:37
Singapore23:3723:37
Tokyo00:3700:37
London15:3716:37
Athens17:3718:37
Chicago09:3710:37
New York10:3711:37
Santiago12:3711:37
Sydney02:3701:37

In the next reset (in March), New York and Santiago will show the same time.

Reading the January-to-March column for every city: Dubai, Singapore and Tokyo don’t change their clocks at all, while London, Athens and Chicago move forward an hour and Sydney moves back an hour – none of these match another city’s new time.

New York moves forward from 10:37 to 11:37, and Santiago moves back from 12:37 to 11:37 – so in March, New York and Santiago show exactly the same time, 11:37.

Therefore, the correct answer is C: New York and Santiago.

Summary to learn

Time zones exist because the Earth is divided into longitudinal bands, each kept on a local clock time offset by a fixed number of hours from a reference time (UTC). When one region’s clocks shift, for example for daylight saving, while another’s don’t, comparing the two means applying each region’s own offset from the shared reference point and checking where the two independently-shifted times happen to coincide.

Childhood obesity is still a problem. This is often blamed on the fact that children have easy access to a range of unhealthy foods and increasingly have more money available to them to spend on fattening and sugarfilled foods. A solution seems obvious — raise the prices of all these foods so that parents will have more control over what their children eat and will find it more economical to buy healthy foods. Unfortunately, this is unlikely to work as the problem is also caused by the fact that unhealthy foods tend to be more convenient and that is what many parents consider when deciding what foods to provide. A wider range of ‘ready to eat’ healthy food options would be a good start to solving the problem of child obesity.

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

  • AParents should have more control over the food that their children eat.
  • BThe price of unhealthy foods should be raised.
  • CThere should be more ‘ready to eat’ healthy meals available.
  • DChildren have too much access to fattening and sugarfilled foods.
  • EChild obesity is still a problem.
Correct answer: C There should be more ‘ready to eat’ healthy meals available.

Full explanation

Read the passage as moving through a rejected idea before landing on the one it actually endorses. It opens by naming the problem (childhood obesity), floats the obvious-sounding fix (raise the price of unhealthy food), then knocks that fix down – convenience, not price, is what really drives what parents put in front of their kids. The sentence that survives all of that is the last one: a wider range of ready-to-eat healthy options would be a good start. That’s C, and it’s the only option representing where the argument actually ends up rather than somewhere it merely passes through.

E and D are both just the opening premise restated – childhood obesity being a problem, and children having access to unhealthy food – true, but scene-setting rather than the point being argued for. B is the idea the passage explicitly argues against (“unlikely to work”), so picking it as the conclusion has the argument contradicting itself. A drifts into a related but different claim about parental control that the passage mentions only in passing, while explaining why raising prices seemed appealing in the first place.

Summary to learn

When a passage introduces an idea, argues against it, and then proposes something else, the argument’s actual conclusion is the proposal that survives at the end — the initial idea was only ever a rejected option along the way, and the problem stated at the start is the motivation for the argument rather than its conclusion.

The government is considering changing the law to assume consent for the donation of organs after death. People opposed to the idea would have to deliberately ‘opt out’ of the scheme, although relatives would still be consulted. The supply of healthy organs available for transplant would be vastly increased under this scheme. If the government really wants to improve the lives of people with long term health problems, this is a measure it must take.

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

  • ABereaved relatives find donation decisions very distressing.
  • BThe number of voluntary organ donors is small and not increasing.
  • CNot all of the organs donated are suitable for transplant.
  • DThere would be opposition by civil liberties groups to this measure.
  • EIt is not known how many people would ‘opt out’ of the compulsory scheme.
Correct answer: B The number of voluntary organ donors is small and not increasing.

Full explanation

To strengthen “switch to an opt-out system, because it would massively increase organ supply and that would help patients”, the most direct move is to make the current, opt-in system look inadequate – if voluntary donation were already working fine, there’d be far less reason to change it.

B does exactly that: a donor pool that’s small and going nowhere is a strong practical case for trying a different system, since the status quo clearly isn’t going to close the gap on its own. That’s a genuine boost to the argument, not just a restatement of it.

Every other option pulls the other way. A points to the emotional cost for grieving families – a real downside of the scheme, not a reason to think it’ll work better. C says not every donated organ is usable, which chips away at how much good the “vastly increased supply” actually buys. D flags political opposition, and E flags uncertainty about how many people would opt out – both are reasons to doubt the plan will run smoothly, not reasons to think it’s a good idea in the first place.

Summary to learn

An argument proposing that one system replace another is strengthened most by evidence that the current system is itself failing or inadequate, since that speaks directly to the comparison the argument is making. Describing extra benefits of the new system, without addressing the state of the current one, leaves that core comparison untouched and so strengthens the argument far less.

In recent years there has been increased concern that fashion models reflect an unrealistic and unattainable image of femininity and that this has a negative effect on the self esteem of many young women. Many major designers continue to design for an exceptionally tall and flat chested female frame. It should be no surprise therefore that there have been several cases recently when designers have favoured male models on their catwalks to model their womenswear. Rather than being a cause of surprise or concern, this should be welcomed as a recognition of the fact that these designs are unsuitable for most women and it draws attention to the major differences between catwalk fashion and clothing for the real world.

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

  • ASome designers have favoured male models simply to generate more media attention for their collections.
  • BSome female models struggle to maintain the necessary physique for catwalk modelling.
  • CSome designers are recognising that the physique of many catwalk models represents an unhealthy ideal for most women.
  • DVery few observers noticed initially that the male models were not in fact women.
  • ESurveys of young women have suggested that the use of male models makes the typical model physique less desirable to attain.
Correct answer: E Surveys of young women have suggested that the use of male models makes the typical model physique less desirable to attain

Full explanation

The author’s case is that using male models for womenswear is a good thing because it exposes how unrealistic the usual catwalk body type is for real women. To strengthen that, you want evidence that the swap is actually doing the good the author claims – changing how women see that ideal – rather than evidence about designers’ motives or media buzz.

E supplies exactly that: surveys showing young women find the typical model physique less desirable to aim for, once male models enter the picture, is direct evidence that the intended effect – undercutting an unhealthy standard – is actually happening. It confirms the argument’s payoff, not just its premise.

A undercuts the argument rather than helping it – if designers are doing this purely for media attention, the positive social reading the author gives it looks less credible. B and D are background noise: struggling models and confused onlookers don’t speak to whether the practice helps or hurts body image. C is the closest distractor, since it echoes the author’s framing, but it only shows that some designers agree with the point – it doesn’t show the strategy actually changes how women feel about their bodies, which is the specific evidence E provides.

Summary to learn

An argument claiming that some action produces a specific positive effect is strengthened most directly by evidence that the effect has actually been observed or measured happening — outcome data. Evidence that only supports the surrounding context or the actor’s motive for taking the action doesn’t establish that the effect occurred, so it adds much less strength to the argument.

High profile members of society can raise awareness of worthy causes better than members of the public, because they have their opinions listened to and respected more readily by a larger number of people. Celebrities should not be shy about drawing attention to charities and foundations to which they donate their time and money, because it may encourage other people to do the same.

Which one of the following best illustrates the principle underlying the argument above?

  • APeople should value their superiors’ opinions on all matters because they have been successful in one or more fields.
  • BIf your boss does not commit any virtuous acts then neither should you.
  • CIf you can help someone else by donating your disposable time and money, it will help improve society.
  • DDirectors of companies should encourage their employees to recycle more by visibly doing so themselves.
  • ECompanies with the most employees should be put under pressure to commit to the most social change.
Correct answer: D Directors of companies should encourage their employees to recycle more by visibly doing so themselves.

Full explanation

Strip the passage to its bare structure and you get: someone visible and influential does something good, publicly, so that other people copy them. To find a matching example, look for all three pieces together – a person with visibility, a positive act done openly, and the intent (or effect) of inspiring imitation – not just any statement about influence or ethics in general.

D has all three: company directors, visibly recycling themselves, so employees follow suit. Swap “celebrities and charity” for “directors and recycling” and it’s the same shape of argument, piece for piece.

The others are each missing at least one piece. A is about obeying successful people’s opinions on everything, which isn’t about setting an example through one’s own action. B describes copying bad behaviour (or its absence) – the mirror image of the original principle rather than a match for it. C is about individuals doing good directly, with no influential figure and no one being inspired to follow. E is about company size dictating responsibility, which has nothing to do with leading by example.

Summary to learn

Two arguments share the same underlying structure only when they match in every structural role — who or what is acting, what action is taken, and the stated justification for it — not merely in general subject matter. An option that shares the topic but changes or omits even one of these roles is not a genuine structural parallel, no matter how similar it looks on the surface.

Which of the following countries is NOT a founding member of NATO?

  • ACanada
  • BBelgium
  • CGermany
  • DFrance
  • EItaly
Correct answer: C Germany

Full explanation

NATO (North Atlantic Treaty Organization) was founded on April 4, 1949. The 12 founding members were :

US, Canada, UK, France, Italy, Belgium, Netherlands, Luxembourg, Norway, Denmark, Iceland, Portugal.

Summary to learn

The European Economic Community (the EU’s forerunner), founded by the 1957 Treaty of Rome, had six original signatory states: Belgium, France, Italy, Luxembourg, the Netherlands, and West Germany. Many other well-known EU members — including the United Kingdom (which later left), Spain, and Poland — joined in later rounds of enlargement and were not part of this founding group.

Which of the following is NOT one of the Seven Wonders of the Ancient World?

  • AThe Hanging Gardens of Babylon
  • BThe Great Pyramid of Giza
  • CThe Lighthouse of Alexandria
  • DThe Parthenon of Athens
  • EThe Colossus of Rhodes
Correct answer: D The Parthenon of Athens

Full explanation

The 7 Wonders of the Ancient World are :

The Great Pyramid of Giza (Egypt)

The Hanging Gardens of Babylon (Iraq — though existence is debated)

The Statue of Zeus at Olympia (Greece)

The Temple of Artemis at Ephesus (Turkey)

The Mausoleum at Halicarnassus (Turkey)

The Colossus of Rhodes (Greece)

The Lighthouse of Alexandria (Egypt)

Summary to learn

The traditional Seven Wonders of the Ancient World are: the Great Pyramid of Giza, the Hanging Gardens of Babylon, the Statue of Zeus at Olympia, the Temple of Artemis at Ephesus, the Mausoleum at Halicarnassus, the Colossus of Rhodes, and the Lighthouse of Alexandria. Only the Great Pyramid still survives today; other famous ancient structures, such as the Colosseum or Stonehenge, are well known but are not part of this specific list.

Biology

Cell biology, genetics, molecular biology & human physiology · 18 questions
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Which organelle contains RNA but not DNA?

  • ANucleolus
  • BMitochondrion
  • CChloroplast
  • Dsmooth endoplasmic reticulum
  • Eribosome
Correct answer: E ribosome

Full explanation

Nucleolus : produces rRNA and it is also the house of DNA since it is inside the nucleus.

Mitochondrion : contains both its own rRNA and circular DNA.

Chloroplast : contains both its own rRNA and circular DNA.

Smooth ER : Does not contain RNA or DNA Ribosome : contains RNA but does not contain DNA.

Summary to learn

Different cell organelles contain different nucleic acids. The nucleus/nucleolus, mitochondria, and chloroplasts all contain both DNA and RNA (mitochondria and chloroplasts each carry their own small genome). Ribosomes are built from rRNA and protein and contain no DNA. Smooth endoplasmic reticulum contains neither DNA nor RNA, since its role is lipid synthesis and detoxification rather than genetic material or protein assembly.

An organism is heterozygous for two genes. These two genes make up part of the same DNA molecule.

For one gene, E represents the dominant allele, e represents the recessive allele.

For the other gene, R represents the dominant allele, r represents the recessive allele.

Assuming there is no mutation, at the end of a mitotic division producing two cells which row(s) is/are possible?

number of DNA molecules containing these two genes in each cellalleles present in each cell
row 1oneonly E or only R
row 2oneE and r
row 3oneE and R
row 4twoonly E on one molecule, only R on the other
row 5twoonly e on one molecule, only r on the other
row 6twoE and R on one molecule, e and r on the other
row 7twoE and r on one molecule, e and R on the other
  • Arow 6 only
  • Brows 4 and 5 only
  • Crow 1 only
  • Drows 2 and 3 only
  • Erows 6 and 7 only
Correct answer: E rows 6 and 7 only

Full explanation

An organism is heterozygous for two genes. 2 genes are on the same DNA molecule.

It could be E and R on one chromosome and e and r on another.

(or)

E and r on one chromosome and e and R on another.

Whatever the case is — at the end of a mitotic division, the exact same chromosomes will be in the daughter cell because this is mitosis (no crossing over, no random arrangement of homologous chromosomes)

So, both row 6 and row 7 could be the case.

Summary to learn

Mitosis produces two daughter cells that are genetically identical to the parent cell, because there is no crossing-over and no independent assortment during mitosis (both are meiosis-specific events). For genes linked together on the same chromosome, whatever combination of alleles sits together on that chromosome going into mitosis is copied unchanged onto both resulting chromosomes — mitosis cannot generate a new allele combination that wasn’t already present.

Which row correctly identifies a nucleic acid NOT directly involved in transcription, and a nucleic acid which is NOT directly involved in translation?

rownucleic acid NOT directly involved in transcriptionnucleic acid NOT directly involved in translation
1tRNADNA
2mRNAtRNA
3DNAmRNA
4tRNAmRNA
5DNADNA
  • Arow 3
  • Brow 5
  • Crow 1
  • Drow 4
  • Erow 2
Correct answer: C row 1

Full explanation

Transcription is the synthesis of mRNA using DNA as a template.

Translation is the synthesis of protein using mRNA as template and tRNA and rRNA serve as part of machinery.

So, nucleic acid NOT directly involved in transcription is tRNA or rRNA.

Nucleic acid NOT directly involved in translation is DNA.

The correct row is row 1.

Summary to learn

Transcription copies a DNA template into a complementary mRNA strand, and only DNA and mRNA take part — tRNA and rRNA play no role in transcription itself. Translation then uses that mRNA together with tRNA (which delivers amino acids to the ribosome) and rRNA (a structural and catalytic component of the ribosome) to build a protein; DNA itself takes no direct part in translation.

Which row of the table correctly indicates features that are found in both pure extracts of DNA and tRNA molecules?

✓ = present and X = absent

pentose sugaradeninehydrogen bondphosphodiester bonduracil
row 1✓✓XXX
row 2X✓✓✓✓
row 3✓XX✓✓
row 4✓✓✓✓X
row 5X✓XX✓
  • Arow 4
  • Brow 1
  • Crow 5
  • Drow 3
  • Erow 2
Correct answer: A row 4

Full explanation

In pure extracts of DNA molecules, there is pentose sugar, a phosphate group bound to sugar through phosphodiester bonds, and one of 4 bases which are adenine, cytosine, guanine and thymine. Since DNA is double stranded, hydrogen bonds can also be found between 2 strands.

In pure extracts of tRNA molecule, there is pentose sugar, a phosphate group bound to sugar through phosphodiester bonds, and one of 4 bases which are adenine, cytosine, guanine and uracil. tRNA is in clover shape which is formed through hydrogen bonds.

In both molecules, pentose sugar, a phosphate group bound to sugar through phosphodiester bonds, 3 bases (A, C, G) and hydrogen bonds can be found.

Therefore, the correct row is row 4.

Summary to learn

DNA and RNA molecules such as tRNA share a common underlying chemistry: both are chains of nucleotides linked by phosphodiester bonds around a sugar-phosphate backbone, and both rely on hydrogen bonding between complementary bases. They differ in their sugar (deoxyribose in DNA, ribose in RNA), in one of their four bases (DNA uses thymine where RNA uses uracil, while adenine, cytosine and guanine are shared by both), and in overall shape (DNA typically forms a long double helix; tRNA is a single strand folded into a compact clover-leaf shape).

Which of the following can be random processes?

1 genetic drift 2 mutations 3 artificial selection

  • A2 and 3 only
  • B1, 2 and 3
  • C1 and 2 only
  • Dnone of them
  • E1 and 3 only
Correct answer: C 1 and 2 only

Full explanation

Genetic drift : Genetic drift is the fluctuation of allele frequencies in a population, especially significant in small populations. It occurs by chance. So, this is a random process.

Mutations : Mutations occur due to errors in DNA replication or from external factors (radiation, chemicals), but the location and nature of mutation are random. So, this also can be a random process.

Artificial selection : Artificial selection is intentional and directed by humans who select individuals with desired traits to reproduce. This is a non-random process because specific traits are chosen on purpose.

Therefore, only process 1 and 2 can be random processes.

Summary to learn

Some biological processes are genuinely random, and some only appear that way. Genetic drift changes allele frequencies purely by chance, and the exact site of a new mutation is unpredictable — both are random. Natural selection is not random, since it favours traits based on their effect on survival and reproduction, and artificial selection is even less random, being deliberately directed by human choice toward a specific desired trait.

Below are some steps involved in the production of transgenic plants.

IMAT 2016 question 28 figure
Which one of the following options gives a correct order for these steps?

  • AW → Z → X → V → Y
  • BW → Z → X → Y → V
  • CZ → W → V → Y → X
  • DW → V → Z → X → Y
  • EZ → W → V → X → Y
Correct answer: E Z → W → V → X → Y

Full explanation

Some steps involved in the production of transgenic plants.

1. Prepare the plasmid

2. Isolate the target gene

3. Mix the target gene with the plasmid and make copies

4. Identify the recombinant plasmid 5. Inject that recombinant plasmid into host plant cells So, the correct order would be Z → W → V → X → Y

Summary to learn

Producing a recombinant protein through genetic engineering follows a defined workflow: isolate the gene of interest, prepare a vector (such as a plasmid) by cutting it with the same restriction enzyme used on the gene, ligate the gene into the vector to form a recombinant molecule, introduce that recombinant vector into a host cell and allow it to replicate, verify successful uptake, and then let the host express and deliver the desired protein product.

Which sequence shows cells of increasing size (from left to right)?

  • AE. coli → human red blood cell → onion epidermal cell
  • Bhuman red blood cell → E.coli → onion epidermal cell
  • CE. coli → onion epidermal cell → human red blood cell
  • Donion epidermal cell → human red blood cell → E. coli
  • Eonion epidermal cell → E. coli → human red blood cell
Correct answer: A E. coli → human red blood cell → onion epidermal cell

Full explanation

E coli is a prokaryote and prokaryote has size around 1 µm

Human RBC is an animal eukaryotic cell and eukaryotic cells have size around 10-100 µm Onion cell is a plant eukaryotic cell and plant cells are usually bigger than animal cells.

Therefore the sequence of cells according to increasing size is

E. coli → human red blood cell → onion epidermal cell

Summary to learn

Cell size spans a wide range across three broad categories. Prokaryotic cells (bacteria) are typically around 1 micrometre across. Animal (eukaryotic) cells are generally larger, roughly 10 to 100 micrometres. Plant eukaryotic cells tend to be the largest of the three, often because a large central vacuole adds considerable volume without adding much metabolic mass.

Which option shows the structure in humans that produces bile and then the structure that stores bile?

  • Agall bladder produces and then liver stores
  • Bliver produces and then liver stores
  • Cgall bladder produces and then gall bladder stores
  • Dliver produces and then gall bladder stores
  • Eliver produces and then duodenum stores
Correct answer: D liver produces and then gall bladder stores

Full explanation

Bile is produced by the liver and stored in the gall bladder. Gall bladder is solely used to store the bile.

Thus, the correct option is option D.

Summary to learn

Bile is produced continuously by the liver, which synthesises it from cholesterol and secretes it for use in digesting and emulsifying dietary fats. The gallbladder does not produce any bile itself — its role is purely to store and concentrate the bile the liver has already made, releasing it into the small intestine through the bile duct once fatty food arrives and digestion requires it.

The diagram represents a whole DNA plasmid that has been cut open using a single restriction enzyme:

IMAT 2016 question 31 figure
What are the bases in positions 1, 2, 3, 4 and 5 respectively?

  • AT T G C T
  • BU C G U U
  • CU G C U U
  • DU U G C T
  • ET C G T T
Correct answer: A T T G C T

Full explanation

This plasmid is a circular piece of DNA that’s been cut open at one point and stretched out flat for the diagram – like snipping a rubber band and laying it out straight. Because it used to be a closed loop, the two ends of the strand you’re shown aren’t unrelated: they’re the two edges of that same single cut, so they sit directly opposite each other on the two strands once you picture the circle closed back up. That’s exactly where positions 1 to 5 are drawn – right underneath A-A-C-G-A.

So positions 1-5 aren’t a fresh stretch of DNA to work out independently – they’re just the bases on the complementary strand, sitting directly across from A-A-C-G-A.

This is DNA, not RNA, so there’s no uracil anywhere in the answer – that rules out options B, C and D on sight, since they all use U. We’re left choosing between A and E using ordinary Watson-Crick pairing: A pairs with T, C pairs with G.

Going along the strand: A→T, A→T, C→G, G→C, A→T – giving T-T-G-C-T for positions 1 through 5. Option E (T C G T T) looks similar but swaps the 2nd and 4th letters, so it’s worth checking base-by-base rather than pattern-matching.

Therefore, the correct answer is A: T T G C T.

Summary to learn

A circular DNA molecule such as a plasmid, once cut at one point by a restriction enzyme, can be drawn as a straight linear sequence — the two ends of that line represent the same original cut site and pair up with each other once the circle is mentally closed again. From there, ordinary Watson-Crick base pairing applies (A with T, C with G), and any option containing uracil (U) can be ruled out immediately, since DNA never contains uracil — that base belongs to RNA only.

Which labelled structure on the diagram of the brain plays the major role in regulating the nervous control of heart rate?

IMAT 2016 question 32 figure
  • A1
  • B3
  • C4
  • D2
  • E5
Correct answer: A 1

Full explanation

Label number 1 : Brain stem — Controls vital functions (e.g., breathing, heartbeat)

Label number 2 : Pituitary gland — Regulates many other endocrine glands; essential for homeostasis and growth.

Label number 3 : Cerebrum — it is responsible for memory, conscious thought, voluntary movement, learning, personality.

Label number 4 : Occipital lobe — It is dedicated entirely to vision — damage here can lead to partial or complete blindness, visual hallucinations, or misperceptions.

Label number 5 : Cerebellum — Balance, coordination, fine motor skills So, the structure that plays the major role in regulating the nervous control of heart rate is the brain stem.

Summary to learn

Different regions of the brain have distinct primary functions: the brain stem controls involuntary, life-sustaining functions such as heartbeat and breathing; the cerebellum coordinates balance, posture and fine motor control; the cerebrum, the brain’s largest region, handles conscious thought, sensory processing and voluntary movement; the occipital lobe processes visual information; and the pituitary gland regulates hormone release throughout the body.

The dipeptide represented below is in aqueous solution.

IMAT 2016 question 33 figure
Which numbered bond (1 to 5) needs to be broken (hydrolysed) in this dipeptide to directly form two amino acids?

  • A1
  • B5
  • C3
  • D4
  • E2
Correct answer: C 3

Full explanation

A dipeptide is just two amino acids joined by a single peptide (amide) bond, -CO-NH-. To split it back into its two separate amino acids, you only need to hydrolyse that one bond – water adds across it, restoring a -COOH on one residue and a free amino group on the other.

In the structure, bond 3 sits exactly on that C-N join between the two residues – it’s the peptide bond. The other four bonds all sit inside one residue or the other, so cutting them just knocks a piece off a single amino acid rather than separating two whole ones:

Bond 1 links the right-hand residue’s own alpha-carbon to its -NH₃⁺ group – breaking it strips that residue’s amino group off, it doesn’t free two amino acids.

Bond 2 links that same alpha-carbon to its own carbonyl carbon, again entirely within the right-hand residue.

Bonds 4 and 5 sit on the left-hand residue’s alpha-carbon, holding its H and its CH₃ side chain – those are just substituents of that one amino acid (alanine), not the link between the two residues.

Only bond 3 is the actual peptide bond joining the two amino acids together, so that’s the one hydrolysis has to break. Therefore, the correct answer is C: 3.

Summary to learn

A dipeptide is two amino acids joined by a single peptide (amide) bond, formed between the carboxyl group of one amino acid and the amino group of the other, with the loss of a water molecule. Hydrolysing a dipeptide back into its two separate amino acids means breaking specifically this bond between the two residues — breaking any bond within a single amino acid’s own side chain or backbone would only damage that amino acid rather than separate the two.

Which of the following are respiratory enzymes?

1 acetyl coenzyme A 2 FAD 3 reduced NAD

  • A1 and 2 only
  • B2 and 3 only
  • C1, 2 and 3
  • Dnone of them
  • E1 and 3 only
Correct answer: D none of them

Full explanation

Respiratory enzymes mean enzymes that help speed up the reaction during the cellular respiration process.

All the mentioned molecules are coenzymes, not enzymes.

Acetyl CoA is used during pyruvate oxidation and FAD and NADH acts as electron carriers.

Examples of enzymes include hexokinase, enolase, and pyruvate kinase.

Summary to learn

Enzymes are proteins that catalyse biological reactions, and their names conventionally end in “-ase” (for example hexokinase, pyruvate kinase). Coenzymes — such as acetyl coenzyme A, FAD, and NAD — are smaller, often vitamin-derived molecules that assist enzymes by carrying electrons or chemical groups during a reaction, but they are not enzymes or proteins themselves.

In the testes of a healthy man there are diploid cells that undergo meiosis to produce gametes.

Which of the following statements is/are correct about meiosis for one of these diploid cells?

1 The diploid cell has doubled its DNA content before the start of meiosisI.

2 The cells at the start of meiosis II are diploid.

3 The total number of chromosomes produced by the end of meiosis II is double that of the original diploid cell.

  • A3 only
  • B2 and 3 only
  • C1, 2 and 3
  • D1 and 3 only
  • E1 only
Correct answer: D 1 and 3 only

Full explanation

In the testes of a healthy man there are diploid cells that undergo meiosis to produce gametes.

Analysis of the given statements Statement 1 : True. Before meiosis begins, the diploid primary spermatocyte undergoes interphase, during which DNA replication occurs. So each chromosome consists of two sister chromatids → DNA content is doubled, but the cell is still diploid (2n).

Statement 2 : False. After meiosis I, homologous chromosomes are separated → two cells are formed, each with half the number of chromosomes → haploid (n). Therefore, cells at the start of meiosis II are haploid, not diploid.

Statement 3 : True. At the end of meiosis II, 4 daughter cells are produced each with n number of chromosomes (total 4n). The original diploid cells has 2n number of chromosomes. So, it can be said that the total number of chromosomes produced by the end of meiosis II is double that of the original diploid cell.

Summary to learn

Through meiosis, DNA content and ploidy (number of chromosome sets) change at different points. DNA content doubles during S-phase before meiosis begins, while the cell is still diploid. Ploidy halves specifically at the end of meiosis I, when homologous chromosome pairs separate, producing two haploid cells that each then divide again in meiosis II. Because one diploid cell yields four haploid daughter cells in total, the chromosome count summed across all four ends up double the original diploid number.

The diagram shows the change in potential difference (pd) across the cell surface membrane of a sensory neuron. During which one of the phases (1–5) are the Na+ gates of the neuron open?

IMAT 2016 question 36 figure
  • A1
  • B3
  • C4
  • D2
  • E5
Correct answer: D 2

Full explanation

In the given action potential diagram,

Phase 1 : Resting membrane potential — Na⁺/K⁺ pump maintains this

Phase 2 : Depolarization and action potential — Voltage-gated Na⁺ channels open Phase 3 : Repolarization — Voltage-gated Na⁺ channels inactivate and Voltage-gated K⁺ channels open Phase 4 : Return to action potential — K⁺ channels close, Na⁺/K⁺ pump and leak channels restore baseline Phase 5 : Resting membrane potential Therefore, the Na+ gates of the neuron open during phase 2 which is the depolarization and action potential phase.

Summary to learn

An action potential’s phases correspond to specific ion-channel activity. Depolarisation, the rapid upward phase, occurs as voltage-gated sodium (Na⁺) channels open and Na⁺ rushes into the cell. Repolarisation, the downward phase, occurs as those Na⁺ channels close while voltage-gated potassium (K⁺) channels open, letting K⁺ flow out. Between action potentials, the resting membrane potential is actively maintained by the Na⁺/K⁺ pump, which continuously exports Na⁺ and imports K⁺ against their concentration gradients.

An experiment is set up to study two genes. The two genes assort independently and for each gene the expression of alleles involves complete dominance. In the genetic cross RrTt x RrTt, a number of different phenotypes are seen. What is the difference between this number of phenotypes and the number of phenotypes seen when the cross RrTt x rrtt is carried out?

  • A4
  • B8
  • C2
  • D1
  • E0
Correct answer: E 0

Full explanation

You can always write a punnett square for each cross but it is recommended to memorize the typical phenotypic ratios of a dihybrid cross. When two heterozygous dihybrids ( RrTt x RrTt) are crossed, the phenotypic ratio is 9:3:3:1. When a heterozygous dihybrid is crossed with a homozygous recessive individual (RrTt x rrtt), the resulting phenotypic ratio is 1:1:1:1.

In both cases, 4 different phenotypes can be observed. So, the difference between the number of phenotypes for 2 different crosses is 0. (4 – 4 = 0)

Summary to learn

A dihybrid cross tracks two genes at once. Crossing two heterozygotes for both genes (Aa Bb × Aa Bb) produces the classic 9:3:3:1 phenotypic ratio across four phenotype classes. A test cross — a heterozygote crossed with a homozygous recessive (Aa Bb × aa bb) — produces an even 1:1:1:1 ratio across the same four phenotype classes, since the recessive parent contributes only recessive alleles and so directly reveals the heterozygous parent’s gamete ratios.

Which option correctly identifies the site of the light dependent reactions in photosynthesis (S), the hydrogen carrier (H) used and its end state (N)?

  • AS: stroma; H: NAD; N: reduced
  • BS: granum; H: NAD; N: reduced
  • CS: granum; H: NADP; N: reduced
  • DS: stroma; H: NADP; N: oxidised
  • ES: stroma; H: FAD; N: oxidised
Correct answer: C S: granum; H: NADP; N: reduced

Full explanation

In photosynthesis, the light-dependent reactions occur in the thylakoid membranes, which are organized into stacks called grana. The hydrogen carrier NADP⁺ is reduced to NADPH during these reactions.

So, the correct option is option C.

Summary to learn

Photosynthesis proceeds in two linked stages inside the chloroplast. The light-dependent reactions take place in the thylakoid membranes (organised into stacks called grana), where light energy splits water molecules, generates ATP, and reduces NADP⁺ to NADPH. The light-independent reactions (the Calvin cycle) take place in the stroma, where that ATP and NADPH are used to fix carbon dioxide into sugars.

The following shows the phases in mitosis.

Prophase → Phase two → Anaphase → Phase four Which row in the table below shows the correct processes occurring in Phase two and Phase four of mitosis?

Phase twoPhase four
row 1chromosomes line upnuclear envelope reforms
row 2spindle fibres contractchromosomes reach opposite poles
row 3DNA duplicates to form sister chromatidschromosomes are not visible
row 4DNA starts to condensechromatids separate and move to opposite poles
row 5homologous chromosomes line upcytoplasm of parent cell is divided into two daughter cells
  • Arow 1 and row 5 only
  • Brow 1 only
  • Crow 2 and row 3 only
  • Drow 5 only
  • Erow 4 only
Correct answer: B row 1 only

Full explanation

The four listed phases are prophase → metaphase (phase two) → anaphase → telophase (phase four). A row only counts if BOTH its phase-two entry and its phase-four entry are actually true – one right and one wrong still kills the row. Go through them:

Row 1: phase two says chromosomes line up – that’s the definition of metaphase, they align on the metaphase plate. Phase four says the nuclear envelope reforms – that’s a hallmark of telophase too. Both correct, row stands.

Row 2: phase four says chromosomes reach opposite poles – that’s describing anaphase, the pulling-apart itself, not telophase, which is the phase after they’ve already arrived. And spindle fibres contracting to pull chromatids apart is also an anaphase event, not something that happens at metaphase. Two mismatches.

Row 3: DNA duplicating to form sister chromatids happens during S-phase of interphase, well before mitosis even begins – it’s not a metaphase event at all. Rules the row out immediately.

Row 4: DNA starting to condense is a prophase event, the stage before metaphase, not metaphase itself. And chromatids separating and moving to opposite poles is anaphase, not telophase. Both entries are one phase too early.

Row 5: homologous chromosomes lining up describes metaphase I of meiosis – in mitosis, individual chromosomes line up singly, not as homologous pairs. And dividing the cytoplasm into two daughter cells is cytokinesis, a separate process that overlaps with but isn’t itself telophase.

Only row 1 survives both checks, so the correct answer is B: row 1 only.

Summary to learn

Mitosis proceeds through four main phases. In prophase, chromatin condenses into visible chromosomes (each made of two sister chromatids), the nuclear envelope begins breaking down, and spindle fibres start forming. In metaphase, chromosomes line up along the cell’s equator (the metaphase plate), attached to spindle fibres from opposite poles. In anaphase, sister chromatids separate and are pulled toward opposite poles of the cell. In telophase, the chromosomes decondense, a nuclear envelope reforms around each set, and the cell proceeds to divide its cytoplasm in cytokinesis.

In which of the following organelles do carbohydrates play a relevant role?

1 mitochondria 2 Golgi apparatus 3 chloroplasts

  • A1 and 3 only
  • B2 only
  • C1 and 2 only
  • D2 and 3 only
  • E1, 2 and 3
Correct answer: E 1,2 and 3

Full explanation

In mitochondria, glucose (a carbohydrate monomer) is the main fuel for cellular respiration, providing reactants for the Krebs cycle and oxidative phosphorylation.

In Golgi apparatus, proteins produced by the rough ER are modified by addition of carbohydrate tags (glycosylation) to direct them to their appropriate destinations.

In chloroplasts, light energy and water are used during photosynthesis to synthesize glucose.

Therefore, carbohydrates play a relevant role in all of the mentioned organelles.

Summary to learn

Carbohydrates play several distinct roles inside a cell: as an energy source broken down during cellular respiration in the mitochondria; as glycosylation tags — sugar chains attached to proteins in the Golgi apparatus that help direct or modify them; and as a direct product of photosynthesis, since chloroplasts build glucose during the light-independent reactions.

Chemistry

General, inorganic, organic & biochemistry · 12 questions
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Which of the following substances will form an alkaline solution when dissolved in water?

1 Na₂CO₃ 2 NaCl 3 NaHSO₄

  • A1, 2 and 3
  • B1 only
  • C1 and 2 only
  • D2 and 3 only
  • E1 and 3 only
Correct answer: B 1 only

Full explanation

Usually, strong acids form a weak conjugate base and weak acids form a strong conjugate base. This is the same case for bases.

1. Na₂CO₃ This is a salt formed from the reaction of a strong base (NaOH) and a weak acid (H₂CO₃). The Na⁺ ion, being the conjugate of a strong base, is a very weak acid and does not contribute significantly to the overall pH. On the other hand, the CO₃²⁻ ion is the conjugate base of a weak acid and is therefore relatively strong. It reacts with water to produce OH⁻ ions, making the solution alkaline.

2 NaCl This is a salt formed from the reaction of a strong base (NaOH) and a strong acid (HCl). Both the Na⁺ and Cl⁻ ions are conjugates of strong species, so they are extremely weak and do not hydrolyze in water. Thus, the pH of the solution remains neutral (around 7).

3 NaHSO₄ This salt comes from a strong acid (H₂SO₄) and a strong base (NaOH). Although both reactants are strong, H₂SO₄ is diprotic. After donating its first proton, the remaining HSO₄⁻ ion still has the potential to donate another proton. When NaHSO₄ dissolves in water, Na⁺ does not react with water, but HSO₄⁻ can donate a proton, making the solution acidic.

Therefore, only Na₂CO₃ forms an alkaline solution.

Summary to learn

A salt’s aqueous solution can be acidic, alkaline, or neutral depending on the strength of the acid and base it came from. A salt formed from a strong acid and a strong base gives a neutral solution. A salt whose anion is the conjugate base of a weak acid hydrolyses with water to release hydroxide ions, giving an alkaline solution. And an ion that can still donate a proton, such as HSO₄⁻ (which is amphiprotic), can act as a weak acid itself and give an acidic solution.

Lead(II) nitrate solution and potassium iodide solution react to form potassium nitrate in solution and a bright yellow precipitate of lead(II) iodide.

Which one of the following correctly represents the ionic equation for this chemical reaction?

  • APb²⁺(aq) + I⁻(aq) → PbI(s)
  • BPb²⁺(aq) + I²⁻(aq) → PbI(s)
  • CPb⁺(aq) + 2I⁻(aq) → PbI₂(s)
  • DPb²⁺(aq) + 2I⁻(aq) → PbI₂(s)
  • EPb⁺(aq) + I⁻(aq) → PbI(s)
Correct answer: D Pb²⁺(aq) + 2I⁻(aq) → PbI₂(s)

Full explanation

Lead(II) nitrate → contains Pb²⁺ (aq)

Potassium iodide → contains I⁻ (aq)

They form:

Potassium nitrate (soluble) Lead(II) iodide (PbI₂) → yellow precipitate We only include species that change state (i.e., form a solid or gas). Here, Pb²⁺ and I⁻ form a precipitate.

So, the correct ionic equation is Pb²⁺(aq) + 2I⁻(aq) → PbI₂(s)

Summary to learn

A precipitation reaction occurs when two soluble ionic compounds are mixed and some of their ions recombine into an insoluble solid. The net ionic equation for such a reaction identifies every ion actually present in solution, then removes the spectator ions — those that remain dissolved and unchanged on both sides — leaving only the ions that combine to form the precipitate, with formulas and charges balanced (for example, Pb²⁺ requires two I⁻ ions to form neutral PbI₂).

The formula of a molecule is CH₂CHCH₂CH₂COCH₂CHO.

Which functional groups given below are present in the molecule?

1 alkene 2 alcohol 3 aldehyde 4 ketone

  • A1, 3 and 4 only
  • B2, 3 and 4 only
  • C1 and 4 only
  • D1, 2 and 3 only
  • E3 and 4 only
Correct answer: A 1, 3 and 4 only

Full explanation

Given molecule : CH₂=CH–CH₂–CH₂–CO–CH₂–CHO

CH₂=CH– → This is a C=C double bond (Alkene group)

–CO– → a ketone group

–CHO → an aldehyde group

There is no -OH (hydroxyl) group.

So, functional groups 1, 3, and 4 are present.

Summary to learn

Identifying the functional groups in a condensed molecular formula usually requires expanding it into its full structure first: double bonds (C=C), hydroxyl groups (C−OH), and carbonyl groups (C=O, whose identity as an aldehyde, ketone, carboxylic acid, or ester depends on what else is attached) are often invisible in a compressed formula until every bond is drawn out explicitly.

Which of these particles have the same electronic structure?

1 ₁₂Mg²⁺ 2 ₁₀Ne 3 ₁₆S²⁻ 4 ₉F⁻ 5 ₃Li⁺

  • A1, 2 and 5 only
  • B2, 4 and 5 only
  • C1, 2 and 3 only
  • D3, 4 and 5 only
  • E1, 2 and 4 only
Correct answer: E 1, 2 and 4 only

Full explanation

To determine which particles have the same electronic structure, we need to find out how many electrons each particle has. Particles with the same number of electrons have the same electronic structure (electron configuration) and are called isoelectronic.

₁₂Mg²⁺

Atomic number: 12 → 12 protons. 2+ charge → 12 — 2 = 10 electrons.

₁₀Ne (neutral atom)

Atomic number: 10 → 10 electrons.

₁₆S²⁻

Atomic number: 16. 2− charge → 16 + 2 = 18 electrons.

₉F⁻

Atomic number: 9. 1− charge → 9 + 1 = 10 electrons.

₃Li⁺

Atomic number: 3. 1+ charge → 3 — 1 = 2 electrons.

So, particles 1, 2, and 4 have the same electronic structure.

Summary to learn

Two particles are isoelectronic when they have the same number of electrons. Because an atom’s proton count (its atomic number) never changes when it forms an ion, finding the electron count of a charged species starts from the atomic number and then subtracts electrons for each unit of positive charge, or adds electrons for each unit of negative charge.

A mixture of methanol and ethanoic acid is left until equilibrium is reached. The equation for this reaction is given below.

CH₃OH(l) + CH₃COOH(l) ⇌ CH₃COOCH₃(l) + H₂O(l) ΔH = -8.5 kJ mol⁻¹ The amount of CH₃OH in this mixture at equilibrium can be increased by:

1 adding more water to the mixture 2 raising the temperature of the mixture 3 adding sodium hydroxide to the mixture 4 adding a catalyst to the mixture

  • A2 and 4 only
  • B1 and 2 only
  • C1 and 3 only
  • D1, 2 and 3 only
  • E4 only
Correct answer: D 1, 2 and 3 only

Full explanation

CH₃OH(l) + CH₃COOH(l) ⇌ CH₃COOCH₃(l) + H₂O(l)

ΔH = -8.5 kJ mol⁻¹ (exothermic)

The question ask the option that increase the amount of CH₃OH at equilibrium. That means we want the equilibrium to shift to the left (toward methanol).

Analysis of the given choices

1. adding more water to the mixture

Water is a product and adding a product shifts the equilibrium to the left.

2. raising the temperature of the mixture

The reaction is exothermic and increasing temperature favors the endothermic (reverse) reaction. So, this would shift equilibrium to the left too.

3. adding sodium hydroxide to the mixture

NaOH is a strong base and will react with ethanoic acid (CH₃COOH), forming CH₃COO⁻ and H₂O. This removes ethanoic acid, a reactant, causing the equilibrium to shift to the left.

4. adding a catalyst to the mixture

A catalyst increases the rate of reaching equilibrium. It does not affect the position of equilibrium.

Therefore, options 1, 2 and 3 increase the amount of CH₃OH at equilibrium.

Summary to learn

Le Chatelier’s principle predicts how a system at equilibrium responds to a disturbance. Adding more of a product shifts the equilibrium back toward the reactants. Raising the temperature shifts equilibrium in whichever direction is endothermic (absorbs heat). Removing a reactant — even indirectly, through a side reaction that consumes it — shifts equilibrium toward producing more of what remains. A catalyst, by contrast, only changes how quickly equilibrium is reached; it never shifts the position of equilibrium itself.

The compounds carbon dioxide (CO₂), propane (C₃H₈) and ethanal (CH₃CHO) all have Mr = 44.

Which of the following lists correctly shows these compounds in the order that they become gases as their temperature rises from -100°C at the same pressure?

  • ACO₂, C₃H₈, CH₃CHO
  • BCH₃CHO, C₃H₈, CO₂
  • CCO₂, CH₃CHO, C₃H₈
  • DC₃H₈, CO₂, CH₃CHO
  • EC₃H₈, CH₃CHO, CO₂
Correct answer: A CO₂, C₃H₈, CH₃CHO

Full explanation

This is about boiling/melting points, or more broadly, intermolecular forces — the stronger the intermolecular forces, the higher the boiling point, so it becomes a gas later as temperature rises.

CO₂ is a linear, non-polar molecule. It has weak van der Waals forces as the only intermolecular force.

C₃H₈ is a non-polar alkane. It has van der Waals force as intermolecular force, but stronger than CO₂ due to the larger molecular surface.

CH₃CHO is a polar molecule and has dipole-dipole forces due to the polar carbonyl group. So, it will become gas last.

So, the trend is CO₂, C₃H₈, CH₃CHO .

Summary to learn

For molecules of similar molar mass, boiling point is governed by the strength of the dominant intermolecular force acting between them. Purely non-polar molecules held together only by weak London (dispersion) forces boil at the lowest temperatures. Larger non-polar molecules with more surface area for those dispersion forces, such as bigger alkanes, boil somewhat higher. Molecules with a genuine permanent dipole, from a polar group such as a carbonyl, experience dipole-dipole attraction on top of dispersion forces and so have the highest boiling point of the three.

A sample of lithium was completely reacted with water. The equation for this reaction is:

2Li(s) + 2H₂O(l) → 2LiOH(aq) + H₂(g)

The aqueous lithium hydroxide solution formed has a concentration of

0.10 mol/L.

What is its concentration in g/L?

(Aᵣ : Li = 7.0; O = 16.0; H = 1.0)

  • A240
  • B480
  • C4.8
  • D3.1
  • E2.4
Correct answer: E 2.4

Full explanation

Given :

Concentration of LiOH = 0.10 mol/L

We are asked to find the concentration in g/L

Molar mass of LiOH = 7.0 + 16.0 + 1.0 = 24.0 g/mol Concentration in g/L = mol/L × molar mass = 0.10×24.0 = 2.4 g/L

Summary to learn

Converting a concentration from mol/L to g/L requires multiplying by the substance’s molar mass — the sum of the atomic masses of every atom in its formula. This two-step conversion, moles into grams via molar mass, underlies most stoichiometry calculations.

An aqueous solution of NaOH has a concentration of 0.01 mol/L.

Given the ionic product of water is Kw = [H⁺][OH⁻] = 10⁻¹⁴ mol²/L² (at 25°C) and that the equation for pH is pH = –log₁₀ [H+], calculate the pH of the NaOH solution at 25°C.

  • A13
  • B11
  • C7
  • D14
  • E12
Correct answer: E 12

Full explanation

[NaOH] = 0.01 mol/L = 1 × 10⁻² mol/L

NaOH is a strong base, so it fully dissociates:

NaOH → Na+ + OH−

Therefore, [OH−] = 0.01 mol/L

Given : Kw = 10⁻¹⁴ mol²/L² at 25°C

[H+] = (Kw)/([OH -]) = (10⁻¹⁴)/(10⁻²) = 10⁻¹² mol/L

pH = –log₁₀ [H+] = –log₁₀ (10⁻¹²) = 12

pH = 12

Summary to learn

For a strong base, which fully dissociates in water, the hydroxide ion concentration [OH⁻] equals the base’s own concentration. From there, the water autoionisation constant Kw = [H⁺][OH⁻] (1×10⁻¹⁴ at 25°C) gives the hydrogen ion concentration [H⁺], and pH = −log₁₀[H⁺] converts that into the final pH value — three linked equilibrium relationships used one after another.

How many unbranched straight chain molecules are there with the molecular formula C₄H₈F₂ , but with different structural formulas?

  • A8
  • B4
  • C9
  • D12
  • E6
Correct answer: E 6

Full explanation

The question asks for the structural isomers of C₄H₈F₂. Since the molecule contains only single bonds, they are rotatable. So, we only count distinct structures and ignore duplicates due to symmetry or flipping the chain.

Possible straight chain structural isomers

IMAT 2016 question 49 figure

Numbering the unbranched chain C1–C2–C3–C4, the two fluorine atoms can be placed on the following pairs of carbons, each giving a distinct compound:

1,1-difluorobutane (both F on C1); 1,2-difluorobutane; 1,3-difluorobutane; 1,4-difluorobutane; 2,2-difluorobutane (both F on C2); 2,3-difluorobutane.

That gives 6 distinct structural isomers in total, so the correct answer is E: 6.

Summary to learn

Structural isomers of a substituted straight-chain molecule arise from placing substituents at different carbon positions along the chain. Because the chain can be numbered from either end, a substitution pattern and its mirror-image pattern (numbered from the opposite end) describe the very same molecule rather than two different ones, so the count of genuinely distinct isomers only includes patterns that are truly different from one another.

Identify the number of protons (p), neutrons (n) and electrons (e) present in the ion:

IMAT 2016 question 50 figure
  • Ap = 27 n = 25 e = 21
  • Bp = 24 n = 28 e = 24
  • Cp = 27 n = 25 e = 24
  • Dp = 24 n = 28 e = 21
  • Ep = 24 n = 24 e = 21
Correct answer: D p = 24 n = 28 e = 21

Full explanation

The isotope notation gives you everything you need before any calculation: the superscript, 52, is the mass number (protons plus neutrons together), the subscript, 24, is the atomic number (protons alone, which is what actually makes the element chromium), and the 3+ charge tells you the atom has lost three electrons.

Protons come straight off the atomic number: 24. That alone rules out A and C, which both quote p = 27 – that’s the proton count for a completely different element, not chromium.

Neutrons are mass number minus protons: 52 − 24 = 28. That rules out B, which pairs the correct proton count with n = 24 – just repeating the proton number instead of doing the subtraction.

Electrons: a neutral chromium atom would have 24, matching its protons, but the 3+ charge means three electrons have been removed: 24 − 3 = 21. This is where E almost gets there – it has the right protons (24) and the right electrons (21), but still has n = 24, having skipped the neutron subtraction entirely.

Putting the three together: p = 24, n = 28, e = 21. Therefore, the correct answer is D.

Summary to learn

Nuclide notation places the mass number (protons plus neutrons) as a superscript and the atomic number (protons) as a subscript, with any ionic charge shown alongside. From this notation: the number of protons always equals the atomic number; the number of neutrons equals the mass number minus the atomic number; and the number of electrons equals the proton count adjusted for charge — fewer electrons for a positive ion, more for a negative one.

Which of the following molecules contain bond angles of 180° in their gaseous states? (Atomic numbers: H = 1; Be = 4; C = 6; Cl = 17)

1 BeCl₂ 2 C₂H₂ 3 CCl₄

  • A1 and 3 only
  • B1 and 2 only
  • C1 only
  • D2 and 3 only
  • E2 only
Correct answer: B 1 and 2 only

Full explanation

1. BeCl₂

Central atom: Be (2 valence electrons)

Each Cl forms a single bond with Be → 2 bonding pairs, no lone pairs.

Electron geometry: linear

Bond angle: 180°

2. C₂H₂ Structure: H–C≡C–H Each carbon is sp-hybridized: 2 electron regions (one triple bond + one single bond)

Linear geometry around each C Bond angle: 180° 3. CCl₄ Central atom: C 4 bonding pairs (C–Cl bonds), no lone pairs Electron geometry: tetrahedral Bond angle: 109.5° Therefore, BeCl₂ and C₂H₂ contain bond angles of 180°.

Summary to learn

VSEPR theory predicts a molecule’s shape and bond angles from the number of electron-dense regions — bonding groups and lone pairs — around its central atom. Two such regions with no lone pairs gives a linear geometry with 180° bond angles, as in BeCl₂ or a carbon involved in a triple bond such as in C₂H₂. Four bonding pairs with no lone pairs gives a tetrahedral geometry with 109.5° bond angles. Lone pairs count as electron regions just as much as bonded atoms do, and they shape the geometry accordingly.

Five of the ions of vanadium are listed below:

1. VO₃⁻ 2. V³⁺ 3. V²⁺ 4. VO²⁺ 5. VO₂⁺

Which two ions have vanadium in the same oxidation state?

  • A2 and 5
  • B1 and 5
  • C3 and 4
  • D4 and 5
  • E1 and 3
Correct answer: B 1 and 5

Full explanation

1. VO₃⁻

Let vanadium = x

x + 3(O) = -1 → x + 3(2) = -1 → x = +5

2. V³⁺

This is a simple ion: Oxidation state of V = +3

3. V²⁺

Oxidation state of V = +2

4. VO²⁺

Let vanadium = x

x + O = +2 → x + (-2) = +2 → x = +4

5. VO₂⁺

Let vanadium = x

x + 2(O) = +1 → x + 2 (-2) = +1 → x = +5

VO₃⁻ and VO₂⁺ both have vanadium in the +5 oxidation state.

Summary to learn

An atom’s oxidation state within a polyatomic ion can be found algebraically: the oxidation states of every atom in the ion, each multiplied by how many atoms of that type are present, must sum to the ion’s overall charge. Oxygen is almost always assigned an oxidation state of −2, which makes it a reliable fixed point for solving the equation for an unknown element’s oxidation state.

Physics & Mathematics

Mechanics, electricity, thermodynamics, algebra & geometry · 8 questions
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A right-angled triangle has an area of 18 cm². One of the two shorter sides is twice the length of the other one. What is the length of the hypotenuse of the triangle?

  • A9√2 cm
  • B6√5 cm
  • C3√10 cm
  • D3√5 cm
  • E3√6 cm
Correct answer: C 3√10 cm

Full explanation

First, define variables for the two shorter sides (legs) of the right-angled triangle. Let the shorter side be x cm, so the other shorter side is twice as long, 2x cm.

The area of a right-angled triangle is given by: Area = ½ × base × height = ½ × x × 2x = x².

Given the area is 18 cm²: x² = 18 ⇒ x = √18 = 3√2 cm.

Therefore, the other side is: 2x = 2 × 3√2 = 6√2 cm.

Now, we can calculate the hypotenuse using the Pythagorean theorem: Hypotenuse = √(x² + (2x)²) = √((3√2)² + (6√2)²) = √(18 + 72) = √90 = 3√10 cm.

Hence, the correct answer is (C).

Summary to learn

For a right triangle whose two legs are in a fixed ratio to one another, the area formula (½ × base × height), written using both legs in terms of a single variable, gives that variable’s value directly. The Pythagorean theorem (a² + b² = c²) then gives the hypotenuse from the two now-known leg lengths — the area calculation and the Pythagorean theorem answer two separate parts of the same problem, in that order.

Which physical quantity can be measured in joules per metre?

  • Akinetic energy
  • Bmomentum
  • Cpower
  • Dwork
  • Eforce
Correct answer: E force

Full explanation

Joule (J) is the unit of energy or work, and metre (m) is the unit of distance. Therefore, joules per metre (J/m) represents energy per unit distance.

Let’s analyse the options: kinetic energy is a form of energy, so its unit is the Joule. Momentum is the product of mass and velocity, so its unit is kilogram-metre per second (kg·m/s). Power is work done per unit time, so its unit is Joule per second (J/s), or Watts. Work done is force times distance (W = F·d), so its unit is Joules (J).

Force is work per unit distance (F = W/d), so its unit is Joule per metre (J/m).

Hence, the correct answer is (E).

Summary to learn

Every physical quantity has units that follow from its defining formula: power equals work divided by time (giving joules per second, or watts); force equals work divided by distance (rearranged from work = force × distance, giving newtons); momentum equals mass times velocity (giving kilogram-metres per second). Matching a given combination of base units back to the quantity whose formula produces exactly those units is called dimensional analysis, a standard technique for identifying or checking a physical quantity.

Which one of the following is a simplification of the expression below? [where x ≠ ±1]

2x² − 1−1x − 1

  • A−1/(x + 1)
  • B2/(x − 1)
  • C(3 − x)/(x − 1)²
  • D1/(x² − 1)
  • E(3 − x)/[(x − 1)(x + 1)]
Correct answer: A −1/(x + 1)

Full explanation

Start by factoring the denominator of the first fraction. x² − 1 is a difference of two squares, so it splits into x² − 1 = (x − 1)(x + 1).

With that factored, the original expression looks like this:

2(x − 1)(x + 1)−1x − 1

To subtract two fractions they need a common denominator. The first one already has (x − 1)(x + 1) on the bottom; the second is missing the (x + 1) factor, so multiply its top and bottom by (x + 1):

2(x − 1)(x + 1)−x + 1(x − 1)(x + 1)

Now both fractions share the same denominator, so subtract the numerators directly:

2 − (x + 1)(x − 1)(x + 1)=1 − x(x − 1)(x + 1)

The numerator 1 − x is the same thing as −(x − 1) — check it by distributing the minus sign: −(x − 1) = −x + 1, which is exactly 1 − x. Writing it that way is the useful move here, because (x − 1) now appears in both the top and the bottom and cancels out:

−(x − 1)(x − 1)(x + 1)=−1x + 1

Hence, the correct answer is (A).

Summary to learn

Simplifying an expression that subtracts one algebraic fraction from another starts with factoring every denominator fully — including recognising a difference of two squares, such as x² − 1 = (x − 1)(x + 1) — since the factored form reveals the actual common denominator needed, rather than multiplying the original denominators together directly. Once the fractions share a denominator, their numerators combine directly; a numerator like 1 − x sitting over a denominator containing (x − 1) will often simplify further once a sign is flipped (1 − x = −(x − 1)), letting a common factor cancel.

The straight-line graph given by the equation x/4 + y/6 = 1 intersects the x-axis at A (a, 0) and the y-axis at B (0, b). A circle passes through A and B and has diameter AB. What are the coordinates of the centre of the circle?

  • A(2, 3)
  • B(3, 2)
  • C(6, 4)
  • D(4, 6)
  • E(0, 0)
Correct answer: A (2, 3)

Full explanation

Firstly, we find the coordinates of points A and B.

For A(a, 0), set y = 0: x/4 + 0/6 = 1 ⇒ x = 4 ⇒ A(4, 0).

For B(0, b), set x = 0: 0/4 + y/6 = 1 ⇒ y = 6 ⇒ B(0, 6).

Now, the centre of the circle is the midpoint of AB, since AB is the diameter: [(4 + 0)/2, (0 + 6)/2] = (2, 3).

Hence, the correct answer is (A).

Summary to learn

For any circle, the centre is simply the midpoint of any one of its diameters. If the two endpoints of a diameter are known — for instance, where a line crosses the x-axis and the y-axis — the centre’s coordinates are just the average of the two endpoints’ x-coordinates and the average of their y-coordinates; the full equation of the circle isn’t needed unless the radius or the equation itself is also being asked for.

A student has three 6.0 Ω resistors that can be connected together in any configuration. What are the maximum and minimum resistances that can be obtained by using one or more of these three resistors? [Assume the connections between the resistors have negligible resistance, the temperature of the resistors is constant, the resistors are used in a d.c. circuit and none of the resistors is short-circuited.]

  • Amaximum resistance: 6.0 Ω; minimum resistance: 2.0 Ω
  • Bmaximum resistance: 12 Ω; minimum resistance: 0.50 Ω
  • Cmaximum resistance: 6.0 Ω; minimum resistance: 0.50 Ω
  • Dmaximum resistance: 18 Ω; minimum resistance: 6.0 Ω
  • Emaximum resistance: 18.0 Ω; minimum resistance: 2.0 Ω
Correct answer: E maximum resistance: 18.0 Ω; minimum resistance: 2.0 Ω

Full explanation

To achieve the maximum resistance, connect all resistors in series: total resistance in series is Rmax = R₁ + R₂ + R₃ = 6.0 + 6.0 + 6.0 = 18.0 Ω.

To achieve the minimum resistance, connect all resistors in parallel: total resistance in parallel satisfies 1/Rmin = 1/R₁ + 1/R₂ + 1/R₃ = 1/6.0 + 1/6.0 + 1/6.0 = 3/6.0 = 1/2.0, so Rmin = 2.0 Ω.

Hence, the correct answer is (E).

Summary to learn

For a fixed set of identical resistors, connecting all of them in series gives the maximum possible total resistance, since resistances simply add (R_total = R₁ + R₂ + …). Connecting all of them in parallel gives the minimum possible total resistance, since their reciprocals add instead (1/R_total = 1/R₁ + 1/R₂ + …). These two configurations are the mathematical extremes; any mixed series-parallel arrangement of the same resistors falls somewhere between them.

The diagram shows a uniform horizontal beam of negligible mass, 5.0 m long, placed on two supports, one at each end. It has a 300 N weight placed 1.0 m from one end and a 500 N weight placed 1.0 m from the other end. Both weights act vertically on the beam as shown in the diagram. [Diagram: the beam spans 5.0 m between two triangular supports at each end. Moving left to right: 1.0 m from the left support, the 300 N weight hangs down; then a further 3.0 m along; then 1.0 m from the right support, the 500 N weight hangs down.] What are the upward forces from the two supports acting on the beam?

  • A340 N and 460 N
  • B300 N and 500 N
  • C240 N and 560 N
  • D400 N and 400 N
  • E360 N and 540 N
Correct answer: A 340 N and 460 N

Full explanation

Let the supports be at point A (left end) and B (right end). Taking moments about support A: the 300 N weight is placed 1.0 m from A, so its position is 1.0 m; the 500 N weight is placed 1.0 m from B, so its position is 4.0 m from A; support B exerts an upward force RB at 5.0 m from A.

The sum of moments about A must be zero for equilibrium, so the clockwise moments (due to the weights) equal the counter-clockwise moment (due to support B): 300 × 1.0 + 500 × 4.0 = RB × 5.0.

300 + 2000 = 5RB ⇒ RB = 2300/5 = 460 N.

Now, the sum of upward forces must equal the sum of downward forces: RA + RB = 300 + 500 ⇒ RA + 460 = 800 ⇒ RA = 800 − 460 = 340 N.

So, the upward force from support A is 340 N and from support B is 460 N.

Hence, the correct answer is (A).

Summary to learn

A rigid beam resting on two supports is in static equilibrium when the total force acting on it is zero and the total moment (torque) about any point is also zero. Taking moments about one support eliminates that support’s own force from the equation, since its distance from the pivot — and therefore its moment arm — is zero, which allows the other support’s force to be solved for directly. The first support’s force then follows from the simple condition that total upward force must equal total downward force (weight plus any load).

A ball is projected vertically upwards and then falls back to its original position. Once projected, the ball experiences only a single force, downwards, due to a constant gravitational field strength of 10 N/kg. Here are three statements about the ball: (1) When the ball is moving upwards it loses kinetic energy and gains potential energy. (2) The magnitude of the ball’s acceleration increases as it falls. (3) No vertical forces act on the ball when it is at its maximum height. Which of the statement(s) is/are correct?

  • A2 and 3 only
  • Bnone of them
  • C1 and 2 only
  • D3 only
  • E1 only
Correct answer: E 1 only

Full explanation

Let’s analyse each statement.

Statement 1: correct. As the ball rises, its speed decreases (so it loses kinetic energy) and its height increases (so it gains potential energy).

Statement 2: incorrect. The acceleration is constant (10 m/s² downward) due to gravity — it does not change as the ball falls.

Statement 3: incorrect. The gravitational force always acts downward on the ball, even at its maximum height.

So, only statement 1 is correct.

Hence, the correct answer is (E).

Summary to learn

In projectile motion under gravity alone, velocity, acceleration, and force behave differently throughout the flight. Velocity changes continuously, and its vertical component is momentarily zero only at the very peak of the trajectory. Acceleration stays constant throughout at g (9.8 m/s², directed downward), including at the peak, since gravity never stops acting. The gravitational force on the object is likewise constant and continuous through the whole flight, even during the instant the object is momentarily motionless at the top.

x = 3 × 10m and y = 5 × 10n, where m and n are integers. Which of the following is an expression, in scientific notation, for xy?

  • A8 × 10m+n
  • B1.5 × 10mn
  • C15 × 10m+n−1
  • D1.5 × 10mn+1
  • E1.5 × 10m+n+1
Correct answer: E 1.5 × 10m+n+1

Full explanation

First, multiply x and y: xy = (3 × 10m) × (5 × 10n) = 15 × 10m+n.

Now, convert to scientific notation: xy = 15 × 10m+n = 1.5 × 10 × 10m+n = 1.5 × 10m+n+1.

So, xy = 1.5 × 10m+n+1.

Hence, the correct answer is (E).

Summary to learn

Multiplying two numbers written in scientific notation means multiplying their coefficients together and adding their powers of ten separately, since a×10^m × b×10^n = (a×b)×10^(m+n). If the resulting coefficient isn’t between 1 and 10 — for example, coming out to 15 — it needs to be adjusted by shifting a factor of ten out of the coefficient and into the exponent before the result is properly expressed in scientific notation.

Frequently Asked Questions

Right here — every question from the IMAT 2016 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 2016 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.

Looking for more practice? Browse all IMAT Past Papers on LOCOMOTIVE.

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