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Previous year questions

14 of the 38 June 2023 questions here are solved and free to read — with the reasoning behind each option, not just the key.

Every PYQ, with the answer, free. The worked solution and the per-option trap analysis come with Trap Analysis.

Topic-wise weightage, counted from these papers → with the coverage of each paper shown

What changed between two papers → by share of each paper, not raw counts

Part A general aptitude → 30 of the 200 marks, and no mathematics

ClearUnlock every solution

67 questions match.

2024 JunePart Ashow ▾
In a class of 30 students, those with roll numbers 1 to 20 secure an average of 72% marks, while those with roll numbers 11 to 30 secure an average of 75% marks. If the average marks of the entire class are 70%, what is the average marks of roll numbers 11 to 20 (in percent)?
  1. A.68
  2. B.74
  3. C.78
  4. D.84✓

You have the answer. Trap Analysis is why the other three were written.

2024 JunePart Ashow ▾
The son was born when his mother was 28 years old. The father is older to the mother by 4 years. If the current ages of the father and mother are in the ratio 9:8, what is the current age (in years) of the son?
  1. A.2
  2. B.3
  3. C.4✓
  4. D.5

You have the answer. Trap Analysis is why the other three were written.

2024 JunePart Ashow ▾
In a class, among the boys B is taller than 10 boys, but shorter than 13 others. Among girls, G is taller than 6 girls, but shorter than 8 others. Two boys and three girls are shorter than B, but taller than G. If no two persons have the same height, then in the entire class, B is
  1. A.taller than 21, but shorter than 18 others
  2. B.taller than 20, but shorter than 18 others✓
  3. C.taller than 20, but shorter than 19 others
  4. D.taller than 19, but shorter than 19 others

You have the answer. Trap Analysis is why the other three were written.

2024 JunePart Ashow ▾
The hypotenuse of a right triangle, whose sides are integers, is 17 cm. Its area in sq.cm is
  1. A.not calculable due to insufficient data
  2. B.60✓
  3. C.68
  4. D.225

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Afreeshow ▾
In a test with multiple choice questions, candidates get 4 marks for a correct answer and lose 1 mark for an incorrect answer. Two candidates A and B attempting 18 and 13 questions, respectively, secure equal marks. How many more INCORRECT answers does A have compared to B?
  1. A.3
  2. B.4✓
  3. C.5
  4. D.6

Solution

If A answers x correctly, A scores 4x − (18 − x) = 5x − 18; B scores 5y − 13. Equal marks give 5(x − y) = 5, so x − y = 1. The gap in incorrect answers is (18 − x) − (13 − y) = 5 − (x − y) = 4.

2022 SeptemberPart Ashow ▾
A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be
  1. A.16th from the top and 26th from the bottom
  2. B.15th from the top and 26th from the bottom✓
  3. C.15th from the top and 27th from the bottom
  4. D.16th from the top and 27th from the bottom

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Afreeshow ▾
A 360 ml aqueous solution contains 40% alcohol. How much will be the approximate percentage of alcohol if 3600 ml of water is added to the solution?
  1. A.2.6
  2. B.3.6✓
  3. C.4.0
  4. D.1.0

Solution

The alcohol is 40% of 360 = 144 ml and does not change. The volume becomes 360 + 3600 = 3960 ml, so the concentration is 144/3960 = 40/11 ≈ 3.64%.

2022 SeptemberPart Ashow ▾
If 90 people are to be seated randomly in 15 rows of 6 seats each, what is the probability that a person gets a seat at either end of a row?
  1. A.1/2
  2. B.1/4
  3. C.1/3✓
  4. D.1/15

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Ashow ▾
Consider the following four statements. Statement 1: “Statement 3 is true.” Statement 2: “Statement 1 is true.” Statement 3: “Statement 1 is true and Statement 2 is false.” Statement 4: “Statements 1, 2 and 3 are false.” Which of the above statements must be true for the four statements to be mutually consistent?
  1. A.Statement 1
  2. B.Statement 2
  3. C.Statement 3
  4. D.Statement 4✓

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Ashow ▾
On a track of 200 m length, S runs from the starting point and R starts 20 m ahead of S at the same time. Both reach the end of the track at the same time. S runs at a uniform speed of 10 m/s. If R also runs at a uniform speed, then how much more time would R take to run the entire course?
  1. A.0.5 second
  2. B.1.0 second
  3. C.1.5 second
  4. D.2.2 seconds✓

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Ashow ▾
The arithmetic mean of five numbers is zero. The numbers may not be distinct. Which of the following must be true?
  1. A.The product of the numbers is zero
  2. B.At most two of these numbers are positive
  3. C.There cannot be exactly one zero
  4. D.There cannot be exactly one non-zero number✓

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Ashow ▾
Of all the English magazines published in a country, magazine M is read by the highest number of readers. It necessarily follows that
  1. A.M is the most popular English magazine published in the country.✓
  2. B.M is the most popular English magazine in the country.
  3. C.M is the most popular magazine in the country.
  4. D.The study has not considered the readership of English magazines published outside the country.

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Afreeshow ▾
The number of three digit PINs, in which the third digit is the sum of the first two digits, is
  1. A.55✓
  2. B.9
  3. C.45
  4. D.11

Solution

A PIN may begin with 0, so the first two digits a and b range over 0–9 subject only to a + b ≤ 9. The number of such pairs is C(11, 2) = 55, and each determines the third digit.

2022 SeptemberPart Ashow ▾
Consider a right angled triangle BAC, right angled at A, with medians CM and BL having the same length, where M is the midpoint of AB and L is the midpoint of AC. The ratio of the length of BC to that of ML is
  1. A.2✓
  2. B.3/4
  3. C.4/3
  4. D.1

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Ashow ▾
A battalion consists of elephants, horses and soldiers totaling to 3500. There are twice as many horses as elephants and one-fourth of the soldiers are riding these animals. In the stand still position, number of feet on ground is 7500. The number of horses in the battalion is
  1. A.525
  2. B.625
  3. C.550
  4. D.600✓

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Ashow ▾
The wholesale price per unit of an item is up to first 19 units. The unit price falls by 10% if 20 to 29 units are purchased and by another 10 % if 30 or more units are purchased. If 120 units are bought, the total price paid is approximately
  1. A.
  2. B.✓
  3. C.
  4. D.

You have the answer. Trap Analysis is why the other three were written.

2022 SeptemberPart Afreeshow ▾
A 5 kg watermelon contains 99% water by weight. Some of the water evaporates and the melon now contains 98% water by weight. What is the weight (in kg) of watermelon now?
  1. A.4.5
  2. B.2.5✓
  3. C.4.8
  4. D.4.9

Solution

The solid matter is 1% of 5 kg = 0.05 kg and does not evaporate. Afterwards it is 2% of the new weight W, so 0.05 = 0.02 W and W = 2.5 kg. Tracking the part that stays constant, rather than the water, is what makes this tractable.