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.
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
13 questions match.
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?
- A.3
- B.4✓
- C.5
- D.6
Solution
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
- A.16th from the top and 26th from the bottom
- B.15th from the top and 26th from the bottom✓
- C.15th from the top and 27th from the bottom
- 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?
- A.2.6
- B.3.6✓
- C.4.0
- 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?
- A.1/2
- B.1/4
- C.1/3✓
- 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?
- A.Statement 1
- B.Statement 2
- C.Statement 3
- 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?
- A.0.5 second
- B.1.0 second
- C.1.5 second
- 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?
- A.The product of the numbers is zero
- B.At most two of these numbers are positive
- C.There cannot be exactly one zero
- 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
- A.M is the most popular English magazine published in the country.✓
- B.M is the most popular English magazine in the country.
- C.M is the most popular magazine in the country.
- 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
- A.55✓
- B.9
- C.45
- 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
- A.2✓
- B.3/4
- C.4/3
- 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
- A.525
- B.625
- C.550
- 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
- A.
- B.✓
- C.
- 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?
- A.4.5
- B.2.5✓
- C.4.8
- 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.