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
2024 DecemberPart Ashow ▾A monkey covers exactly 10 m on ground in each jump. What is the least number of jumps required to reach a distance 1 m away from where the monkey jumps first?
- A.1
- B.2✓
- C.3
- D.9
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾Cube root of 0.0125% is closest to
- A.0.005%
- B.0.05%
- C.0.5%
- D.5%✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾How many 5-digit numbers, using 0 to 9, can be generated such that '123' appears as a string and no digit appears more than once?
- A.228
- B.108
- C.156
- D.114✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾The diagrams show two orientations of a die having numbers 1 to 6 written on different faces. In the first orientation the visible faces are 3 on top, 4 on the front-left and 5 on the front-right; in the second, 4 on top, 2 on the front-left and 5 on the front-right. The number on the face opposite the face showing 3
- A.is 2✓
- B.is 1
- C.is 6
- D.cannot be determined from the given data
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾There are four containers of equal height, whose bases are a circle, a square, a rectangle and an equilateral triangle having the same area. Which one of the following statements about these containers is true?
- A.Their volumes are equal.✓
- B.Volume of the rectangular container is larger than that of the square container.
- C.Volume of the triangular container is smaller than that of the square container.
- D.Volume of the square container is larger than that of the circular container.
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾The diagrams show the rates of diamond and emerald in a range of sizes. Both graphs are straight lines through the origin: for diamond the price rises to 5 Lakh Rs/carat at a weight of 2.5 carat, and for emerald it rises to 2.5 Lakh Rs/carat at the same weight. A person wants to buy a diamond and an emerald of identical size for a total of Rs. 6,75,000/-. What is that size?
- A.1 carat
- B.1.5 carat✓
- C.2 carat
- D.2.5 carat
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾If A is B's daughter, B is C's brother and D is C's father, then what is A to D?
- A.Grandfather
- B.Grandmother
- C.Grandson
- D.Granddaughter✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾A block of marble 4 m × 3 m × 2 m in size is cut into square tiles of 1 m side having thickness of 10 cm. Assuming there is no wastage in cutting, how many tiles will be made?
- A.120
- B.240✓
- C.360
- D.480
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾A lady walks one-tenth of the total distance at 3 km/h, one-sixth she runs at 5 km/h, one-fifth at 6 km/h, and covers the remaining 16 km at 16 km/h by cycle. What is the total distance?
- A.14 km
- B.16 km
- C.24 km
- D.30 km✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾An OTP is made of six digits using 0 to 9. If three digits and their positions are known, what is the probability (in percentage) of discovering the full pin within 100 trials?
- A.10%✓
- B.20%
- C.30%
- D.40%
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾Ramesh is taller than Rajesh but not taller than Rupesh. Suresh's height is the average of the heights of Naresh and Rajesh. If Rajesh is taller than Naresh then who is the shortest among them?
- A.Suresh
- B.Naresh✓
- C.Rupesh
- D.Cannot be determined
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾The value of (1 − 1/2025)(1 − 1/2024)(1 − 1/2023)…(1 − 1/2001) is
- A.(1 − 1/79)
- B.(1 − 1/80)
- C.(1 − 1/81)✓
- D.(1 − 1/82)
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾One side and one diagonal of a rhombus are 13 cm and 24 cm, respectively. Then the area of the rhombus is
- A.90 cm
- B.100 cm
- C.110 cm
- D.120 cm✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾Two fair dice are thrown at random independently. What is the probability that the average of the values on their upper faces is 4?
- A.5/36✓
- B.1/6
- C.7/36
- D.2/9
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾The square of the geometric mean of two positive integers is 30. The smallest possible sum of the two integers is
- A.10
- B.11✓
- C.13
- D.17
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾An electric heater uses approximately 1 KWH for increasing temperature of 1 L water by 1°C. If the heating element has a rating of 10 KW, what is the time taken to raise the temperature of 1 L water by 1 °C?
- A.1 hour
- B.15 mins
- C.10 mins
- D.6 mins✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾Ten litre (L) milk contains 10% water. How much water should be added to increase its proportion to 20%?
- A.1 L
- B.1.25 L✓
- C.2 L
- D.2.25 L
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾If Asha's mother is Tanisha's daughter's aunt and Tanisha has no nephew, then Asha is Tanisha's
- A.mother
- B.niece✓
- C.grand mother
- D.sister
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾A chocolate bar of 5 cm length and 4 cm width has to be cut into 1 cm × 1 cm pieces. How many minimum cuts would be required, if pieces are to be taken one-by-one? (One can start by cutting along either length or width, before removing 1 cm × 1 cm pieces one by one)
- A.20
- B.19✓
- C.18
- D.10
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾If a map is placed in such a manner that southwest becomes east, then what will north become?
- A.Northeast
- B.Southwest✓
- C.Northwest
- D.Southeast
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾If water of pH 8 is diluted 100 times with neutral water (pH = 7) then it will
- A.become acidic.
- B.remain basic.✓
- C.become neutral.
- D.become heavy.
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾Fifteen distinct points are randomly placed on the circumference of a circle. How many distinct straight lines at the most can be formed by pairs among these points?
- A.105✓
- B.455
- C.30
- D.210
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾In a population of microbial cells, the initial population is 50, and the growth rate is 0.1 per hour. If the population grows exponentially, what will the approximate size of the population be after 10 hours?
- A.51
- B.82
- C.136✓
- D.156
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾The given figure shows data points and a line fit by least squares method between profit in ice-cream business and mean temperature (T) for a city. Printed on the figure are the fitted line Profit = 4T − 86 and the correlation coefficient r = 0.83. Which one of the following inferences can definitely be drawn?
- A.The sum of the squared values of differences between the observed and expected values of temperature is the minimum.
- B.83% of the variation in profit is explained by the variation in temperature.
- C.Rise in temperature causes profit to increase.
- D.At 25°C, estimated profit is 14 million ₹.✓
You have the answer. Trap Analysis is why the other three were written.
2024 DecemberPart Ashow ▾The average of seven numbers is 71. If we exclude one of these numbers, the average becomes 75. What is that number?
- A.75
- B.74
- C.73
- D.47✓
You have the answer. Trap Analysis is why the other three were written.