The GATE Grind

GATE Reasoning and Comprehension: Quantitative reasoning – Previous Year Questions

21 GATE previous year questions on Quantitative reasoning (Reasoning and Comprehension, Psychology (XH5)) with answers and explanations, from every paper.

  1. GATE 2026 XH5 (Psychology) Q12 (1 mark, Multiple choice) – Let ABC be an isosceles triangle with the base AB of length 8 units. Let CD be a perpendicular of length 4 units drawn from the vertex C onto the base…
  2. GATE 2026 XH5 (Psychology) Q19 (2 marks, Multiple choice) – Given the first four terms 30, 105, 385, 1001 in a sequence, which amongst the following is the fifth term of the sequence?
  3. GATE 2026 XH5 (Psychology) Q20 (2 marks, Multiple select) – Three players named Arun, Babita and Chandu play a game by tossing an unbiased coin in turn whose rules are as follows: Initially each player has 100…
  4. GATE 2026 XH5 (Psychology) Q24 (2 marks, Multiple select) – In a cricket match amongst 7 friends, named P1 – P7, P1 scored maximum individual runs of 25 and P7 scored minimum individual run of 0. No two friends…
  5. GATE 2026 XH5 (Psychology) Q25 (2 marks, Numerical answer) – A police station has six personnel comprising an inspector (I) and five constables (C 1, C 2, C 3, C 4, C 5). Normally, a ‘raid team’ of two, three,…
  6. GATE 2026 XH5 (Psychology) Q26 (2 marks, Numerical answer) – A man visits four relatives on a day. He purchases some sweets and gives a part of it to the first relative. Next, he purchases the same number of…
  7. GATE 2025 XH5 (Psychology) Q11 (1 mark, Multiple choice) – Which one of the following numbers is odd one out? 31541 42651 53791 64871 75981
  8. GATE 2025 XH5 (Psychology) Q16 (1 mark, Multiple choice) – A car started from city P at 9.40am. The time taken for the car to reach the city Q is 4 hours and 50 minutes. The time of arrival of the car at city…
  9. GATE 2025 XH5 (Psychology) Q17 (1 mark, Numerical answer) – P is three years younger than R but one year older than S. S is one year older than Q but 4 years younger than R. R is 15 years old. The age of Q is…
  10. GATE 2025 XH5 (Psychology) Q19 (2 marks, Multiple choice) – The table shows the data of 450 candidates who appeared in the examination of three subjects – Social Science, Mathematics, and Science. How many…
  11. GATE 2025 XH5 (Psychology) Q20 (2 marks, Multiple choice) – If means +, + means , - means , and means -, then 8 7 - 8 + 40 2 =
  12. GATE 2025 XH5 (Psychology) Q21 (2 marks, Multiple choice) – Given a series 5, 8, 11, 14, … If the nth term of the given series is 320, then n (where, n 1) is
  13. GATE 2025 XH5 (Psychology) Q22 (2 marks, Multiple choice) – Suppose, your last year taxable income was Rs. 22000. Due to hike in salary, your taxable income this year is Rs. 34200. The details for tax…
  14. GATE 2025 XH5 (Psychology) Q25 (2 marks, Numerical answer) – In the following figure, four overlapping shapes (rectangle, triangle, circle, and hexagon) are given. The sum of the numbers which belong to only two…
  15. GATE 2025 XH5 (Psychology) Q26 (2 marks, Numerical answer) – Consider a square field ABCD. The diagonal AC is 50 meter. The cost of laying grass in the field is Rs. 5 per square-meter. The total cost for laying…
  16. GATE 2023 XH5 (Psychology) Q15 (1 mark, Multiple choice) – The population of a country increased by 5% from 2020 to 2021. Then, the population decreased by 5% from 2021 to 2022. By what percentage did the…
  17. GATE 2023 XH5 (Psychology) Q19 (2 marks, Multiple choice) – Select the correct relation between E and F. E = x1+x and F = -x1-x, x > 1
  18. GATE 2023 XH5 (Psychology) Q25 (2 marks, Numerical answer) – A firm needs both skilled labour and unskilled labour for the production of cloth. The wage of skilled labour is Rs. 40,000 per month, and that of…
  19. GATE 2022 XH5 (Psychology) Q12 (1 mark, Multiple choice) – Three individuals are named P, Q, and R. Together they have a total of fifteen children of which nine are boys. P has three girls and Q has same…
  20. GATE 2022 XH5 (Psychology) Q17 (1 mark, Numerical answer) – There are three separate, but equal-sized boxes. Inside each box, there are two separate small boxes. Inside each of the small boxes, there are four…
  21. GATE 2022 XH5 (Psychology) Q26 (2 marks, Numerical answer) – A particular school management wants to contact all parents, all businessmen and all engineers. The following statistics are available with the…