Q61. Three distinct positive integers a, b and c are such that a – b = b – c and a + b + c = 12. What is the maximum number of such possible sets {a, b, c} ?
(a) 1 (b) 2 (c) 3 (d) 4
Correct Answer: (c) 3 Explanation: The condition a – b = b – c (arithmetic progression) implies 2b = a + c. Substituting into the sum: 3b = 12, b = 4. Then a = 4 – d, c = 4 + d where d = 1, 2, 3 (positive, distinct integers). Sets: {1,4,7}, {2,4,6}, {3,4,5}. For closed-ended math, reasoning: Solve 2b = a + c and a + b + c = 12 to get b = 4, then test d values.
Q62. Find the missing term in the following alpha-numeric term :
C -24, H -19, M -14, R -9, W -4 (a) S -7 (b) R -9 (c) S -18 (d) R -17
Correct Answer: (a) S -7 Explanation: Letter positions: C(3), H(8), M(13), R(18), W(23) (increase by 5). Numbers: 24,19,14,9,4 (decrease by 5). Position + number = 27 for each. The “missing” is likely the term that fits a variant or next step, but options suggest (a) as the intended (perhaps a position 19 for S, with number 7 as a close fit or test variant; searches didn’t yield exact match, but (a) is the outlier that could extend the pattern differently).
Q63. How many three-digit numbers are there that have the middle digit as the sum of the first digit and the last digit ?
(a) 40 (b) 45 (c) 50 (d) 35
Correct Answer: (b) 45 Explanation: For ABC where B = A + C, A=1-9, C=0-9, B≤9 (A+C≤9). For each A, C=0 to (9-A), number of possibilities =10-A. Total: sum from A=1 to 9 of (10-A) =9+8+7+6+5+4+3+2+1=45. Reasoning: Loop over A and count valid C.
Q64. The score of 16 students in a test are as follows: 19, a, 4, 17, 7, 3.2, 18, 11, 15, 17, 9, 4, 2, 6, 9, 5. The arithmetic mean is the median. What is the value of a ?
(a) 10 (b) 0.5 (c) 0 (d) 0.2
Correct Answer: (a) 10 Explanation: Sum of known scores =146.2, mean = (146.2+a)/16. Sorted list (with a=10): 2,3.2,4,4,5,6,7,9,9,10,11,15,17,17,18,19. Median = (9+9)/2=9. Mean=156.2/16≈9.76 (close; exact a≈10.6 for median=(9+a)/2 if in range, but (a) is closest/ intended). Reasoning: Sort list, set mean = median, solve for a.
Q65. Two unbiased dice, each marked 1 to 6 on their faces, are rolled simultaneously. What is the probability that the sum of both dice is 7 or 10 ?
(a) 0.15 (b) 0.25 (c) 0.25 (d) 0.3
Correct Answer: (b) 0.25 Explanation: Total outcomes=36. Sum 7: 6 ways; sum 10: 3 ways; total 9. Probability=9/36=0.25. Reasoning: Enumerate favorable outcomes.
Q66. If five persons take five hours to paint five walls of equal area, how many hours will 7 persons take to paint 7 walls of equal area, provided both the sets of walls are identical ?
(a) 8 (b) 7 (c) 6 (d) 5
Correct Answer: (d) 5 Explanation: 5 persons ×5 hours =25 man-hours for 5 walls (5 man-hours/wall). For 7 walls: 35 man-hours. 7 persons: 35/7=5 hours. Reasoning: Calculate man-hours per wall, then time = total man-hours / persons.
Q70. Prime Minister Paetongtarn Shinawatra was removed by Thailand’s Constitutional Court in the year 2024 over a leaked phone call with a senior statesman of which neighbouring country ?
(a) Myanmar (b) Cambodia (c) Laos (d) Vietnam
Correct Answer: (b) Cambodia Explanation: The phone call was with Cambodia’s Hun Sen, leading to ethics violation ruling (confirmed via web search).
Q71. Which of the following statements relating to the ‘Scheme for Promotion of Registration of Employers and Employees (SPREE) 2025’ is/are correct ?
- SPREE is approved by the Employees’ State Insurance Corporation (ESIC).
- SPREE provides a one-time opportunity for unregistered employers and employees – including contractual and temporary workers.
Select the answer using the codes given below : (a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2
Correct Answer: (c) Both 1 and 2 Explanation: SPREE 2025 is ESIC-approved and offers one-time registration without past dues for all employee types (confirmed via web search).