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General Mental Ability Practice Set 08

Authored CAPF-level quantitative aptitude and reasoning MCQs with answer key and full worked solutions, not verbatim PYQs

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At a glance
PaperPaper ISubjectGeneral Mental Ability

Authored practice, not a verbatim PYQ. Twenty-five CAPF-level questions across arithmetic, reasoning, and data interpretation. Every solution is worked in full. Attempt closed-book, then check the key and worked solutions.

Questions

Q1A shirt priced at Rs 800 is sold at a 15 percent discount. The sale price is:
  1. ARs 640
  2. BRs 660
  3. CRs 680
  4. DRs 700
Q2The average of 10 numbers is 50. If each number is increased by 5, the new average is:
  1. A50
  2. B52
  3. C55
  4. D60
Q3A boat goes 24 km downstream in 2 hours and the same distance upstream in 3 hours. The speed of the boat in still water is:
  1. A8 km/h
  2. B9 km/h
  3. C10 km/h
  4. D12 km/h
Q4Find the next term: 1, 4, 9, 16, 25, ?
  1. A30
  2. B35
  3. C36
  4. D49
Q5A sum of Rs 6300 is split among three people so that the second gets twice the first and the third gets twice the second. The first person's share is:
  1. ARs 700
  2. BRs 900
  3. CRs 1200
  4. DRs 1400
Q64 pipes fill a tank in 9 hours. How many hours will 6 such pipes take?
  1. A4 hours
  2. B5 hours
  3. C6 hours
  4. D7 hours
Q7The area of a triangle with base 10 cm and height 6 cm is:
  1. A24 square cm
  2. B30 square cm
  3. C36 square cm
  4. D60 square cm
Q8If TABLE is coded as UBCMF (each letter moved one forward), then CHAIR is coded as:
  1. ADIBJS
  2. BDIBSJ
  3. CDJBIS
  4. DDIBJR
Q9A man buys 12 oranges for Rs 60 and sells them at Rs 6 each. His profit percent is:
  1. A15 percent
  2. B18 percent
  3. C20 percent
  4. D25 percent
Q10A is the brother of B. B is the sister of C. C is the father of D. How is A related to D?
  1. AFather
  2. BUncle
  3. CBrother
  4. DGrandfather
Q11The greatest number that divides 60 and 96 exactly is:
  1. A6
  2. B8
  3. C12
  4. D16
Q12A trader marks an article 50 percent above cost and offers a 20 percent discount. His gain percent is:
  1. A15 percent
  2. B20 percent
  3. C25 percent
  4. D30 percent
Q13How many times do the hour and minute hands of a clock form a right angle in 12 hours?
  1. A11
  2. B22
  3. C24
  4. D44
Q14The total surface area of a cube of side 5 cm is:
  1. A100 square cm
  2. B125 square cm
  3. C150 square cm
  4. D200 square cm
Q15A sum of Rs 8000 amounts to Rs 9600 in 2 years at simple interest. The annual rate is:
  1. A8 percent
  2. B9 percent
  3. C10 percent
  4. D12 percent
Q16Find the odd one out: 121, 144, 169, 180, 196
  1. A144
  2. B169
  3. C180
  4. D196
Q17The sum of three consecutive odd numbers is 81. The middle number is:
  1. A25
  2. B27
  3. C29
  4. D31
Q18If x : y = 5 : 8 and y : z = 4 : 7, then x : z is:
  1. A5 : 14
  2. B5 : 7
  3. C20 : 56
  4. D10 : 14
Q19A dealer sells two cycles at Rs 1200 each, gaining 20 percent on one and losing 20 percent on the other. His overall result is:
  1. ANo profit no loss
  2. BLoss of Rs 100
  3. CProfit of Rs 100
  4. DLoss of Rs 50
Q20In a queue, a person is 7th from the front and 13th from the back. The total number of people in the queue is:
  1. A18
  2. B19
  3. C20
  4. D21
Q21A table shows marks 40, 55, 65 and 60 in four subjects out of 100 each. The average percentage is:
  1. A50 percent
  2. B52 percent
  3. C55 percent
  4. D60 percent
Q22A die is rolled once. The probability of getting an even number is:
  1. A1/6
  2. B1/3
  3. C1/2
  4. D2/3
Q23If 15 August 2023 was a Tuesday, what day was 15 September 2023?
  1. AThursday
  2. BFriday
  3. CSaturday
  4. DSunday
Q24Five years ago, a man's age was 4 times his son's age. The son is now 15. The man's present age is:
  1. A40 years
  2. B45 years
  3. C50 years
  4. D55 years
Q25Simplify: 7 × 8 - 6 / 2 + 4
  1. A55
  2. B57
  3. C59
  4. D61

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (c) Rs 680
2 (c) 55
3 (c) 10 km/h
4 (c) 36
5 (b) Rs 900
6 (c) 6 hours
7 (b) 30 square cm
8 (a) DIBJS
9 (c) 20 percent
10 (b) Uncle
11 (c) 12
12 (b) 20 percent
13 (b) 22
14 (c) 150 square cm
15 (c) 10 percent
16 (c) 180
17 (b) 27
18 (a) 5 : 14
19 (b) Loss of Rs 100
20 (b) 19
21 (c) 55 percent
22 (c) 1/2
23 (b) Friday
24 (b) 45 years
25 (b) 57

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.Discount = 15 percent of 800 = 120. Sale price = 800 - 120 = 680. Answer (c). See percentage ratio and average.
  • Q2.Adding 5 to every number raises the average by 5, so the new average = 50 + 5 = 55. Answer (c). See percentage ratio and average.
  • Q3.Downstream speed = 24/2 = 12 km/h. Upstream speed = 24/3 = 8 km/h. Speed in still water = (12 + 8)/2 = 10 km/h. Answer (c). See time speed distance and time and work.
  • Q4.These are perfect squares 1, 4, 9, 16, 25, so the next is 62 = 36. Answer (c). See alphanumeric series and input output.
  • Q5.Let the first share = x. Then second = 2 × and third = 4x. Sum = 7x = 6300, so x = 900. Answer (b). See percentage ratio and average.
  • Q6.More pipes mean less time (inverse proportion). 4 × 9 = 36 pipe-hours. With 6 pipes, time = 36/6 = 6 hours. Answer (c). See time speed distance and time and work.
  • Q7.Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 square cm. Answer (b). See mensuration and geometry.
  • Q8.Each letter moves one place forward: C to D, H to I, A to B, I to J, R to S, giving DIBJS. Answer (a). See logical reasoning.
  • Q9.Cost of 12 oranges = 60, so cost per orange = 5. Selling price per orange = 6, profit per orange = 1, which is (1/5) × 100 = 20 percent. Answer (c). See profit loss and interest.
  • Q10.A is the brother of B and B is the sister of C, so A is also the brother of C. C is D's father, so A is D's uncle. Answer (b). See logical reasoning.
  • Q11.The greatest common divisor of 60 and 96: 60 = 22 × 3 × 5, 96 = 25 × 3, common = 22 × 3 = 12. Answer (c). See number system and simplification.
  • Q12.Cost = 100, marked = 150, after 20 percent discount selling price = 150 × 0.80 = 120. Gain = 20 on 100 = 20 percent. Answer (b). See profit loss and interest.
  • Q13.The hands are at right angles 22 times in 12 hours (twice each hour, but two of these merge over the 12-hour cycle, giving 22 rather than 24). Answer (b). See clocks and calendars.
  • Q14.Total surface area of a cube = 6 × side2 = 6 × 25 = 150 square cm. Answer (c). See mensuration and geometry.
  • Q15.Interest = 9600 - 8000 = 1600 over 2 years. Rate = (SI × 100)/(P × T) = (1600 × 100)/(8000 × 2) = 160000/16000 = 10 percent. Answer (c). See profit loss and interest.
  • Q16.121 = 112, 144 = 122, 169 = 132, 196 = 142 are perfect squares; 180 is not, so it is the odd one. Answer (c). See number system and simplification.
  • Q17.Three consecutive odd numbers sum to 81, so the middle one is 81/3 = 27 (the numbers are 25, 27, 29). Answer (b). See number system and simplification.
  • Q18.x : y = 5 : 8 and y : z = 4 : 7. Make y common: x : y = 5 : 8 and y : z = 8 : 14, so x : z = 5 : 14. Answer (a). See percentage ratio and average.
  • Q19.When two items are sold at the same price, one at +20 percent and one at -20 percent, there is always a loss of (202)/100 = 4 percent of the total selling price basis. Compute directly: cost of first = 1200/1.20 = 1000, cost of second = 1200/0.80 = 1500, total cost = 2500, total selling = 2400, loss = 100. Answer (b). See profit loss and interest.
  • Q20.Total = (front position) + (back position) - 1 = 7 + 13 - 1 = 19. Answer (b). See logical reasoning.
  • Q21.Average marks = (40 + 55 + 65 + 60)/4 = 220/4 = 55 out of 100, so 55 percent. Answer (c). See data interpretation.
  • Q22.Even numbers on a die are 2, 4, 6, that is 3 out of 6 outcomes, so probability = 3/6 = 1/2. Answer (c). See permutation combination and probability.
  • Q23.From 15 August to 15 September is 31 days (August has 31 days). 31 mod 7 = 3 odd days, so Tuesday + 3 = Friday. Answer (b). See clocks and calendars.
  • Q24.The son is now 15, so five years ago he was 10. Then the man was 4 × 10 = 40, so now the man is 40 + 5 = 45. Answer (b). See logical reasoning.
  • Q25.By order of operations: 7 × 8 = 56 and 6/2 = 3, so 56 - 3 + 4 = 57. Answer (b). See number system and simplification.

Cross-references

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