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General Mental Ability Practice Set 07

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

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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

Q1If 15 percent of a number is 90, then 40 percent of the same number is:
  1. A200
  2. B220
  3. C240
  4. D260
Q2The average of five numbers is 27. If one number is removed, the average of the remaining four becomes 25. The removed number is:
  1. A30
  2. B33
  3. C35
  4. D37
Q3A train 200 metres long crosses a pole in 10 seconds. Its speed is:
  1. A18 km/h
  2. B36 km/h
  3. C54 km/h
  4. D72 km/h
Q4Find the next term: 3, 6, 11, 18, 27, ?
  1. A36
  2. B38
  3. C40
  4. D42
Q5Two numbers are in the ratio 4 : 7. If their sum is 88, the larger number is:
  1. A49
  2. B52
  3. C56
  4. D60
Q6A and B together finish a job in 12 days. A alone can do it in 20 days. B alone will take:
  1. A24 days
  2. B28 days
  3. C30 days
  4. D32 days
Q7The perimeter of a square is 48 cm. Its area is:
  1. A121 square cm
  2. B144 square cm
  3. C169 square cm
  4. D196 square cm
Q8If FACE is coded as 6135, then HEAD is coded as:
  1. A8514
  2. B8541
  3. C8154
  4. D8451
Q9A man sells a watch at a loss of 10 percent. Had he sold it for Rs 90 more, he would have gained 5 percent. The cost price of the watch is:
  1. ARs 500
  2. BRs 600
  3. CRs 700
  4. DRs 800
Q10Introducing a man, a woman said, "He is the son of my husband's mother." How is the man related to the woman?
  1. ASon
  2. BBrother-in-law
  3. CFather
  4. DUncle
Q11The LCM of 8, 12 and 16 is:
  1. A36
  2. B48
  3. C64
  4. D96
Q12A trader allows a discount of 12.5 percent and still gains 25 percent. The marked price is what percent above the cost price?
  1. AAround 42.9 percent
  2. BAround 37.5 percent
  3. CAround 30 percent
  4. DAround 25 percent
Q13At what angle are the hands of a clock at 3 o'clock?
  1. A45°
  2. B60°
  3. C90°
  4. D120°
Q14A cuboidal tank is 4 m long, 3 m wide and 2 m deep. Its capacity in litres is:
  1. A12,000 litres
  2. B18,000 litres
  3. C24,000 litres
  4. D30,000 litres
Q15A sum doubles itself in 8 years at simple interest. The rate of interest per annum is:
  1. A10 percent
  2. B12.5 percent
  3. C15 percent
  4. D20 percent
Q16Find the odd one out: 8, 27, 64, 100, 125
  1. A27
  2. B64
  3. C100
  4. D125
Q17The product of two consecutive integers is 132. The smaller integer is:
  1. A10
  2. B11
  3. C12
  4. D13
Q18If A is twice as efficient as B and together they finish work in 12 days, A alone takes:
  1. A16 days
  2. B18 days
  3. C20 days
  4. D24 days
Q19A shopkeeper marks goods 40 percent above cost and gives a 25 percent discount. His profit percent is:
  1. A5 percent
  2. B10 percent
  3. C12 percent
  4. D15 percent
Q20In a row of 30 children, a boy is 12th from the left. His position from the right is:
  1. A17th
  2. B18th
  3. C19th
  4. D20th
Q21A pie chart of a budget of Rs 36,000 shows 25 percent on food. The amount spent on food is:
  1. ARs 8000
  2. BRs 9000
  3. CRs 10,000
  4. DRs 12,000
Q22A coin is tossed three times. The probability of getting exactly two heads is:
  1. A1/8
  2. B3/8
  3. C1/2
  4. D5/8
Q23If 1 January 2024 was a Monday, what day was 1 February 2024?
  1. AWednesday
  2. BThursday
  3. CFriday
  4. DSaturday
Q24The ratio of the present ages of a mother and daughter is 7 : 2. After 6 years it will be 8 : 3. The mother's present age is:
  1. A28 years
  2. B35 years
  3. C42 years
  4. D49 years
Q25Simplify: (12 + 8) / 4 × 3 - 2
  1. A11
  2. B13
  3. C15
  4. D17

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (c) 240
2 (c) 35
3 (d) 72 km/h
4 (b) 38
5 (c) 56
6 (c) 30 days
7 (b) 144 square cm
8 (a) 8514
9 (b) Rs 600
10 (b) Brother-in-law
11 (b) 48
12 (a) Around 42.9 percent
13 (c) 90°
14 (c) 24,000 litres
15 (b) 12.5 percent
16 (c) 100
17 (b) 11
18 (b) 18 days
19 (a) 5 percent
20 (c) 19th
21 (b) Rs 9000
22 (b) 3/8
23 (b) Thursday
24 (c) 42 years
25 (b) 13

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.15 percent of N = 90, so N = 90 × 100/15 = 600. Then 40 percent of 600 = 240. Answer (c). See percentage ratio and average.
  • Q2.Sum of five = 5 × 27 = 135. Sum of remaining four = 4 × 25 = 100. Removed number = 135 - 100 = 35. Answer (c). See percentage ratio and average.
  • Q3.Speed = distance/time = 200/10 = 20 m/s. Converting, 20 × 18/5 = 72 km/h. Answer (d). See time speed distance and time and work.
  • Q4.Differences are 3, 5, 7, 9, so the next difference is 11, giving 27 + 11 = 38. Answer (b). See alphanumeric series and input output.
  • Q5.Total parts = 4 + 7 = 11, so one part = 88/11 = 8. Larger = 7 × 8 = 56. Answer (c). See percentage ratio and average.
  • Q6.A's one-day work = 1/20. Combined one-day work = 1/12. B's one-day work = 1/12 - 1/20 = (5 - 3)/60 = 2/60 = 1/30. So B alone takes 30 days. Answer (c). See time speed distance and time and work.
  • Q7.Side = 48/4 = 12 cm. Area = 12 × 12 = 144 square cm. Answer (b). See mensuration and geometry.
  • Q8.Mapping by alphabet position: F=6, A=1, C=3, E=5 gives 6135. So HEAD: H=8, E=5, A=1, D=4 gives 8514. Answer (a). See logical reasoning.
  • Q9.Let cost = C. Loss price = 0.90C, gain price = 1.05C. Difference = 1.05C - 0.90C = 0.15C = 90, so C = 600. Answer (b). See profit loss and interest.
  • Q10."My husband's mother" is the mother-in-law; her son is the woman's husband's brother, that is her brother-in-law. Answer (b). See logical reasoning.
  • Q11.8 = 23, 12 = 22 × 3, 16 = 24. LCM takes the highest powers: 24 × 3 = 16 × 3 = 48. Answer (b). See number system and simplification.
  • Q12.Let cost = 100, so selling price = 125 (25 percent gain). Selling price is 87.5 percent of marked price after a 12.5 percent discount, so marked price = 125/0.875 = 142.857, about 42.9 percent above cost. Answer (a). See profit loss and interest.
  • Q13.At 3 o'clock the hour hand is at 3 and the minute hand at 12, three hour-divisions apart. Each division is 30°, so the angle is 3 × 30 = 90°. Answer (c). See clocks and calendars.
  • Q14.Volume = 4 × 3 × 2 = 24 cubic metres. Since 1 cubic metre = 1000 litres, capacity = 24,000 litres. Answer (c). See mensuration and geometry.
  • Q15.To double, the interest equals the principal. SI = P, so P = P × R × 8/100, giving R = 100/8 = 12.5 percent. Answer (b). See profit loss and interest.
  • Q16.8 = 23, 27 = 33, 64 = 43, 125 = 53 are perfect cubes; 100 is not, so it is the odd one. Answer (c). See number system and simplification.
  • Q17.11 × 12 = 132, so the smaller integer is 11. Answer (b). See number system and simplification.
  • Q18.A is twice as efficient as B, so if B does 1 unit a day, A does 2 units. Together they do 3 units a day and finish in 12 days, so total work = 36 units. A alone (2 units a day) takes 36/2 = 18 days. Answer (b). See time speed distance and time and work.
  • Q19.Let cost = 100. Marked price = 140. After 25 percent discount, selling price = 140 × 0.75 = 105. Profit = 5 on 100 = 5 percent. Answer (a). See profit loss and interest.
  • Q20.Position from the right = total - position from left + 1 = 30 - 12 + 1 = 19th. Answer (c). See logical reasoning.
  • Q21.25 percent of 36,000 = 36,000/4 = 9000. Answer (b). See data interpretation.
  • Q22.Three tosses give 8 equally likely outcomes. Exactly two heads occur in HHT, HTH, THH = 3 ways. Probability = 3/8. Answer (b). See permutation combination and probability.
  • Q23.January has 31 days. 31 days from Monday gives 31 mod 7 = 3 odd days, so 1 February is Monday + 3 = Thursday. Answer (b). See clocks and calendars.
  • Q24.Let the ages be 7 × and 2x. After 6 years: (7x + 6)/(2x + 6) = 8/3. Cross-multiplying: 3(7x + 6) = 8(2x + 6), so 21x + 18 = 16x + 48, giving 5x = 30, x = 6. Mother = 7 × 6 = 42 (check: after 6 years 48 : 18 = 8 : 3). Answer (c). See percentage ratio and average.
  • Q25.Brackets first: (12 + 8) = 20. Then 20/4 = 5, and 5 × 3 = 15, then 15 - 2 = 13. Answer (b). See number system and simplification.

Cross-references

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