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General Mental Ability Practice Set 03

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

Q1A number increased by 20 percent becomes 96. The number is:
  1. A76
  2. B80
  3. C84
  4. D88
Q2The average of 6 numbers is 30. If one number is removed, the average of the remaining 5 becomes 28. The removed number is:
  1. A38
  2. B40
  3. C42
  4. D44
Q3A man covers a distance of 240 km in 4 hours. His speed in m/s is:
  1. A15 m/s
  2. B16.67 m/s
  3. C20 m/s
  4. D25 m/s
Q4Find the next term: 5, 11, 23, 47, ?
  1. A71
  2. B95
  3. C94
  4. D96
Q5If A = 1, B = 2, ..., Z = 26, then the sum of the letters in DOG is:
  1. A24
  2. B26
  3. C25
  4. D27
Q6A sum of money trebles itself in 16 years at simple interest. The rate per annum is:
  1. A10 percent
  2. B12.5 percent
  3. C15 percent
  4. D16 percent
Q7The cost price of 12 articles equals the selling price of 10 articles. The profit percent is:
  1. A15 percent
  2. B18 percent
  3. C20 percent
  4. D25 percent
Q8Looking at a portrait, a man said, "His father is my father's son. I have no brothers or sisters." Whose portrait is it?
  1. AHis own
  2. BHis son's
  3. CHis father's
  4. DHis nephew's
Q9The value of 25 percent of 25 percent of 1600 is:
  1. A50
  2. B100
  3. C200
  4. D400
Q10Two numbers are in the ratio 4 : 5. If their LCM is 180, the smaller number is:
  1. A36
  2. B40
  3. C45
  4. D48
Q11A tap can fill a tank in 4 hours and another in 6 hours. Together they fill the tank in:
  1. A2 hours
  2. B2.4 hours
  3. C3 hours
  4. D5 hours
Q12In a code, M=1, O=2, N=3, D=4, A=5, Y=6, E=8 and R=9. Using these, how would you code MEND?
  1. A1845
  2. B1854
  3. C1485
  4. D1840
Q13A train running at 72 km/h crosses a platform 200 m long in 20 seconds. The length of the train is:
  1. A150 m
  2. B180 m
  3. C200 m
  4. D220 m
Q14The angle of a sector of a circle whose area is one-fourth of the whole circle is:
  1. A45°
  2. B60°
  3. C90°
  4. D120°
Q15A shopkeeper allows a discount of 20 percent and still gains 20 percent. The marked price is what percent above cost?
  1. A40 percent
  2. B50 percent
  3. C45 percent
  4. D60 percent
Q16Find the wrong term in: 2, 5, 10, 17, 26, 38
  1. A10
  2. B17
  3. C26
  4. D38
Q17A father is 30 years older than his son. In 6 years the father will be three times as old as the son. The son's present age is:
  1. A9 years
  2. B12 years
  3. C15 years
  4. D18 years
Q183/4 of a number is 60. What is 5/6 of the same number?
  1. A50
  2. B60
  3. C66.67
  4. D80
Q19A and B start from the same point and walk in opposite directions at 4 km/h and 5 km/h. After 3 hours the distance between them is:
  1. A9 km
  2. B12 km
  3. C27 km
  4. D15 km
Q20Which letter comes exactly midway between the 7th letter from the left and the 10th letter from the right in the English alphabet?
  1. AL
  2. BM
  3. CN
  4. DK
Q21A pie chart shows a family's monthly budget. If food is 90° of the circle and the total budget is Rs 40,000, the amount spent on food is:
  1. ARs 8000
  2. BRs 10,000
  3. CRs 12,000
  4. DRs 15,000
Q22A bag contains 3 red and 2 blue balls. The probability of drawing a red ball is:
  1. A2/5
  2. B3/5
  3. C1/2
  4. D1/5
Q23If the day before yesterday was Thursday, what day will it be the day after tomorrow?
  1. ASunday
  2. BMonday
  3. CTuesday
  4. DWednesday
Q2412 men can finish a job in 18 days. After 6 days, 6 more men join. In how many more days will the job finish?
  1. A6 days
  2. B8 days
  3. C9 days
  4. D12 days
Q25Simplify: (144 / 12) × (8 - 3) + 2
  1. A60
  2. B62
  3. C58
  4. D64

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (b) 80
2 (b) 40
3 (b) 16.67 m/s
4 (b) 95
5 (b) 26
6 (b) 12.5 percent
7 (c) 20 percent
8 (b) His son's
9 (b) 100
10 (a) 36
11 (b) 2.4 hours
12 (a) 1845
13 (c) 200 m
14 (c) 90°
15 (b) 50 percent
16 (d) 38
17 (a) 9 years
18 (c) 66.67
19 (c) 27 km
20 (a) L
21 (b) Rs 10,000
22 (b) 3/5
23 (b) Monday
24 (b) 8 days
25 (b) 62

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.N × 1.20 = 96, so N = 96 / 1.20 = 80. Answer (b). See percentage ratio and average.
  • Q2.Sum of 6 numbers = 6 × 30 = 180. Sum of remaining 5 = 5 × 28 = 140. Removed number = 180 - 140 = 40. Answer (b). See percentage ratio and average.
  • Q3.Speed = 240 km / 4 h = 60 km/h. Convert: 60 × (5/18) = 16.67 m/s. Answer (b). See time speed distance and time and work.
  • Q4.Each term is double the previous plus 1: 5 × 2 + 1 = 11, 11 × 2 + 1 = 23, 23 × 2 + 1 = 47, 47 × 2 + 1 = 95. Answer (b). See alphanumeric series and input output.
  • Q5.D = 4, O = 15, G = 7. Sum = 4 + 15 + 7 = 26. Answer (b). See logical reasoning.
  • Q6.If a sum trebles, the interest is twice the principal, so SI = 2P. 2P = (P × R × 16)/100 gives R = 200/16 = 12.5 percent. Answer (b). See profit loss and interest.
  • Q7.Cost of 12 = selling of 10. Let cost per article = 1, so cost of 10 articles = 10 and selling of 10 = 12. Profit on 10 articles = 12 - 10 = 2, profit percent = (2/10) × 100 = 20 percent. Answer (c). See profit loss and interest.
  • Q8."My father's son" with no brothers is the speaker himself. So the portrait's father is the speaker, meaning the portrait is of his son. Answer (b). See logical reasoning.
  • Q9.25 percent of 1600 = 400. 25 percent of 400 = 100. Answer (b). See percentage ratio and average.
  • Q10.Let the numbers be 4 × and 5x. Since 4 and 5 are co-prime, the LCM = 20x = 180, so x = 9. Smaller = 4x = 36. Answer (a). See number system and simplification.
  • Q11.Rates: 1/4 + 1/6 per hour. LCM of 4 and 6 is 12, so = 3/12 + 2/12 = 5/12 per hour. Time = 12/5 = 2.4 hours. Answer (b). See time speed distance and time and work.
  • Q12.Substitute each letter: M=1, E=8, N=3, D=4. So MEND = 1845. Answer (a). See logical reasoning.
  • Q13.72 km/h = 20 m/s. In 20 seconds the train covers 20 × 20 = 400 m, which equals train length plus platform. Train length = 400 - 200 = 200 m. Answer (c). See time speed distance and time and work.
  • Q14.A sector with area one-fourth of the circle subtends one-fourth of 360° = 90°. Answer (c). See mensuration and geometry.
  • Q15.Take cost = 100. After 20 percent gain, selling price = 120. This is 80 percent of the marked price (20 percent discount given), so marked price = 120 / 0.80 = 150. That is 50 percent above cost. Answer (b). See profit loss and interest.
  • Q16.The pattern is n2 + 1: 1+1=2, 4+1=5, 9+1=10, 16+1=17, 25+1=26, 36+1=37. The sixth term should be 37, not 38, so 38 is wrong. Answer (d). See alphanumeric series and input output.
  • Q17.Let son = x, father = x + 30. In 6 years: x + 30 + 6 = 3(x + 6), so x + 36 = 3x + 18, giving 18 = 2x, x = 9. Son is 9 years old. Answer (a). See logical reasoning.
  • Q18.(3/4)N = 60, so N = 80. Then (5/6) × 80 = 400/6 = 66.67. Answer (c). See number system and simplification.
  • Q19.Relative speed (opposite directions) = 4 + 5 = 9 km/h. In 3 hours, distance = 9 × 3 = 27 km. Answer (c). See time speed distance and time and work.
  • Q20.7th letter from the left is G (position 7). 10th from the right is position 26 - 10 + 1 = 17, which is Q. Midway between positions 7 and 17 is (7 + 17)/2 = 12, the 12th letter, which is L. Answer (a). See logical reasoning.
  • Q21.Food share = 90/360 = 1/4 of the budget = (1/4) × 40,000 = 10,000. Answer (b). See data interpretation.
  • Q22.Total balls = 3 + 2 = 5. P(red) = 3/5. Answer (b). See permutation combination and probability.
  • Q23.Day before yesterday was Thursday, so yesterday was Friday and today is Saturday. Tomorrow is Sunday and the day after tomorrow is Monday. Answer (b). See clocks and calendars.
  • Q24.Total work = 12 × 18 = 216 man-days. In first 6 days, 12 men do 12 × 6 = 72 man-days. Remaining = 216 - 72 = 144 man-days. Now 18 men work, so days = 144 / 18 = 8. Answer (b). See time speed distance and time and work.
  • Q25.144/12 = 12, 8 - 3 = 5, so 12 × 5 = 60, then 60 + 2 = 62. Answer (b). See number system and simplification.

Cross-references

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