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General Mental Ability Practice Set 09

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 the price of an item rises from Rs 50 to Rs 60, the percentage increase is:
  1. A10 percent
  2. B15 percent
  3. C20 percent
  4. D25 percent
Q2The average of 6 consecutive natural numbers is 13.5. The largest of them is:
  1. A14
  2. B15
  3. C16
  4. D17
Q3A cyclist covers 60 km in 4 hours. Maintaining the same speed, the time to cover 105 km is:
  1. A6 hours
  2. B7 hours
  3. C8 hours
  4. D9 hours
Q4Find the missing term: 5, 10, 20, 40, ?, 160
  1. A60
  2. B70
  3. C80
  4. D100
Q5Rs 5400 is divided between A and B so that A gets two-thirds of what B gets. A's share is:
  1. ARs 2160
  2. BRs 2400
  3. CRs 3000
  4. DRs 3240
Q615 workers can complete a task in 24 days. After 6 days, 5 workers leave. The remaining work is finished in:
  1. A24 days
  2. B27 days
  3. C30 days
  4. D36 days
Q7The circumference of a circle is 88 cm (take π = 22/7). Its radius is:
  1. A7 cm
  2. B12 cm
  3. C14 cm
  4. D21 cm
Q8If in a code MOUSE is written as NPVTF, then TIGER is written as:
  1. AUJHFS
  2. BUJHFR
  3. CUIHFS
  4. DUJGFS
Q9By selling an article for Rs 450, a shopkeeper loses 10 percent. To gain 10 percent, he should sell it for:
  1. ARs 500
  2. BRs 540
  3. CRs 550
  4. DRs 560
Q10Pointing to a boy, Suresh said, "He is the son of my father's only daughter." How is the boy related to Suresh?
  1. ASon
  2. BNephew
  3. CBrother
  4. DCousin
Q11The smallest number which when divided by 12, 16 and 24 leaves no remainder is:
  1. A36
  2. B48
  3. C60
  4. D72
Q12A man invests Rs 10,000 at 6 percent per annum compound interest. The amount after 2 years is:
  1. ARs 11,200
  2. BRs 11,236
  3. CRs 11,300
  4. DRs 11,360
Q13At what time between 2 and 3 o'clock will the hands of a clock be opposite (180° apart)?
  1. AAbout 2:33
  2. BAbout 2:38
  3. CAbout 2:43
  4. DAbout 2:48
Q14The diagonal of a square is 10 square root 2 cm. Its area is:
  1. A50 square cm
  2. B100 square cm
  3. C120 square cm
  4. D144 square cm
Q15The difference between simple interest and compound interest on Rs 5000 for 2 years at 10 percent per annum is:
  1. ARs 25
  2. BRs 50
  3. CRs 75
  4. DRs 100
Q16Find the odd one out: 2, 3, 5, 7, 9
  1. A3
  2. B5
  3. C7
  4. D9
Q17If the sum of two numbers is 25 and their product is 144, the numbers are:
  1. A9 and 16
  2. B8 and 18
  3. C12 and 13
  4. D10 and 15
Q18If A : B = 1 : 2 and B : C = 3 : 4, then A : B : C is:
  1. A1 : 2 : 4
  2. B3 : 6 : 8
  3. C1 : 3 : 4
  4. D3 : 2 : 4
Q19A fruit seller buys mangoes at Rs 10 each and sells them at Rs 12 each. His profit percent is:
  1. A15 percent
  2. B18 percent
  3. C20 percent
  4. D22 percent
Q20A man faces north, turns 90° clockwise, then 180° anticlockwise. He now faces:
  1. ANorth
  2. BEast
  3. CSouth
  4. DWest
Q21In a survey of 200 people, 60 percent preferred tea. The number preferring tea is:
  1. A100
  2. B110
  3. C120
  4. D130
Q22Two coins are tossed together. The probability of getting at least one head is:
  1. A1/4
  2. B1/2
  3. C3/4
  4. D1
Q23A year that is divisible by 4 but not by 100 (unless also by 400) is a leap year. Which of the following is a leap year?
  1. A1900
  2. B2010
  3. C2024
  4. D2100
Q24The sum of the ages of a father and son is 60 years. Six years ago the father was five times as old as the son. The son's present age is:
  1. A10 years
  2. B12 years
  3. C14 years
  4. D16 years
Q25Simplify: 36 / (6 + 3) × 2 + 1
  1. A7
  2. B9
  3. C11
  4. D13

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (c) 20 percent
2 (c) 16
3 (b) 7 hours
4 (c) 80
5 (a) Rs 2160
6 (b) 27 days
7 (c) 14 cm
8 (a) UJHFS
9 (c) Rs 550
10 (b) Nephew
11 (b) 48
12 (b) Rs 11,236
13 (c) About 2:43
14 (b) 100 square cm
15 (b) Rs 50
16 (d) 9
17 (a) 9 and 16
18 (b) 3 : 6 : 8
19 (c) 20 percent
20 (d) West
21 (c) 120
22 (c) 3/4
23 (c) 2024
24 (c) 14 years
25 (b) 9

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.Increase = 60 - 50 = 10 on 50, which is (10/50) × 100 = 20 percent. Answer (c). See percentage ratio and average.
  • Q2.Six consecutive numbers average 13.5, so the sum = 6 × 13.5 = 81. The numbers are 11, 12, 13, 14, 15, 16 (check: their sum is 81). Largest = 16. Answer (c). See percentage ratio and average.
  • Q3.Speed = 60/4 = 15 km/h. Time for 105 km = 105/15 = 7 hours. Answer (b). See time speed distance and time and work.
  • Q4.Each term doubles the previous one: 40 × 2 = 80, and 80 × 2 = 160 confirms it. Answer (c). See alphanumeric series and input output.
  • Q5.A gets two-thirds of B, so A : B = 2 : 3. Total parts = 5, one part = 5400/5 = 1080. A = 2 × 1080 = 2160. Answer (a). See percentage ratio and average.
  • Q6.Total work = 15 × 24 = 360 worker-days. In 6 days, 15 workers do 90 worker-days, leaving 270. With 10 workers, the remaining time = 270/10 = 27 days. Answer (b). See time speed distance and time and work.
  • Q7.Circumference = 2 × π × r, so 88 = 2 × (22/7) × r, giving r = 88 × 7 / 44 = 616/44 = 14 cm. Answer (c). See mensuration and geometry.
  • Q8.Each letter shifts one forward: T to U, I to J, G to H, E to F, R to S, giving UJHFS. Answer (a). See logical reasoning.
  • Q9.Loss of 10 percent at Rs 450 means cost = 450/0.90 = 500. To gain 10 percent, sell at 500 × 1.10 = 550. Answer (c). See profit loss and interest.
  • Q10."My father's only daughter" is Suresh's sister (assuming Suresh is male). Her son is Suresh's nephew. Answer (b). See logical reasoning.
  • Q11.This is the LCM of 12, 16 and 24. 12 = 22 × 3, 16 = 24, 24 = 23 × 3. LCM = 24 × 3 = 48. Answer (b). See number system and simplification.
  • Q12.Amount = P(1 + r/100)t = 10000 × (1.06)2 = 10000 × 1.1236 = 11,236. Answer (b). See profit loss and interest.
  • Q13.The hands are opposite at 2 hours plus (10 + 30)/(11/2) minutes. Using the formula, the minute hand is 180° ahead of the hour hand at 2 hours when minutes = (30 × 2 + 180) / (11/2) = (60 + 180) × 2/11 = 240 × 2/11 = 480/11 = about 43.6 minutes, that is about 2:43. Answer (c). See clocks and calendars.
  • Q14.For a square, diagonal = side × square root 2, so side = 10. Area = side2 = 100 square cm. Answer (b). See mensuration and geometry.
  • Q15.The difference for 2 years = P × (r/100)2 = 5000 × (10/100)2 = 5000 × 0.01 = 50. Answer (b). See profit loss and interest.
  • Q16.2, 3, 5 and 7 are prime; 9 = 3 × 3 is not prime, so it is the odd one. Answer (d). See number system and simplification.
  • Q17.We need two numbers with sum 25 and product 144. Try 9 and 16: 9 + 16 = 25 and 9 × 16 = 144. Answer (a). See number system and simplification.
  • Q18.A : B = 1 : 2 = 3 : 6 and B : C = 3 : 4 = 6 : 8, so A : B : C = 3 : 6 : 8. Answer (b). See percentage ratio and average.
  • Q19.Profit per mango = 12 - 10 = 2 on a cost of 10, which is (2/10) × 100 = 20 percent. Answer (c). See profit loss and interest.
  • Q20.Facing north, a 90-degree clockwise turn faces east. A 180-degree anticlockwise turn from east faces west. Answer (d). See logical reasoning.
  • Q21.60 percent of 200 = (60/100) × 200 = 120. Answer (c). See data interpretation.
  • Q22.Tossing two coins gives 4 outcomes: HH, HT, TH, TT. At least one head occurs in 3 of them, so probability = 3/4. Answer (c). See permutation combination and probability.
  • Q23.2024 is divisible by 4 and not by 100, so it is a leap year. 1900 and 2100 are divisible by 100 but not by 400, so they are not leap years; 2010 is not divisible by 4. Answer (c). See clocks and calendars.
  • Q24.Let the son's present age = s, father's = 60 - s. Six years ago: (60 - s - 6) = 5(s - 6), so 54 - s = 5s - 30, giving 84 = 6s, s = 14. Answer (c). See logical reasoning.
  • Q25.Brackets first: (6 + 3) = 9. Then 36/9 = 4, and 4 × 2 = 8, then 8 + 1 = 9. Answer (b). See number system and simplification.

Cross-references

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