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General Mental Ability Practice Set 05

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 is increased by 25 percent and then decreased by 20 percent. The net change is:
  1. ANo change
  2. B5 percent increase
  3. C5 percent decrease
  4. D10 percent increase
Q2The average of 4 consecutive even numbers is 15. The smallest of these numbers is:
  1. A10
  2. B12
  3. C14
  4. D16
Q3A train travels 360 km in 5 hours. To cover the same distance in 4 hours, its speed must increase by:
  1. A12 km/h
  2. B15 km/h
  3. C18 km/h
  4. D20 km/h
Q4Find the next term: 1, 1, 2, 3, 5, 8, ?
  1. A11
  2. B12
  3. C13
  4. D14
Q5A sum of Rs 12,000 is divided between A and B in the ratio 5 : 3. A's share is:
  1. ARs 4500
  2. BRs 6000
  3. CRs 7000
  4. DRs 7500
Q6If 6 workers can build a wall in 10 days working 8 hours a day, how many days will 8 workers take working 6 hours a day?
  1. A8 days
  2. B9 days
  3. C10 days
  4. D12 days
Q7A circle has a diameter of 14 cm. Its circumference (take π = 22/7) is:
  1. A22 cm
  2. B33 cm
  3. C44 cm
  4. D66 cm
Q8In a code, RAIN is written as SBJO. How is CLOUD written?
  1. ADMPVE
  2. BDMPEV
  3. CDNPVE
  4. DDMQVE
Q9A shopkeeper buys an article for Rs 1000 and sells it for Rs 1140. His profit percent is:
  1. A12 percent
  2. B14 percent
  3. C15 percent
  4. D16 percent
Q10Pointing to a photograph, Ravi said, "She is the daughter of my grandfather's only son." How is the girl related to Ravi?
  1. ASister
  2. BMother
  3. CAunt
  4. DCousin
Q11The product of two numbers is 1320 and their HCF is 6. Their LCM is:
  1. A200
  2. B220
  3. C240
  4. D260
Q12A man spends 75 percent of his income. If his income rises by 20 percent and expenditure by 10 percent, his savings increase by:
  1. A30 percent
  2. B40 percent
  3. C50 percent
  4. D25 percent
Q13At what time between 4 and 5 o'clock will the hands of a clock coincide approximately?
  1. AAbout 4:18
  2. BAbout 4:22
  3. CAbout 4:27
  4. DAbout 4:30
Q14A cube has a volume of 27 cubic cm. The length of its edge is:
  1. A2 cm
  2. B3 cm
  3. C4 cm
  4. D9 cm
Q15A reduction of 20 percent in the price of rice enables a person to buy 5 kg more for Rs 200. The reduced price per kg is:
  1. ARs 6
  2. BRs 8
  3. CRs 10
  4. DRs 12
Q16Find the odd one out: 64, 125, 216, 343, 400
  1. A125
  2. B216
  3. C343
  4. D400
Q17The sum of three consecutive multiples of 5 is 225. The largest of them is:
  1. A70
  2. B75
  3. C80
  4. D85
Q18If A : B = 2 : 3 and B : C = 4 : 5, then A : C is:
  1. A8 : 15
  2. B2 : 5
  3. C5 : 8
  4. D3 : 5
Q19A man buys 60 articles for Rs 1200. He sells 40 at a profit of 10 percent and the rest at a loss of 5 percent. His overall profit or loss is:
  1. AProfit of Rs 60
  2. BProfit of Rs 50
  3. CLoss of Rs 40
  4. DProfit of Rs 40
Q20How many times do the hands of a clock overlap in 12 hours?
  1. A10
  2. B11
  3. C12
  4. D24
Q21In a bar chart, sales were 50, 70, 60 and 80 units over four quarters. The average quarterly sales were:
  1. A60 units
  2. B65 units
  3. C70 units
  4. D75 units
Q22Two dice are thrown together. The probability of getting a total of 7 is:
  1. A1/6
  2. B1/9
  3. C5/36
  4. D1/12
Q23If Monday falls on the 1st of a 30-day month, how many Sundays are in that month?
  1. A3
  2. B4
  3. C5
  4. D6
Q24A father is now 4 times as old as his son. In 20 years he will be twice as old. The father's present age is:
  1. A30 years
  2. B36 years
  3. C40 years
  4. D48 years
Q25Simplify: 5 of 4 + 6 / 3 - 2 (here "of" means multiply)
  1. A18
  2. B20
  3. C22
  4. D24

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (a) No change
2 (b) 12
3 (c) 18 km/h
4 (c) 13
5 (d) Rs 7500
6 (c) 10 days
7 (c) 44 cm
8 (a) DMPVE
9 (b) 14 percent
10 (a) Sister
11 (b) 220
12 (c) 50 percent
13 (b) About 4:22
14 (b) 3 cm
15 (b) Rs 8
16 (d) 400
17 (c) 80
18 (a) 8 : 15
19 (a) Profit of Rs 60
20 (b) 11
21 (b) 65 units
22 (a) 1/6
23 (b) 4
24 (c) 40 years
25 (b) 20

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.Net change = +25 - 20 - (25 × 20)/100 = 25 - 20 - 5 = 0, so there is no net change. (Check directly: 100 -> 125 -> 125 × 0.80 = 100.) Answer (a). See percentage ratio and average.
  • Q2.For 4 consecutive even numbers, the average 15 lies between the second and third. The numbers are 12, 14, 16, 18 (average = (12+14+16+18)/4 = 60/4 = 15). Smallest = 12. Answer (b). See percentage ratio and average.
  • Q3.Original speed = 360/5 = 72 km/h. Required speed = 360/4 = 90 km/h. Increase = 90 - 72 = 18 km/h. Answer (c). See time speed distance and time and work.
  • Q4.This is the Fibonacci sequence; each term is the sum of the two before: 5 + 8 = 13. Answer (c). See alphanumeric series and input output.
  • Q5.Total parts = 5 + 3 = 8. A's share = (5/8) × 12,000 = 7500. Answer (d). See percentage ratio and average.
  • Q6.Total work in worker-hours = 6 × 10 × 8 = 480. With 8 workers at 6 hours a day, hours per day of work = 48. Days = 480 / 48 = 10. Answer (c). See time speed distance and time and work.
  • Q7.Circumference = π × diameter = (22/7) × 14 = 22 × 2 = 44 cm. Answer (c). See mensuration and geometry.
  • Q8.Each letter shifts forward by one: R to S, A to B, I to J, N to O gives SBJO. So CLOUD becomes D, M, P, V, E = DMPVE. Answer (a). See logical reasoning.
  • Q9.Cost is Rs 1000 and selling price is Rs 1140, so profit = 140 and profit percent = (140/1000) × 100 = 14 percent. Answer (b). See profit loss and interest.
  • Q10."My grandfather's only son" is Ravi's father. His daughter is therefore Ravi's sister. Answer (a). See logical reasoning.
  • Q11.Product = HCF × LCM, so LCM = product / HCF = 1320 / 6 = 220. Answer (b). See number system and simplification.
  • Q12.Take income 100, expenditure 75, savings 25. New income = 120, new expenditure = 75 × 1.10 = 82.5, new savings = 120 - 82.5 = 37.5. Increase in savings = 37.5 - 25 = 12.5 on 25, which is (12.5/25) × 100 = 50 percent. Answer (c). See percentage ratio and average.
  • Q13.Hands coincide when the minute hand catches the hour hand. Between 4 and 5, the overlap is at 4 hours plus (4 × 60)/11 minutes = 240/11 = about 21.8 minutes, that is about 4:22. Answer (b). See clocks and calendars.
  • Q14.Edge = cube root of 27 = 3 cm. Answer (b). See mensuration and geometry.
  • Q15.Reduced price is 80 percent of original. Let original price per kg = p. With Rs 200, original quantity = 200/p and new quantity = 200/(0.8p). The extra 5 kg gives 200/(0.8p) - 200/p = 5, that is 250/p - 200/p = 5, so 50/p = 5, p = 10. Reduced price = 0.8 × 10 = 8. Answer (b). See percentage ratio and average.
  • Q16.64 = 43, 125 = 53, 216 = 63, 343 = 73 are perfect cubes; 400 is not, so it is the odd one. Answer (d). See number system and simplification.
  • Q17.Let the multiples be 5n, 5n+5, 5n+10. Sum = 15n + 15 = 225, so 15n = 210, n = 14. Largest = 5n + 10 = 70 + 10 = 80. Answer (c). See number system and simplification.
  • Q18.A : B = 2 : 3 = 8 : 12, B : C = 4 : 5 = 12 : 15. So A : B : C = 8 : 12 : 15, giving A : C = 8 : 15. Answer (a). See percentage ratio and average.
  • Q19.Cost per article = 1200/60 = 20. 40 articles sold at 10 percent profit: gain = 40 × 20 × 0.10 = 80. 20 articles sold at 5 percent loss: loss = 20 × 20 × 0.05 = 20. Net = 80 - 20 = profit of Rs 60. Answer (a). See profit loss and interest.
  • Q20.In 12 hours the hands overlap 11 times (they coincide once each hour except that between 11 and 1 there is only one overlap, at 12). Answer (b). See clocks and calendars.
  • Q21.Average = (50 + 70 + 60 + 80)/4 = 260/4 = 65. Answer (b). See data interpretation.
  • Q22.Favourable outcomes for a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 outcomes out of 36. Probability = 6/36 = 1/6. Answer (a). See permutation combination and probability.
  • Q23.If the 1st is Monday, Sundays fall on the 7th, 14th, 21st and 28th. The 35th would be the next Sunday but the month has only 30 days, so there are 4 Sundays. Answer (b). See clocks and calendars.
  • Q24.Let son = x, father = 4x. In 20 years: 4x + 20 = 2(x + 20), so 4x + 20 = 2x + 40, giving 2x = 20, x = 10. Father = 4x = 40. Answer (c). See logical reasoning.
  • Q25."5 of 4" means 5 × 4 = 20, and 6/3 = 2. So 20 + 2 - 2 = 20. Answer (b). See number system and simplification.

Cross-references

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