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General Mental Ability Practice Set 06

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

Q135 percent of a number is 84. The number is:
  1. A220
  2. B240
  3. C260
  4. D280
Q2The average of the first five prime numbers is:
  1. A5.0
  2. B5.6
  3. C6.2
  4. D7.0
Q3A car covers 150 km at 50 km/h and the next 150 km at 75 km/h. Its average speed for the whole journey is:
  1. A60 km/h
  2. B62.5 km/h
  3. C65 km/h
  4. D67.5 km/h
Q4Find the missing term: 2, 6, 12, 20, 30, ?
  1. A36
  2. B40
  3. C42
  4. D44
Q5A sum is divided among A, B and C in the ratio 2 : 3 : 5. If C gets Rs 2000, the total sum is:
  1. ARs 3600
  2. BRs 4000
  3. CRs 4400
  4. DRs 4800
Q6If 12 men can do a piece of work in 18 days, how many men are needed to finish it in 12 days?
  1. A14
  2. B16
  3. C18
  4. D20
Q7The area of a rectangle is 96 square cm and its length is 12 cm. Its perimeter is:
  1. A36 cm
  2. B40 cm
  3. C44 cm
  4. D48 cm
Q8In a certain code, DELHI is written as 45128. Using the same logic where each letter maps to its position in the alphabet (A=1), how is INDIA written?
  1. A9 14 4 9 1
  2. B9 13 4 9 1
  3. C8 14 4 9 1
  4. D9 14 5 9 1
Q9An article costing Rs 800 is marked 25 percent above cost and then sold at a discount of 10 percent. The selling price is:
  1. ARs 880
  2. BRs 900
  3. CRs 920
  4. DRs 950
Q10Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man?
  1. ASister
  2. BMother
  3. CAunt
  4. DGrandmother
Q11The HCF of two numbers is 12 and their LCM is 144. If one number is 36, the other is:
  1. A36
  2. B44
  3. C48
  4. D60
Q12A person's salary increases by 10 percent and then again by 10 percent. The total increase over the original is:
  1. A20 percent
  2. B21 percent
  3. C22 percent
  4. D25 percent
Q13A clock loses 5 minutes every hour. If it is set correctly at 12 noon, what time will it show at the actual 6 pm?
  1. A5:30 pm
  2. B5:25 pm
  3. C5:20 pm
  4. D5:35 pm
Q14The volume of a cylinder of radius 7 cm and height 10 cm (take π = 22/7) is:
  1. A1540 cubic cm
  2. B1450 cubic cm
  3. C1340 cubic cm
  4. D1640 cubic cm
Q15Simple interest on Rs 5000 at 8 percent per annum for 3 years is:
  1. ARs 1000
  2. BRs 1100
  3. CRs 1200
  4. DRs 1400
Q16Find the odd one out: 11, 13, 15, 17, 19
  1. A13
  2. B15
  3. C17
  4. D19
Q17The sum of two numbers is 40 and their difference is 8. The larger number is:
  1. A22
  2. B24
  3. C26
  4. D28
Q18If P : Q = 3 : 4 and Q : R = 8 : 9, then P : R is:
  1. A2 : 3
  2. B3 : 9
  3. C24 : 36
  4. D1 : 2
Q19A shopkeeper sells an item at Rs 540, gaining 20 percent. The cost price was:
  1. ARs 420
  2. BRs 440
  3. CRs 450
  4. DRs 460
Q20A man walks 4 km north, then 3 km east. How far is he from the starting point?
  1. A5 km
  2. B6 km
  3. C7 km
  4. D8 km
Q21A class of 40 students has 25 boys. The percentage of girls in the class is:
  1. A30 percent
  2. B35 percent
  3. C37.5 percent
  4. D40 percent
Q22A bag has 4 red and 6 blue balls. The probability of drawing a red ball is:
  1. A2/5
  2. B3/5
  3. C1/2
  4. D1/4
Q23If today is Wednesday, what day will it be after 75 days?
  1. ASunday
  2. BMonday
  3. CTuesday
  4. DWednesday
Q24The present ages of A and B are in the ratio 3 : 5. If A is now 24 years old, B's present age is:
  1. A36
  2. B40
  3. C44
  4. D48
Q25Simplify: 18 / 6 + 4 × 3 - 5
  1. A10
  2. B12
  3. C14
  4. D16

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (b) 240
2 (b) 5.6
3 (a) 60 km/h
4 (c) 42
5 (b) Rs 4000
6 (c) 18
7 (b) 40 cm
8 (a) 9 14 4 9 1
9 (b) Rs 900
10 (b) Mother
11 (c) 48
12 (b) 21 percent
13 (a) 5:30 pm
14 (a) 1540 cubic cm
15 (c) Rs 1200
16 (b) 15
17 (b) 24
18 (a) 2 : 3
19 (c) Rs 450
20 (a) 5 km
21 (c) 37.5 percent
22 (a) 2/5
23 (b) Monday
24 (b) 40
25 (a) 10

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.35 percent of N = 84, so N = 84 × 100 / 35 = 8400 / 35 = 240. Answer (b). See percentage ratio and average.
  • Q2.The first five primes are 2, 3, 5, 7, 11. Sum = 28, average = 28/5 = 5.6. Answer (b). See number system and simplification.
  • Q3.Total distance = 300 km. Time = 150/50 + 150/75 = 3 + 2 = 5 hours. Average speed = 300/5 = 60 km/h. Answer (a). See time speed distance and time and work.
  • Q4.The terms are 1 × 2, 2 × 3, 3 × 4, 4 × 5, 5 × 6, so next is 6 × 7 = 42. Answer (c). See alphanumeric series and input output.
  • Q5.C's share is 5 parts = 2000, so one part = 400. Total = 10 parts = 4000. Answer (b). See percentage ratio and average.
  • Q6.Total work = 12 × 18 = 216 man-days. To finish in 12 days, men = 216/12 = 18. Answer (c). See time speed distance and time and work.
  • Q7.Breadth = area/length = 96/12 = 8 cm. Perimeter = 2(12 + 8) = 2 × 20 = 40 cm. Answer (b). See mensuration and geometry.
  • Q8.Mapping each letter to its alphabet position: I=9, N=14, D=4, I=9, A=1, giving 9 14 4 9 1. Answer (a). See logical reasoning.
  • Q9.Marked price = 800 × 1.25 = 1000. After 10 percent discount, selling price = 1000 × 0.90 = 900. Answer (b). See profit loss and interest.
  • Q10."The only daughter of my mother" is the woman herself, so the man's mother is the woman. Answer (b). See logical reasoning.
  • Q11.Product of the numbers = HCF × LCM = 12 × 144 = 1728. Other number = 1728/36 = 48. Answer (c). See number system and simplification.
  • Q12.Take 100. After +10 percent: 110. After +10 percent again: 110 × 1.10 = 121. Increase = 21 on 100 = 21 percent. Answer (b). See percentage ratio and average.
  • Q13.From 12 noon to 6 pm is 6 actual hours. The clock loses 5 minutes each hour, so it loses 30 minutes in 6 hours and shows 6 hours minus 30 minutes after noon, that is 5:30 pm. Answer (a). See clocks and calendars.
  • Q14.Volume = π × r2 × h = (22/7) × 49 × 10 = 22 × 7 × 10 = 1540 cubic cm. Answer (a). See mensuration and geometry.
  • Q15.SI = P × R × T / 100 = 5000 × 8 × 3 / 100 = 120000/100 = 1200. Answer (c). See profit loss and interest.
  • Q16.11, 13, 17 and 19 are prime; 15 = 3 × 5 is not prime, so it is the odd one. Answer (b). See number system and simplification.
  • Q17.Larger = (sum + difference)/2 = (40 + 8)/2 = 48/2 = 24. Answer (b). See number system and simplification.
  • Q18.P : Q = 3 : 4 = 6 : 8 and Q : R = 8 : 9, so P : Q : R = 6 : 8 : 9, giving P : R = 6 : 9 = 2 : 3. Answer (a). See percentage ratio and average.
  • Q19.Cost = selling price / 1.20 = 540/1.20 = 450. Answer (c). See profit loss and interest.
  • Q20.By Pythagoras, distance = square root of (42 + 32) = square root of (16 + 9) = square root of 25 = 5 km. Answer (a). See logical reasoning.
  • Q21.Girls = 40 - 25 = 15. Percentage = (15/40) × 100 = 37.5 percent. Answer (c). See data interpretation.
  • Q22.Total balls = 4 + 6 = 10. Probability of red = 4/10 = 2/5. Answer (a). See permutation combination and probability.
  • Q23.75 divided by 7 leaves a remainder of 5 (since 7 × 10 = 70). Counting 5 days forward from Wednesday: Thursday (1), Friday (2), Saturday (3), Sunday (4), Monday (5). So the day is Monday. Answer (b). See clocks and calendars.
  • Q24.A : B = 3 : 5 and A = 24 means one part = 24/3 = 8, so B = 5 × 8 = 40. Answer (b). See percentage ratio and average.
  • Q25.By order of operations: 18/6 = 3 and 4 × 3 = 12, so 3 + 12 - 5 = 10. Answer (a). See number system and simplification.

Cross-references

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