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General Mental Ability Practice Set 02

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

Q1The average of the first 10 natural numbers is:
  1. A5
  2. B5.5
  3. C6
  4. D10
Q2A man buys an article for Rs 400 and sells it for Rs 500. His profit percent is:
  1. A20 percent
  2. B25 percent
  3. C30 percent
  4. D40 percent
Q3Two trains 120 m and 80 m long run on parallel tracks in opposite directions at 40 km/h and 32 km/h. The time they take to cross each other is:
  1. A8 seconds
  2. B10 seconds
  3. C12 seconds
  4. D14 seconds
Q4If 8 : x = x : 18, then x is:
  1. A10
  2. B12
  3. C13
  4. D26
Q5A sum of Rs 5000 amounts to Rs 5800 in 2 years at simple interest. The rate per annum is:
  1. A6 percent
  2. B7 percent
  3. C8 percent
  4. D9 percent
Q6Find the missing term: 1, 4, 9, 16, ?, 36
  1. A20
  2. B24
  3. C25
  4. D30
Q7A is the brother of B. B is the brother of C. C is the father of D. How is A related to D?
  1. AFather
  2. BUncle
  3. CBrother
  4. DGrandfather
Q8The LCM of 12, 15 and 20 is:
  1. A30
  2. B45
  3. C60
  4. D120
Q940 percent of a number is 56. The number is:
  1. A112
  2. B120
  3. C140
  4. D160
Q10A pipe fills a tank in 6 hours and another empties it in 8 hours. If both are open, the tank fills in:
  1. A18 hours
  2. B20 hours
  3. C24 hours
  4. D14 hours
Q11If TODAY is coded as UPEBZ, then how is NIGHT coded?
  1. AOJHIU
  2. BOJHUI
  3. COIHJU
  4. DMJHIU
Q12A clock shows 6:00. Through how many degrees does the hour hand move by 6:30?
  1. A10°
  2. B15°
  3. C18°
  4. D30°
Q13The price of sugar rises by 25 percent. By what percent must consumption fall to keep expenditure unchanged?
  1. A15 percent
  2. B20 percent
  3. C25 percent
  4. D22 percent
Q14A boat goes 12 km downstream in 1 hour and the same distance upstream in 2 hours. The speed of the stream is:
  1. A2 km/h
  2. B3 km/h
  3. C4 km/h
  4. D6 km/h
Q15Which of the following numbers is exactly divisible by 9?
  1. A12345
  2. B12350
  3. C12362
  4. D12375
Q16A father is three times as old as his son. After 12 years he will be twice as old. The son's present age is:
  1. A10 years
  2. B12 years
  3. C14 years
  4. D16 years
Q17Find the odd one out: Lion, Tiger, Leopard, Elephant
  1. ALion
  2. BTiger
  3. CLeopard
  4. DElephant
Q18The square root of 1764 is:
  1. A40
  2. B42
  3. C44
  4. D46
Q19A shopkeeper sells two items at Rs 990 each, gaining 10 percent on one and losing 10 percent on the other. The overall result is:
  1. ANo profit no loss
  2. BLoss of Rs 20
  3. CProfit of Rs 20
  4. DLoss of Rs 30
Q20In a row of 25 students, a boy is 7th from the left. What is his position from the right?
  1. A17th
  2. B18th
  3. C19th
  4. D20th
Q21In a survey of 200 people, 45 percent prefer tea and the rest prefer coffee. How many prefer coffee?
  1. A90
  2. B100
  3. C110
  4. D120
Q22The compound interest on a sum for 2 years is Rs 410 and simple interest is Rs 400 at the same rate. The rate of interest per annum is:
  1. A4 percent
  2. B5 percent
  3. C6 percent
  4. D2.5 percent
Q23If 1 January 2024 is a Monday, what day is 1 February 2024? (2024 is a leap year.)
  1. AWednesday
  2. BThursday
  3. CFriday
  4. DSaturday
Q24A can complete a task in 10 days and B in 15 days. They work together for 4 days, then A leaves. In how many more days will B finish the rest?
  1. A4 days
  2. B5 days
  3. C6 days
  4. D7 days
Q25Simplify: 36 / 6 + 4 × 3 - 5
  1. A11
  2. B13
  3. C15
  4. D17

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (b) 5.5
2 (b) 25 percent
3 (b) 10 seconds
4 (b) 12
5 (c) 8 percent
6 (c) 25
7 (b) Uncle
8 (c) 60
9 (c) 140
10 (c) 24 hours
11 (a) OJHIU
12 (b) 15°
13 (b) 20 percent
14 (b) 3 km/h
15 (d) 12375
16 (b) 12 years
17 (d) Elephant
18 (b) 42
19 (b) Loss of Rs 20
20 (c) 19th
21 (c) 110
22 (b) 5 percent
23 (b) Thursday
24 (b) 5 days
25 (b) 13

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.Average of first n natural numbers = (n + 1)/2 = (10 + 1)/2 = 5.5. Answer (b). See percentage ratio and average.
  • Q2.Profit = 500 - 400 = 100. Profit percent = (100/400) × 100 = 25 percent. Answer (b). See profit loss and interest.
  • Q3.In opposite directions, relative speed = 40 + 32 = 72 km/h = 72 × (5/18) = 20 m/s. Total length = 120 + 80 = 200 m. Time = 200 / 20 = 10 seconds. Answer (b). See time speed distance and time and work.
  • Q4.8 : x = x : 18 means x2 = 8 × 18 = 144, so x = 12. Answer (b). See percentage ratio and average.
  • Q5.Interest = 5800 - 5000 = 800 over 2 years. SI = (P × R × T)/100 gives 800 = (5000 × R × 2)/100 = 100R, so R = 8 percent. Answer (c). See profit loss and interest.
  • Q6.The series is squares: 1, 4, 9, 16, 25, 36. The missing term is 52 = 25. Answer (c). See alphanumeric series and input output.
  • Q7.A and B are brothers, B and C are brothers, so A and C are brothers. C is D's father, so A is D's uncle. Answer (b). See logical reasoning.
  • Q8.12 = 22 × 3, 15 = 3 × 5, 20 = 22 × 5. LCM = 22 × 3 × 5 = 60. Answer (c). See number system and simplification.
  • Q9.0.40 × N = 56, so N = 56 / 0.40 = 140. Answer (c). See percentage ratio and average.
  • Q10.Filling rate = 1/6 per hour, emptying rate = 1/8 per hour. Net = 1/6 - 1/8. LCM of 6 and 8 is 24, so = 4/24 - 3/24 = 1/24 per hour. Time to fill = 24 hours. Answer (c). See time speed distance and time and work.
  • Q11.Each letter shifts forward by one: T to U, O to P, D to E, A to B, Y to Z gives UPEBZ. So NIGHT becomes O, J, H, I, U = OJHIU. Answer (a). See logical reasoning.
  • Q12.The hour hand moves 360° in 12 hours, that is 0.5 degree per minute. In 30 minutes it moves 30 × 0.5 = 15°. Answer (b). See clocks and calendars.
  • Q13.Required fall in consumption = (rise / (100 + rise)) × 100 = (25 / 125) × 100 = 20 percent. Answer (b). See percentage ratio and average.
  • Q14.Downstream speed = 12/1 = 12 km/h, upstream speed = 12/2 = 6 km/h. Speed of stream = (downstream - upstream)/2 = (12 - 6)/2 = 3 km/h. Answer (b). See time speed distance and time and work.
  • Q15.A number is divisible by 9 if its digit sum is divisible by 9. Digit sums: 12345 gives 15, 12350 gives 11, 12362 gives 14, 12375 gives 1+2+3+7+5 = 18, which is divisible by 9. So only 12375 qualifies. Answer (d). See number system and simplification.
  • Q16.Let the son be x, father = 3x. After 12 years: 3x + 12 = 2(x + 12), so 3x + 12 = 2x + 24, giving x = 12. Son is 12 years old. Answer (b). See logical reasoning.
  • Q17.Lion, tiger and leopard belong to the cat family (Felidae); the elephant does not, so it is the odd one out. Answer (d). See logical reasoning.
  • Q18.422 = 1764 (402 = 1600 and 2 × 40 × 2 + 4 = 164, sum 1764). So the square root is 42. Answer (b). See number system and simplification.
  • Q19.When two items are sold at the same price with equal percentage gain and loss, there is always a net loss of (gain percent)2 / 100 percent of nothing simpler: compute directly. Item sold at 10 percent gain for 990 had cost 990/1.1 = 900. Item sold at 10 percent loss for 990 had cost 990/0.9 = 1100. Total cost = 2000, total sale = 1980, net loss = 20. Answer (b). See profit loss and interest.
  • Q20.Position from right = total - position from left + 1 = 25 - 7 + 1 = 19th. Answer (c). See logical reasoning.
  • Q21.Coffee preference = 100 - 45 = 55 percent of 200 = 0.55 × 200 = 110. Answer (c). See data interpretation.
  • Q22.For 2 years, CI - SI = P(R/100)2 and equals one year's interest on the first year's interest. CI - SI = 410 - 400 = 10. SI for one year = 400/2 = 200. The extra Rs 10 is interest on Rs 200 for one year, so rate = (10/200) × 100 = 5 percent. Answer (b). See profit loss and interest.
  • Q23.January has 31 days. 31 = 4 weeks and 3 odd days. Counting 3 days after Monday gives Tuesday, Wednesday, Thursday. So 1 February 2024 is a Thursday. Answer (b). See clocks and calendars.
  • Q24.A does 1/10 per day, B does 1/15 per day. Together = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6 per day. In 4 days they finish 4/6 = 2/3. Remaining = 1/3. B alone does 1/15 per day, so time = (1/3)/(1/15) = (1/3) × 15 = 5 days. Answer (b). See time speed distance and time and work.
  • Q25.Apply order of operations (division and multiplication before addition and subtraction): 36/6 = 6, 4 × 3 = 12. Then 6 + 12 - 5 = 13. Answer (b). See number system and simplification.

Cross-references

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