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General Mental Ability Practice Set 01

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

Q1What is 15 percent of 480?
  1. A64
  2. B72
  3. C80
  4. D96
Q2A train 150 m long is running at 54 km/h. How long does it take to cross a pole?
  1. A8 seconds
  2. B10 seconds
  3. C12 seconds
  4. D15 seconds
Q3The average of 5 consecutive odd numbers is 27. What is the largest of them?
  1. A29
  2. B31
  3. C33
  4. D35
Q4If the ratio of two numbers is 3 : 4 and their sum is 84, the larger number is:
  1. A36
  2. B42
  3. C48
  4. D54
Q5A shopkeeper marks an item at 25 percent above cost and gives a 10 percent discount. His profit percent is:
  1. A10 percent
  2. B12.5 percent
  3. C15 percent
  4. D13.5 percent
Q6Find the simple interest on Rs 8000 at 6 percent per annum for 2 years.
  1. ARs 480
  2. BRs 960
  3. CRs 720
  4. DRs 1000
Q7A and B can do a piece of work in 12 days and 18 days respectively. Working together, they finish it in:
  1. A6.5 days
  2. B7.2 days
  3. C8 days
  4. D9 days
Q8What is the next number in the series: 2, 6, 12, 20, 30, ?
  1. A36
  2. B40
  3. C42
  4. D44
Q9If FRIEND is coded as GSJFOE, then how is MOTHER coded?
  1. ANPUIFS
  2. BNPUFIS
  3. COPUIFS
  4. DNQUIFS
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 compound interest on Rs 10,000 at 10 percent per annum for 2 years is:
  1. ARs 2000
  2. BRs 2100
  3. CRs 2200
  4. DRs 1900
Q12A man walks 5 km north, turns right and walks 3 km, then turns right and walks 5 km. How far is he from the starting point?
  1. A3 km
  2. B5 km
  3. C8 km
  4. D13 km
Q13The HCF of 24 and 36 is:
  1. A6
  2. B8
  3. C12
  4. D18
Q14If 20 men can build a wall in 30 days, how many days will 15 men take to build the same wall?
  1. A35 days
  2. B40 days
  3. C45 days
  4. D22.5 days
Q15A sum doubles itself in 8 years at simple interest. The rate of interest per annum is:
  1. A10 percent
  2. B12.5 percent
  3. C8 percent
  4. D15 percent
Q16Find the odd one out: 3, 5, 7, 9, 11
  1. A3
  2. B5
  3. C9
  4. D11
Q17The angle between the hour hand and minute hand of a clock at 3:00 is:
  1. A60°
  2. B75°
  3. C90°
  4. D120°
Q18A number when divided by 5 leaves a remainder of 3. What is the remainder when the same number is multiplied by 2 and then divided by 5?
  1. A1
  2. B2
  3. C3
  4. D4
Q19The selling price of an article is Rs 720 after a loss of 10 percent. The cost price was:
  1. ARs 760
  2. BRs 792
  3. CRs 800
  4. DRs 850
Q20If A = 1, B = 2 and so on up to Z = 26, what is the value of the letters in CAT added together?
  1. A24
  2. B26
  3. C23
  4. D22
Q21A class of 40 students has 60 percent boys. How many girls are there?
  1. A14
  2. B16
  3. C18
  4. D24
Q22Two numbers are in the ratio 5 : 7. If 8 is added to each, the ratio becomes 7 : 9. The smaller number is:
  1. A15
  2. B20
  3. C25
  4. D35
Q23What is the value of (0.6 × 0.6 × 0.6) + (0.4 × 0.4 × 0.4) divided by (0.6 × 0.6) - (0.6 × 0.4) + (0.4 × 0.4)?
  1. A0.2
  2. B0.5
  3. C1.0
  4. D0.24
Q24A car covers 60 km at 30 km/h and the next 60 km at 60 km/h. The average speed for the whole journey is:
  1. A40 km/h
  2. B45 km/h
  3. C48 km/h
  4. D50 km/h
Q25In a certain code, the result of "a # b" is written as the difference (a - b) followed immediately by the sum (a + b). If 5 # 3 = 28 and 7 # 2 = 59, then 8 # 4 = ?
  1. A412
  2. B48
  3. C124
  4. D312

Answer key

Reveal the answer key and full worked solutions
Q Answer
1 (b) 72
2 (b) 10 seconds
3 (b) 31
4 (c) 48
5 (b) 12.5 percent
6 (b) Rs 960
7 (b) 7.2 days
8 (c) 42
9 (a) NPUIFS
10 (b) Mother
11 (b) Rs 2100
12 (a) 3 km
13 (c) 12
14 (b) 40 days
15 (b) 12.5 percent
16 (c) 9
17 (c) 90°
18 (a) 1
19 (c) Rs 800
20 (a) 24
21 (b) 16
22 (b) 20
23 (c) 1.0
24 (a) 40 km/h
25 (a) 412

Worked solutions

Reveal the answer key and full worked solutions
  • Q1.15 percent of 480 = (15/100) × 480 = 0.15 × 480 = 72. Answer (b). See percentage ratio and average.
  • Q2.54 km/h = 54 × (5/18) = 15 m/s. Time to cross a pole = length / speed = 150 / 15 = 10 seconds. Answer (b). See time speed distance and time and work.
  • Q3.For 5 consecutive odd numbers, the middle one equals the average = 27. The numbers are 23, 25, 27, 29, 31, so the largest is 31. Answer (b). See percentage ratio and average.
  • Q4.Let the numbers be 3 × and 4x. Sum = 7x = 84, so x = 12. The larger is 4x = 48. Answer (c). See percentage ratio and average.
  • Q5.Take cost = 100. Marked price = 125. After 10 percent discount, selling price = 125 × 0.90 = 112.5. Profit = 112.5 - 100 = 12.5, so profit percent = 12.5 percent. Answer (b). See profit loss and interest.
  • Q6.Simple interest = (P × R × T) / 100 = (8000 × 6 × 2) / 100 = 96000 / 100 = 960. Answer (b). See profit loss and interest.
  • Q7.A's one-day work = 1/12, B's = 1/18. Together = 1/12 + 1/18. LCM of 12 and 18 is 36, so = 3/36 + 2/36 = 5/36 per day. Time = 36/5 = 7.2 days. Answer (b). See time speed distance and time and work.
  • Q8.The terms are products of consecutive integers: 1 × 2=2, 2 × 3=6, 3 × 4=12, 4 × 5=20, 5 × 6=30, next 6 × 7=42. Answer (c). See alphanumeric series and input output.
  • Q9.Each letter shifts forward by one position: F to G, R to S, I to J, E to F, N to O, D to E gives GSJFOE. So MOTHER becomes N, P, U, I, F, S = NPUIFS. Answer (a). See logical reasoning.
  • Q10."The only daughter of my mother" is the woman herself. So the man's mother is the woman, meaning the woman is the man's mother. Answer (b). See logical reasoning.
  • Q11.Compound interest for 2 years = P[(1 + R/100)2 - 1] = 10000[(1.1)2 - 1] = 10000(1.21 - 1) = 10000 × 0.21 = 2100. Answer (b). See profit loss and interest.
  • Q12.North 5, then right (east) 3, then right (south) 5. The two vertical legs of 5 km cancel (5 north then 5 south), leaving 3 km east of the start. Distance = 3 km. Answer (a). See logical reasoning.
  • Q13.24 = 23 × 3, 36 = 22 × 32. HCF = 22 × 3 = 12. Answer (c). See number system and simplification.
  • Q14.Work is constant: men × days = 20 × 30 = 600 man-days. With 15 men, days = 600 / 15 = 40. Answer (b). See time speed distance and time and work.
  • Q15.If a sum doubles, the interest equals the principal, so SI = P. SI = (P × R × T)/100 gives P = (P × R × 8)/100, so R = 100/8 = 12.5 percent. Answer (b). See profit loss and interest.
  • Q16.3, 5, 7, 11 are prime numbers; 9 = 3 × 3 is composite, so it is the odd one out. Answer (c). See number system and simplification.
  • Q17.At 3:00 the minute hand is at 12 and the hour hand at 3. Each hour mark is 30° apart, and 3 hours give 3 × 30 = 90°. Answer (c). See clocks and calendars.
  • Q18.The number is of the form 5k + 3. Multiply by 2: 10k + 6 = 10k + 5 + 1, which leaves remainder 1 on division by 5. Answer (a). See number system and simplification.
  • Q19.Selling price after 10 percent loss = 90 percent of cost = 720. Cost = 720 / 0.90 = 800. Answer (c). See profit loss and interest.
  • Q20.With A = 1, ..., C = 3, A = 1, T = 20. Sum = 3 + 1 + 20 = 24. Answer (a). See logical reasoning.
  • Q21.Boys = 60 percent of 40 = 24, so girls = 40 - 24 = 16. Answer (b). See data interpretation.
  • Q22.Let the numbers be 5 × and 7x. (5x + 8)/(7x + 8) = 7/9. Cross-multiply: 9(5x + 8) = 7(7x + 8), so 45x + 72 = 49x + 56, giving 16 = 4x, x = 4. Smaller = 5x = 20. Answer (b). See percentage ratio and average.
  • Q23.This is the identity (a3 + b3)/(a2 - ab + b2) = a + b, with a = 0.6 and b = 0.4. So the value = 0.6 + 0.4 = 1.0. Answer (c). See number system and simplification.
  • Q24.Average speed for equal distances = 2 × y/(x+y) = (2 × 30 × 60)/(30 + 60) = 3600/90 = 40 km/h. Answer (a). See time speed distance and time and work.
  • Q25.The rule is "(a - b) written before (a + b)". Check: 5 # 3 gives difference 2 and sum 8, written as 28 (correct); 7 # 2 gives difference 5 and sum 9, written as 59 (correct). For 8 # 4, difference = 4 and sum = 12, written together = 412. Answer (a). See logical reasoning.

Cross-references

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