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General Mental Ability Practice Set 04

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 simple interest on a sum for 3 years at 5 percent per annum is Rs 600. The principal is:

ARs 3000
BRs 3600
CRs 4000
DRs 4500

Q2If 35 percent of a number is 84, then 60 percent of that number is:

A120
B132
C144
D150

Q3Find the next term: 7, 14, 28, 56, ?

A84
B98
C112
D120

Q4A man's salary is increased by 10 percent and then decreased by 10 percent. The net change is:

ANo change
B1 percent decrease
C1 percent increase
D2 percent decrease

Q5The ratio of the ages of A and B is 5 : 7. Four years later the ratio will be 3 : 4. The present age of A is:

A20 years
B24 years
C28 years
D35 years

Q6A and B can finish a work in 20 days. B alone can do it in 30 days. In how many days can A alone do it?

A40 days
B50 days
C60 days
D70 days

Q7The perimeter of a square is 48 cm. Its area is:

A100 sq cm
B121 sq cm
C144 sq cm
D169 sq cm

Q8In a certain code, CAT is written as DBU. Using the same rule, DOG is written as:

AEPH
BEPF
CDPH
DCPH

Q9A train 200 m long passes a bridge 300 m long in 25 seconds. Its speed in km/h is:

Q10Statements: All pens are pencils. Some pencils are erasers. Conclusion which follows:

AAll pens are erasers
BSome pencils are pens
CNo pen is an eraser
DAll erasers are pens

Q11A vendor sells oranges at Rs 5 each and makes a 25 percent profit. The cost price of each orange is:

ARs 3.75
BRs 4
CRs 4.25
DRs 4.50

Q12The compound interest on Rs 4000 for 2 years at 5 percent per annum is:

ARs 400
BRs 410
CRs 420
DRs 440

Q13A clock loses 5 minutes every hour. After 12 hours, how much time will it show behind the correct time?

A30 minutes
B45 minutes
C60 minutes
D50 minutes

Q14The HCF and LCM of two numbers are 6 and 36. If one number is 12, the other is:

Q15A shopkeeper buys 100 eggs for Rs 200 and sells them at Rs 2.50 each. His profit percent is:

A20 percent
B25 percent
C30 percent
D50 percent

Q16Find the odd one out: 121, 144, 169, 175

A121
B144
C169
D175

Q17A man rows 30 km downstream and 18 km upstream, taking 3 hours each time. His rowing speed in still water is:

A6 km/h
B8 km/h
C10 km/h
D12 km/h

Q18If the radius of a circle is doubled, its area becomes:

ATwo times
BThree times
CFour times
DSame

Q19In a row, A is 11th from the left and 8th from the right. How many persons are in the row?

Q20The average of 5 numbers is 20. If each number is multiplied by 3, the new average is:

A20
B23
C60
D100

Q21A factory produced 1200 units in January and increased output by 15 percent in February. February output was:

A1320
B1350
C1380
D1400

Q22A bag has 4 white and 6 black balls. The probability of drawing a black ball is:

A2/5
B3/5
C2/3
D1/2

Q23What is the value of 2¹⁰?

A512
B1000
C1024
D2048

Q24A sum becomes Rs 1352 in 2 years at 4 percent compound interest. The principal is:

ARs 1200
BRs 1250
CRs 1300
DRs 1320

Q25Simplify: 18 + 6 / 2 × 3 - 4

Answer key

Reveal the answer key and full worked solutions

Q	Answer
1	(c) Rs 4000
2	(c) 144
3	(c) 112
4	(b) 1 percent decrease
5	(a) 20 years
6	(c) 60 days
7	(c) 144 sq cm
8	(a) EPH
9	(b) 72
10	(b) Some pencils are pens
11	(b) Rs 4
12	(b) Rs 410
13	(c) 60 minutes
14	(b) 18
15	(b) 25 percent
16	(d) 175
17	(b) 8 km/h
18	(c) Four times
19	(b) 18
20	(c) 60
21	(c) 1380
22	(b) 3/5
23	(c) 1024
24	(b) Rs 1250
25	(b) 23

Worked solutions

Reveal the answer key and full worked solutions

Q1.SI = (P × R × T)/100, so 600 = (P × 5 × 3)/100 = 15P/100 = 0.15P. P = 600 / 0.15 = 4000. Answer (c). See profit loss and interest.
Q2.35 percent = 84, so 1 percent = 84/35 = 2.4. Then 60 percent = 60 × 2.4 = 144. Answer (c). See percentage ratio and average.
Q3.Each term doubles: 7, 14, 28, 56, 112. Answer (c). See alphanumeric series and input output.
Q4.A 10 percent rise then 10 percent fall gives a net change of -(10 × 10)/100 = -1 percent, a 1 percent decrease. Answer (b). See percentage ratio and average.
Q5.Ages 5 × and 7x. (5x + 4)/(7x + 4) = 3/4. Cross-multiply: 4(5x + 4) = 3(7x + 4), so 20x + 16 = 21x + 12, giving x = 4. A's age = 5x = 20. Answer (a). See logical reasoning.
Q6.Together rate = 1/20, B's rate = 1/30. A's rate = 1/20 - 1/30. LCM of 20 and 30 is 60, so = 3/60 - 2/60 = 1/60 per day. A alone takes 60 days. Answer (c). See time speed distance and time and work.
Q7.Side = 48/4 = 12 cm. Area = 12 × 12 = 144 sq cm. Answer (c). See mensuration and geometry.
Q8.Each letter shifts forward by one: C to D, A to B, T to U gives DBU. So DOG becomes D->E, O->P, G->H = EPH. Answer (a). See logical reasoning.
Q9.Total distance = 200 + 300 = 500 m in 25 seconds. Speed = 500/25 = 20 m/s = 20 × (18/5) = 72 km/h. Answer (b). See time speed distance and time and work.
Q10.All pens are pencils means some pencils are pens (a valid conversion of a universal affirmative). The eraser conclusions do not follow. Answer (b). See logical reasoning.
Q11.Selling price 5 at 25 percent profit means cost = 5 / 1.25 = 4. Answer (b). See profit loss and interest.
Q12.CI = P[(1.05)² - 1] = 4000(1.1025 - 1) = 4000 × 0.1025 = 410. Answer (b). See profit loss and interest.
Q13.The clock loses 5 minutes each hour, so over 12 hours it loses 5 × 12 = 60 minutes. Answer (c). See clocks and calendars.
Q14.Product of two numbers = HCF × LCM = 6 × 36 = 216. The other number = 216 / 12 = 18. Answer (b). See number system and simplification.
Q15.Cost per egg = 200/100 = 2. Selling price = 2.50. Profit = 0.50 per egg, profit percent = (0.50/2) × 100 = 25 percent. Answer (b). See profit loss and interest.
Q16.121 = 11², 144 = 12², 169 = 13² are perfect squares; 175 is not, so it is the odd one. Answer (d). See number system and simplification.
Q17.Downstream speed = 30/3 = 10 km/h, upstream = 18/3 = 6 km/h. Still-water speed = (downstream + upstream)/2 = (10 + 6)/2 = 8 km/h. Answer (b). See time speed distance and time and work.
Q18.Area is proportional to the square of the radius, so doubling the radius makes the area 2² = 4 times. Answer (c). See mensuration and geometry.
Q19.Total = (left position) + (right position) - 1 = 11 + 8 - 1 = 18. Answer (b). See logical reasoning.
Q20.Multiplying every value by 3 multiplies the average by 3: 20 × 3 = 60. Answer (c). See percentage ratio and average.
Q21.February = 1200 × 1.15 = 1380. Answer (c). See data interpretation.
Q22.Total = 4 + 6 = 10 balls. P(black) = 6/10 = 3/5. Answer (b). See permutation combination and probability.
Q23.2¹⁰ = 1024. Answer (c). See number system and simplification.
Q24.Amount = P(1.04)² = 1352. (1.04)² = 1.0816. P = 1352 / 1.0816 = 1250. Answer (b). See profit loss and interest.
Q25.Order of operations: 6/2 = 3, then 3 × 3 = 9. So 18 + 9 - 4 = 23. Answer (b). See number system and simplification.

Cross-references

Framework and honesty rule: 00 pipeline
GMA module index: Index
Shortcuts and strategy: exam strategy and shortcuts
More sets: set 01, set 02, set 03, set 05

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