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Mini-Test: General Mental Ability

Subject-wise 25-question CAPF Paper I reasoning and quantitative aptitude mini-test with worked answer key, authored practice not verbatim PYQs

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PaperPaper ISubjectGMA

Test SeriesMini TestGMAReasoningQuantitative AptitudePaper 1Practice

Authored practice, not a verbatim PYQ. Twenty-five questions spanning number system, percentage, ratio, average, time-speed-distance, time and work, interest, profit and loss, and reasoning, calibrated to the CAPF Paper I level. This is a method-and-speed section, so the key shows the working, not just the option. Attempt closed-book in about 25 minutes. CAPF applies one-third negative marking, so guess only after eliminating options.

Questions

Q1What is 35 percent of 240?

A72
B84
C96
D108

Q2The average of 5 consecutive even numbers is 30. What is the largest of them?

Q3If the ratio of two numbers is 3 : 5 and their sum is 64, the larger number is:

Q4A train 150 m long is moving at 54 km/h. How long does it take to cross a pole?

A8 seconds
B10 seconds
C12 seconds
D15 seconds

Q5A man buys an article for Rs 400 and sells it for Rs 460. His profit percentage is:

A10 percent
B12 percent
C15 percent
D20 percent

Q6The simple interest on Rs 5,000 at 8 percent per annum for 3 years is:

ARs 1,000
BRs 1,200
CRs 1,400
DRs 1,600

Q7A can do a piece of work in 10 days and B in 15 days. Working together, they finish it in:

A5 days
B6 days
C7 days
D8 days

Q8The LCM of 12 and 18 is:

Q9If 20 percent of a number is 50, the number is:

A200
B250
C300
D350

Q10The compound interest on Rs 10,000 at 10 percent per annum for 2 years is:

ARs 2,000
BRs 2,100
CRs 2,200
DRs 2,310

Q11A shopkeeper marks an item 40 percent above cost and gives a 10 percent discount. His gain percentage is:

A24 percent
B26 percent
C28 percent
D30 percent

Q12Two pipes can fill a tank in 12 and 24 minutes respectively. Together they fill it in:

A6 minutes
B8 minutes
C9 minutes
D10 minutes

Q13The square root of 1,296 is:

Q14A sum doubles itself in 8 years at simple interest. The annual rate of interest is:

A10 percent
B12.5 percent
C15 percent
D8 percent

Q15If a : b = 2 : 3 and b : c = 4 : 5, then a : c is:

A8 : 15
B2 : 5
C3 : 5
D8 : 5

Q16Find the next term in the series: 2, 6, 12, 20, 30, ?

Q17If in a code FACE is written as GBDF, then HEAD is written as:

AIFBE
BGFBE
CIFCE
DIGBE

Q18Pointing to a photograph, a man said, "She is the daughter of my mother's only son." How is the girl related to the man?

ASister
BDaughter
CNiece
DCousin

Q19Find the odd one out: 3, 5, 11, 14, 17, 23

Q20A man walks 5 km north, turns right and walks 3 km, then turns right and walks 5 km. In which direction is he now from his starting point?

ANorth
BSouth
CEast
DWest

Q21Complete the analogy: Doctor is to Hospital as Teacher is to:

AStudent
BSchool
CBooks
DClass

Q22If all roses are flowers and some flowers fade quickly, which conclusion necessarily follows?

AAll roses fade quickly
BSome roses fade quickly
CNo definite conclusion about roses fading
DNo flower is a rose

Q23In a class of 50 students, 60 percent are boys. The number of girls is:

Q24The average of the first 10 natural numbers is:

A5
B5.5
C6
D6.5

Q25Which number should replace the question mark: 7, 14, 28, 56, ?

A84
B98
C112
D120

Answer key

Reveal the answer key and full worked solutions

Q	Answer
1	(b) 84
2	(b) 34
3	(c) 40
4	(b) 10 seconds
5	(c) 15 percent
6	(b) Rs 1,200
7	(b) 6 days
8	(b) 36
9	(b) 250
10	(b) Rs 2,100
11	(b) 26 percent
12	(b) 8 minutes
13	(b) 36
14	(b) 12.5 percent
15	(a) 8 : 15
16	(c) 42
17	(a) IFBE
18	(b) Daughter
19	(b) 14
20	(c) East
21	(b) School
22	(c) No definite conclusion about roses fading
23	(b) 20
24	(b) 5.5
25	(c) 112

Explanations

Q1. 35 percent of 240 = 0.35 × 240 = 84. See percentage ratio and average.
Q2. Five consecutive even numbers averaging 30 are 26, 28, 30, 32, 34, the middle being the average; the largest is 34. See percentage ratio and average.
Q3. Total parts 3 + 5 = 8; one part = 64 / 8 = 8, so the larger (5 parts) = 40. See percentage ratio and average.
Q4. 54 km/h = 15 m/s; time = distance / speed = 150 / 15 = 10 seconds. See time speed distance and time and work.
Q5. Profit = 460 - 400 = 60; profit percentage = 60 / 400 × 100 = 15 percent. See profit loss and interest.
Q6. SI = (P × R × T) / 100 = (5000 × 8 × 3) / 100 = Rs 1,200. See profit loss and interest.
Q7. Combined one-day work = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6, so they finish in 6 days. See time speed distance and time and work.
Q8. 12 = 2² × 3, 18 = 2 × 3², so LCM = 2² × 3² = 36. See number system and simplification.
Q9. If 20 percent = 50, then the number = 50 / 0.20 = 250. See percentage ratio and average.
Q10. CI = P[(1 + R/100)^T - 1] = 10000[(1.1)² - 1] = 10000 × 0.21 = Rs 2,100. See profit loss and interest.
Q11. Take cost 100; marked = 140; after 10 percent discount selling price = 140 × 0.9 = 126; gain = 26 percent. See profit loss and interest.
Q12. Combined rate = 1/12 + 1/24 = 2/24 + 1/24 = 3/24 = 1/8, so 8 minutes. See time speed distance and time and work.
Q13. 36 × 36 = 1,296, so the square root is 36. See number system and simplification.
Q14. A sum doubling means interest equals principal; rate = 100 / 8 = 12.5 percent per annum. See profit loss and interest.
Q15. a : b = 2 : 3 and b : c = 4 : 5; make b common by scaling to b = 12, giving a = 8, c = 15, so a : c = 8 : 15. See percentage ratio and average.
Q16. The series is n(n+1): 1 × 2, 2 × 3, 3 × 4, 4 × 5, 5 × 6, so next is 6 × 7 = 42. See verbal reasoning.
Q17. Each letter shifts forward by one: H to I, E to F, A to B, D to E, giving IFBE. See verbal reasoning.
Q18. "My mother's only son" is the man himself, so the girl is his own daughter. See verbal reasoning.
Q19. 3, 5, 11, 17, 23 are all prime, but 14 is composite, so 14 is the odd one out. See verbal reasoning.
Q20. Starting north 5 km, a right turn faces east (3 km), a second right turn faces south (5 km), cancelling the northward leg; he ends 3 km due east of the start, so the direction is East. See verbal reasoning.
Q21. A doctor works in a hospital as a teacher works in a school; the analogy is workplace to professional. See logical reasoning.
Q22. "Some flowers fade quickly" does not specify which flowers, so we cannot conclude anything definite about roses fading. See logical reasoning.
Q23. Boys = 60 percent of 50 = 30; girls = 50 - 30 = 20. See data interpretation.
Q24. Average of first n natural numbers = (n + 1) / 2 = 11 / 2 = 5.5. See percentage ratio and average.
Q25. Each term doubles: 7, 14, 28, 56, so next is 112. See verbal reasoning.

Cross-references

General Mental Ability module index: Index
Formula cheat sheet and shortcuts: exam strategy and shortcuts
Subject-wise test-series index: Index

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