6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a - b = 1 and ab = 6, then what is the value of $a^{3} - b^{3}$ ?

A) 21	B) 23
C) 19	D) 25

Answer & Explanation Answer: C) 19

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Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m	B) 30(√3-1) m
C) 30(√3+1) m	D) 60(√3-1) m

Answer & Explanation Answer: C) 30(√3+1) m

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Q:

If cosA = x, then x is

A) √(1 - cos2A)	B) √(1 + sin2A)
C) √(1 + cos2A)	D) √(1 - sin2A)

Answer & Explanation Answer: D) √(1 - sin2A)

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Q:

If $\frac{2 + a}{a} + \frac{2 + b}{b} + \frac{2 + c}{c} = 4$ , then the value of $\frac{ab + bc + ca}{abc}$ is

A) 2	B) 1
C) 0	D) 1/2

Answer & Explanation Answer: D) 1/2

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Q:

What is the average of first 30 multiples of 9?

A) 142	B) 138.5
C) 139.5	D) 143.5

Answer & Explanation Answer: C) 139.5

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Q:

Two cyclists P and Q cycle at 20 km/hr and 16 km/hr towards each other respectively. What was the distance (in kms) between them when they started if they met after 40 minutes?

A) 36	B) 30
C) 25	D) 24

Answer & Explanation Answer: D) 24

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Q:

A and B can together do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

A) 18 days	B) 24 days
C) 9 days	D) 12 days

Answer & Explanation Answer: A) 18 days

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Q:

If $2 x + \frac{1}{3 x} = 5$ , the value of $\frac{5 x}{6 x^{2} + 20 x + 1}$ is

A) 1/4	B) 1/6
C) 1/5	D) 1/7

Quantitative Aptitude - Arithmetic Ability Questions

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