6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: C) 5

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT

0 1194

Q:

A train crosses a 550 m long platform in 36 seconds. How long was the train if it was travelling at the speed of 70 kmph?

A) 160 m	B) 140 m
C) 150 m	D) 525 m

Answer & Explanation Answer: C) 150 m

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years. Then what is the present age of the wife?

A) 60 years	B) 51 years
C) 48 years	D) 45 years

Answer & Explanation Answer: D) 45 years

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm	B) 1.5 cm
C) 1 cm	D) 2.5 cm

Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

A) 219	B) 137
C) 231	D) 279

Answer & Explanation Answer: D) 279

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

Simplify $\frac{0.1 x 0.1 x 0.1 + 0.3 x 0.3 x 0.3}{0.3 x 0.3 - 0.3 x 0.1 + 0.1 x 0.1}$

A) 0.09	B) 0.03
C) 0.05	D) 0.04

Answer & Explanation Answer: D) 0.04

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The simplest form of 3565/1495 is

A) 31/13	B) 43/19
C) 23/13	D) 31/23

Answer & Explanation Answer: A) 31/13

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If secA - tanA = x, then the value of x is

A) √[(1 + sinA)/(1 - sinA)]	B) √[(1-sinA)/(1+sinA)]
C) (1-sinA)/(1+sinA)	D) (1 + sinA)/(1 - sinA)

Quantitative Aptitude - Arithmetic Ability Questions

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