6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

A) -1	B) 2
C) -2	D) 1

Answer & Explanation Answer: D) 1

Explanation:

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Filed Under: Simplification
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Q:

If $\frac{a}{b} + \frac{b}{a} = - 1$ , then the value of $\frac{a^{2}}{b} - \frac{b^{2}}{a}$ is

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

Answer & Explanation Answer: C) 0

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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:

Find the smallest 8 digit number which is exactly divisible by 121.

A) 10000045	B) 10000076
C) 10000024	D) 10000055

Answer & Explanation Answer: A) 10000045

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams , CAT

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Q:

If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?

A) 7	B) 3.5
C) 5	D) 7.5

Answer & Explanation Answer: D) 7.5

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If a + b = 4 and ab = -5, then what is the value of $a^{3} + b^{3}$ ?

A) 34	B) 36
C) 124	D) 126

Answer & Explanation Answer: C) 124

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Q:

The sum of a number and 4 times its reciprocal is 5. What is the number?

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

Answer & Explanation Answer: A) 4

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Q:

The value of -261+(-380)-(-521)+821-(-121)

A) 833	B) 825
C) 822	D) 800

Quantitative Aptitude - Arithmetic Ability Questions

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