6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

A) 49	B) 154
C) 378	D) 1078

Answer & Explanation Answer: B) 154

Explanation:

The diameter is equal to the shortest side of the rectangle.

So radius= 14/2 = 7cm.

Therefore, $a r e a o f c i r c l e = {πr}^{2} = \frac{22}{7} \times 49 = 154 {cm}^{2}$

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Q:

What is the value of $\sqrt[3]{512} + \sqrt{169} + \sqrt[3]{216} + \sqrt{225}$ ?

A) 48	B) 32
C) 42	D) 36

Answer & Explanation Answer: C) 42

Explanation:

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Q:

Find the odd man out?

16, 254, 1296, 4096, 10000

A) 16	B) 254
C) 1296	D) 10000

Answer & Explanation Answer: B) 254

Explanation:

The given series 16, 254, 1296, 4096, 10000 follows a pattern that

$2^{4}, 4^{4}, 6^{4}, 8^{4}, 10^{4}, . . .$

Hence, the odd man in the series is 4 x 4 x 4 x 4 = 256 not 254.

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Q:

If $s + \frac{1}{s} = 4$ , then the value of $s^{2} + \frac{1}{s^{2}}$

A) 14	B) 16
C) 20	D) 24

Answer & Explanation Answer: A) 14

Explanation:

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Q:

3, 11, 80, 291, 803

Find the odd man out of the number series?

A) 11	B) 803
C) 80	D) 291

Answer & Explanation Answer: C) 80

Explanation:

The given number series is 3, 11, 80, 291, 803

$3 3 + 2^{3} = 3 + 8 = 11 11 + 4^{3} = 11 + 64 = 75 (not 80) 75 + 6^{3} = 75 + 216 = 291 291 + 8^{3} = 291 + 512 = 803$

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Q:

If $4^{x} = \sqrt[7]{1024}$ , then what is the value of x?

A) 5/7	B) 4/7
C) 3/7	D) 6/7

Answer & Explanation Answer: A) 5/7

Explanation:

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Q:

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

A) 12 pi cub.cm	B) 15 pi cub.cm
C) 16 pi cub.cm	D) 20 pi cub.cm

Answer & Explanation Answer: A) 12 pi cub.cm

Explanation:

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Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24	B) 20160
C) 186	D) 5040

Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3 24 186 1008 5040 20160

Here the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 = 5040

5040 x 4 = 20160

Hence the Odd One in the number series is 186.

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Quantitative Aptitude - Arithmetic Ability Questions

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