6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20	B) 29/34
C) 47/100	D) 13/102

Answer & Explanation Answer: D) 13/102

Explanation:

Let S be the sample space.

Then, n(S) = $52 C_{2}$ =(52 x 51)/(2 x 1) = 1326.

Let E = event of getting 1 spade and 1 heart.

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = $13 C_{1} * 13 C_{1}$ = 169.

P(E) = n(E)/n(S) = 169/1326 = 13/102.

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Filed Under: Probability

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Q:

Average of 10 numbers is 14. If each number is multiplied by 6, then what will be the new average?

A) 70	B) 84
C) 56	D) 92

Answer & Explanation Answer: B) 84

Explanation:

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Filed Under: Average
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Q:

Find the odd man out?

61, 66, 83, 121, 185

A) 185	B) 121
C) 83	D) 66

Answer & Explanation Answer: B) 121

Explanation:

Given number series is 61, 66, 83, 121, 185

Here the given series follows a pattern that,

$61 61 + (2^{2} + 1) = 66 66 + (4^{2} + 1) = 83 83 + (6^{2} + 1) = 120 (not 121) 120 + (8^{2} + 1) = 185$

Hence, the odd man in the given series is 121.

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Q:

If $\frac{x^{32} - 1}{x^{16}} = 5$ , then find the value of $\frac{x^{96} - 1}{x^{48}}$ .

A) 40	B) 70
C) 140	D) 180

Answer & Explanation Answer: C) 140

Explanation:

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Filed Under: Simplification
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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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Filed Under: Area
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Q:

What is the value of 'x' in $2 \sqrt{3 x} - 5 \sqrt{27 x} + \sqrt{108 x} = - 21 ?$

A) 0.33	B) 1
C) 3	D) 9

Answer & Explanation Answer: C) 3

Explanation:

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Q:

If the value of $θ = 30 °$ , then the value of $\tan^{2} θ + \cot^{2} θ$ .

A) 1/3	B) 4/3
C) 9/3	D) 10/3

Answer & Explanation Answer: D) 10/3

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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Filed Under: Volume and Surface Area

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Quantitative Aptitude - Arithmetic Ability Questions

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