6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of (cosec60 - 1/2) ?

A) (4-√3)/2√3	B) (2√3-1)/√3
C) (3√3-1)/3	D) 1/√3

Answer & Explanation Answer: A) (4-√3)/2√3

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Q:

Which of the following statement(s) is/are TRUE?

$I . \sqrt{12} > \sqrt[3]{16} > \sqrt[4]{24} II . \sqrt[3]{25} > \sqrt[4]{32} > \sqrt[6]{48} III . \sqrt[4]{9} > \sqrt[3]{15} > \sqrt[6]{24}$

A) Only I and II	B) Only I and III
C) Only I	D) All are true.

Answer & Explanation Answer: A) Only I and II

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Q:

If x = 4 + √15, then what is the value of $[x^{2} + (1 / x^{2})]$ ?

A) 62	B) 64
C) 34	D) 36

Answer & Explanation Answer: A) 62

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Q:

Simplify 5x(x + 2) + 4x

A) 5x2 + 10	B) 9x + 10
C) 5x2 - 14x	D) 5x2 + 14x

Answer & Explanation Answer: D) 5x2 + 14x

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Q:

If $\sec θ + \tan θ = 2, then \sec θ - \tan θ = ?$

A) 0.5	B) 1.5
C) 1	D) 0.75

Answer & Explanation Answer: A) 0.5

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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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3 49736

Q:

Find the value of ${[7 {(64^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$

A) 7	B) 6
C) 49	D) 343

Answer & Explanation Answer: A) 7

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Q:

Odd man out of the series

90 72 56 42 36 20

A) 20	B) 36
C) 42	D) 56

Answer & Explanation Answer: B) 36

Explanation:

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36)

4 x 5 = 20

Hence, the odd man in the given number series is 36.

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Quantitative Aptitude - Arithmetic Ability Questions

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