6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

${(8)}^{\frac{2}{3}}$ = ?

A) √4	B) 2
C) 4	D) 64

Answer & Explanation Answer: C) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

$\frac{\sin 30 °}{1 + \cos 30 °} + \frac{1 + \cos 30 °}{\sin 30 °}$ = ?

A) 4	B) 3
C) 1	D) 2

Answer & Explanation Answer: A) 4

Explanation:

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Q:

Use continuity to evaluate the limit.

$\lim_{x \to 12} \frac{8 + x}{8 + x}$

A) 1	B) 2
C) 4	D) 0

Answer & Explanation Answer: A) 1

Explanation:

Since, we have that,

The numerator and denominator is (8+x), which is a polynomial is continuous for all the real numbers i.e. for all x belonging to .

Thus, the limit exists and is given by,

$\lim_{x \to 12} \frac{8 + x}{8 + x} = \frac{8 + 12}{8 + 12} = 1$ .

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Exam Prep: Bank Exams , CAT

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Q:

If $x^{2} = 25^{2} - 15^{2},$ then find the value of x?

A) 40	B) 50
C) 20	D) 25

Answer & Explanation Answer: C) 20

Explanation:

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Q:

The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is

A) 12	B) 16
C) 24	D) 48

Answer & Explanation Answer: D) 48

Explanation:

Let the numbers be 3x and 4x . Then their H.C.F = x. So, x=4

Therefore, The numbers are 12 and 16

L.C.M of 12 and 16 = 48

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Filed Under: HCF and LCM

127 55959

Q:

If $a^{2} + \frac{1}{a^{2}} = 3, then a^{3} + \frac{1}{a^{3}} = ?$

A) 3√5	B) 2√5
C) 2√3	D) 3√3

Answer & Explanation Answer: B) 2√5

Explanation:

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Exam Prep: Bank Exams

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Q:

Find the odd man out of the following number sequence?

3, 5, 13, 43, 167

A) 167	B) 43
C) 13	D) 5

Answer & Explanation Answer: A) 167

Explanation:

The given number series is 3, 5, 13, 43, 167

3

3 x 1 + 2 = 5

5 x 2 + 3 = 13

13 x 3 + 4 = 43

43 x 4 + 5 = 177 (not equal to 167)

Hence, the odd number in the given number sequence is 167.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 55893

Q:

If the average of 31, x, 42, 39, 56, 78, 83 and 91 is 58.5, then what is the value of x?

A) 26	B) 34
C) 58	D) 48

Quantitative Aptitude - Arithmetic Ability Questions

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