6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the simplified value of

$\frac{1}{\sqrt{17} - \sqrt{16}} - \frac{1}{\sqrt{16} - \sqrt{15}} + \frac{1}{\sqrt{15} - \sqrt{14}} - \frac{1}{\sqrt{14} - \sqrt{13}} + \frac{1}{\sqrt{13} - \sqrt{12}}$ ?

A) 4 – 2√3	B) √17 – 3√2
C) √17 + √12	D) 4 + 2√3

Answer & Explanation Answer: C) √17 + √12

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Q:

If $a = \sqrt{5 + 2 \sqrt{2}} & b = \sqrt{5 - 2 \sqrt{2}}$ , then find the value of $a^{2} - b^{2}$ .

A) 2	B) 4
C) 2√2	D) 4√2

Answer & Explanation Answer: D) 4√2

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Q:

Solve the following:

$\frac{1}{1 + sinθ} + \frac{1}{1 - sinθ} = ?$

A) 2cos2θ	B) 1
C) 0	D) 2sec2θ

Answer & Explanation Answer: D) 2sec2θ

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Q:

If $cosθ = 4 / 5$ , then $(secθ + cosecθ) =$

A) 7/5	B) 15/12
C) 35/12	D) 12/5

Answer & Explanation Answer: C) 35/12

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Q:

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

A) √4	B) 2
C) 4	D) 64

Answer & Explanation Answer: C) 4

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Q:

In the following question, select the odd letter/letters from the given alternatives.

A) LFZ	B) PJC
C) SMG	D) XRL

Answer & Explanation Answer: B) PJC

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Q:

If $p & q = p^{2} + 4 pq - q^{2}$ then find the value of (3 & 6) + (4 & 5).

A) 98	B) 106
C) 116	D) 126

Answer & Explanation Answer: C) 116

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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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Quantitative Aptitude - Arithmetic Ability Questions

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