6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $θ > 0$ , be an acute angle, then the value of it in degrees satisfying $\frac{\cos^{2} θ - 3 cosθ + 2}{\sin^{2} θ} = 1$ is

A) 90°	B) 30°
C) 45°	D) 60°

Answer & Explanation Answer: D) 60°

Explanation:

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) 82	B) 75
C) 64	D) 31

Answer & Explanation Answer: C) 64

Explanation:

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Q:

Findout the odd word/letters/number/number pair from the given alternatives.

A) 2714	B) 8432
C) 6742	D) 7858

Answer & Explanation Answer: D) 7858

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Q:

If ax + by = 1 and $bx + ay = \frac{2 ab}{a^{2} + b^{2}}$ then $(x^{2} + y^{2}) (a^{2} + b^{2})$ is equal to

A) 1	B) 2
C) 0.5	D) 0

Answer & Explanation Answer: A) 1

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Q:

What is the value of √[(1 - cosA)/(1 + cosA)]?

A) cosecA - cotA	B) cosecA + cotA
C) secA - cotA	D) secA + cotA

Answer & Explanation Answer: A) cosecA - cotA

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Q:

Find two natural numbers whose sum is 85 andtheleast common multiple is 102.

A) 30 & 55	B) 17 & 68
C) 35& 55	D) 51 & 34

Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Q:

If 3√2 + √18 + √50 = 15.55, then what is the value of √32 + √72?

A) 13.22	B) 10.83
C) 14.13	D) 16.54

Answer & Explanation Answer: C) 14.13

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Q:

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

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

Quantitative Aptitude - Arithmetic Ability Questions

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