6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of $\sqrt{1054 + \sqrt{196} + \sqrt{169} + \sqrt{64}}$ ?

A) 33	B) 37
C) 29	D) 31

Answer & Explanation Answer: A) 33

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Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

A) (2√2+√3)/2	B) 5/6
C) (1+2√3)/2	D) (√2+1)/√2

Answer & Explanation Answer: A) (2√2+√3)/2

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Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

A) 3√3/2	B) 1+√3
C) (2√2+1)/2	D) (3√3+1)/6

Answer & Explanation Answer: A) 3√3/2

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Q:

If $\tan^{4} θ + \tan^{2} θ = 2$ , then $\sec^{4} θ - \sec^{2} θ = ?$

A) 0	B) 3
C) 2	D) 1

Answer & Explanation Answer: C) 2

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Q:

ΔXYZ is right angled at Y. If sinX = 4/5, then what is the value of cosZ ?

A) 3/4	B) 5/3
C) 4/5	D) 4/3

Answer & Explanation Answer: C) 4/5

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Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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64 49114

Q:

$Sinθ Cos (90 - θ) + Cosθ Sin (90 - θ) =$

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

Answer & Explanation Answer: A) 1

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Q:

If $tanα = \sqrt{2} + 1$ , then the value of $tanα - cotα$ is

A) √2 - 1	B) 2√2
C) 2	D) 1

Quantitative Aptitude - Arithmetic Ability Questions

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