6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

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Q:

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

A) -9	B) 11
C) 9	D) -3

Answer & Explanation Answer: D) -3

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Q:

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

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

Answer & Explanation Answer: C) 0

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Q:

What is the value of (cosecA - cotA) / (secA + tanA)?

A) (secA + tanA)/(cosecA - cotA)	B) √[(secA - tanA)/(cosecA + cotA)]
C) (secA - tanA)/(cosecA + cotA)	D) √[(secA + tanA)/(cosecA - cotA)]

Answer & Explanation Answer: C) (secA - tanA)/(cosecA + cotA)

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Q:

If tan(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 - cosA)]	B) (1 - cosA)/(1 + cosA)
C) (1 + cosA)/(1 - cosA)	D) √[(1 - cosA)/(1 + cosA)]

Answer & Explanation Answer: D) √[(1 - cosA)/(1 + cosA)]

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Q:

If cos 27° = x, the value of tan 63° is

A) x1-x2	B) x1+x2
C) 1-x2x	D) 1+x2x

Answer & Explanation Answer: A) x1-x2

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Q:

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

A) 108.5	B) 94.5
C) 70	D) 120

Answer & Explanation Answer: B) 94.5

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Q:

A shopkeeper by selling 13 Titan watches, earns a profit equal to the selling price of 3 Titan watches. His profit percentage is

A) 30 percent	B) 23.0 percent
C) 46 percent	D) 16 percent

Quantitative Aptitude - Arithmetic Ability Questions

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