6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 27% of an electricity bill is deducted, Rs 1825 is still to be paid. How much was the bill?

A) Rs 1437	B) Rs 2536
C) Rs 2500	D) Rs 1473

Answer & Explanation Answer: C) Rs 2500

Explanation:

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Q:

If $\sec^{2} A + {cosec}^{2} A = X$ , then the value of X is

A) tan2A cot2A	B) sinA cosA
C) secA cosecA	D) sec2A cosec2A

Answer & Explanation Answer: D) sec2A cosec2A

Explanation:

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Q:

(91 + 92 + 93 + ......... +110) is equal to

A) 4020	B) 2010
C) 6030	D) 8040

Answer & Explanation Answer: B) 2010

Explanation:

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Q:

$2 \sec^{2} A$ is equal to

A) (1 - tanA)2 - (1 + tanA)2	B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2]	D) (1 - tanA)2 + (1 + tanA)2

Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

Explanation:

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Q:

If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

A) (P + 1)/(P – 1)	B) (P2+ 1)/2P
C) 2(P2+ 1)/P	D) 2P/(P2+ 1)

Answer & Explanation Answer: D) 2P/(P2+ 1)

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Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Q:

A rice trader buys 16 quintals of rice for Rs 5632. 20% rice is lost in transportation. At what rate should he sell to earn 25% profit?

A) Rs 225.2 per quintal	B) Rs 550 per quintal
C) Rs 440 per quintal	D) Rs 563.2 per quintal

Answer & Explanation Answer: B) Rs 550 per quintal

Explanation:

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Q:

If the measure of the interior angle of a regular polygon is $180^{0}$ , then how many sides does it have?

A) 6	B) 8
C) 9	D) 5

Quantitative Aptitude - Arithmetic Ability Questions

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