6500+ Quantitative Aptitude Questions and Answers With Explanation

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:

A trader had 22 quintals of wheat. He sold a part of it at 23% profit and the rest at 33% profit, so that he made a total profit of 27%. How much wheat did he sell at 33% profit?

A) 1320 kg	B) 440 kg
C) 880 kg	D) 1760 kg

Answer & Explanation Answer: C) 880 kg

Explanation:

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Filed Under: Profit and Loss
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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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Filed Under: Problems on Numbers
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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:

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

A) 36	B) 60
C) 50	D) 40

Answer & Explanation Answer: B) 60

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Filed Under: Percentage
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Q:

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

A) 286	B) 374
C) 143	D) 279

Answer & Explanation Answer: D) 279

Explanation:

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Filed Under: Odd Man Out
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Q:

If $x = 8 + 2 \sqrt{15}$ , then what is the value of $\sqrt{x} + \frac{1}{\sqrt{x}}$ ?

A) 2√15	B) 3√5
C) (3√5+√3)/2	D) 3√2+3

Quantitative Aptitude - Arithmetic Ability Questions

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