6500+ Quantitative Aptitude Questions and Answers With Explanation

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 $∆ ABC,$ ∠B=35°, ∠C=65° and the bisector of ∠BAC meets BC in D. Then ADB is

A) 40°	B) 75°
C) 90°	D) 105°

Answer & Explanation Answer: D) 105°

Explanation:

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Q:

If 2x + 3y – 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

A) 32	B) 52
C) 64	D) 46

Answer & Explanation Answer: B) 52

Explanation:

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Q:

The population of a town increases by 5% in the first year, by 6% in the second year and by 8% in third year. The present population of town is 120204. What was the population of the town 3 years ago?

A) 102000	B) 100000
C) 98000	D) 101204

Answer & Explanation Answer: B) 100000

Explanation:

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Filed Under: Percentage
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Q:

What least number must be subtracted from 210, so that the sum is completely divisible by 11?

A) 2	B) 3
C) 4	D) 1

Answer & Explanation Answer: D) 1

Explanation:

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Filed Under: Problems on Numbers
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Q:

There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ∠FDH (in degrees)?

A) 22.5	B) 45
C) 30	D) 42.5

Answer & Explanation Answer: B) 45

Explanation:

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Filed Under: Volume and Surface Area
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Q:

A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?

A) 286.2	B) 314.32
C) 250.64	D) 386.5

Answer & Explanation Answer: D) 386.5

Explanation:

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Q:

Two students appeared for an examination. One of them secured 20 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are

A) 92 and 72	B) 83 and 63
C) 110 and 90	D) 64 and 44

Quantitative Aptitude - Arithmetic Ability Questions

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