6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A) 16	B) 18
C) 20	D) 22

Answer & Explanation Answer: B) 18

Explanation:

$\frac{2 (l + b)}{b} = \frac{5}{1}$ => 2l + 2b = 5b => 3b = 2l

b=(2/3)l

Then, Area = 216 cm²

=> l x b = 216 => l x (2/3)l =216

l = 18 cm.

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50 62564

Q:

Find the value of ${[7 {(64^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$

A) 7	B) 6
C) 49	D) 343

Answer & Explanation Answer: A) 7

Explanation:

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Q:

The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :

A) 10.5	B) 11.5
C) 12.5	D) 13.5

Answer & Explanation Answer: B) 11.5

Explanation:

Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5.

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103 62519

Q:

What is the value of (cosec60 - 1/2) ?

A) (4-√3)/2√3	B) (2√3-1)/√3
C) (3√3-1)/3	D) 1/√3

Answer & Explanation Answer: A) (4-√3)/2√3

Explanation:

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Q:

What is the value of 88% of 1125 + 20% of 425?

A) 1025	B) 1125.2
C) 1075	D) 1055

Answer & Explanation Answer: C) 1075

Explanation:

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Q:

$\frac{3}{5} + \frac{3}{7} = ?$

A) 935	B) 612
C) 1135	D) 635

Answer & Explanation Answer: C) 1135

Explanation:

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Q:

If x = 4 + √15, then what is the value of $[x^{2} + (1 / x^{2})]$ ?

A) 62	B) 64
C) 34	D) 36

Answer & Explanation Answer: A) 62

Explanation:

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Q:

The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?

A) 12	B) 13
C) 14	D) 15

Answer & Explanation Answer: A) 12

Explanation:

(A+B) - (B+C) = 12

$\Rightarrow$ A - C = 12.

$\Rightarrow$ C is younger than A by 12 years.

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Quantitative Aptitude - Arithmetic Ability Questions

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