6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

A) 1/2	B) 1
C) √3/2	D) √3

Answer & Explanation Answer: B) 1

Explanation:

tan x = 1

then x = 45

2sin x. cos x = 2× 1/√2 x 1/√2 = 1

an x = 1

then

x = 45

o

2sin x. cos x =

2

×

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Q:

If x - y = 6 and xy = 40, then find $x^{2} + y^{2}$ ?

A) 116	B) 80
C) 89	D) 146

Answer & Explanation Answer: A) 116

Explanation:

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Q:

If $x + \frac{1}{x} \neq 0 and x^{3} + \frac{1}{x^{3}} = 0, then the value of {(x + \frac{1}{x})}^{4} is :$

A) 9	B) 12
C) 15	D) 16

Answer & Explanation Answer: A) 9

Explanation:

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Q:

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

A) 12 cm	B) 6 cm
C) 1 cm	D) 2 cm

Answer & Explanation Answer: D) 2 cm

Explanation:

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Q:

The ratio of present ages of Sheetal and Divya is 6 : 5. After 8 years, their ages will be in the ratio of 22 : 19. What is the present age (in years) of Divya?

A) 22	B) 38
C) 34	D) 30

Answer & Explanation Answer: D) 30

Explanation:

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Q:

The average marks in science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?

A) 68.5	B) 69
C) 69.5	D) 70

Answer & Explanation Answer: B) 69

Explanation:

Difference of marks = 72 + 61 –48 –65 = 20∴Correct average marks = 68 +20/20= 69

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Q:

The ratio 1 : 5 can be expressed in decimal as

A) 0.5	B) 0.2
C) 0.02	D) 0.1

Answer & Explanation Answer: B) 0.2

Explanation:

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Q:

What is the value of $\sqrt{513 - \sqrt{144} - \sqrt{81} - \sqrt{64}} ?$

A) 22	B) 21
C) 28	D) 19

Quantitative Aptitude - Arithmetic Ability Questions

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