6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the value of $27 a^{3} + \frac{1}{a^{3}}$ , if $9 a^{2} + \frac{1}{a^{2}} = 43$

A) 240	B) 280
C) 320	D) 360

Answer & Explanation Answer: B) 280

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Filed Under: Simplification
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Q:

The number of solutions of the pair of linear equations x + 2y - 8 = 0 and 2x + 4y = 16 is

A) 0	B) 1
C) Infinitely many	D) 2

Answer & Explanation Answer: A) 0

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Q:

Which of the following numbers is not a prime number?

A) 197	B) 313
C) 439	D) 391

Answer & Explanation Answer: D) 391

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Filed Under: Problems on Numbers
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Q:

If $r \sin θ = \sqrt{3}$ and $r \cos θ = 1$ , then the values of r and $θ$ are: $(0 ° ⩽ θ \leq 90 °)$

A) r=1, θ=30°	B) r=1⁄2, θ=30°
C) r=3 , θ=30°	D) r=2, θ=60°

Answer & Explanation Answer: D) r=2, θ=60°

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If $x = \frac{2 + \sqrt{3}}{2 - \sqrt{3}}$ , then what is the value of x+1/x ?

A) 14	B) 8
C) 0	D) 1

Answer & Explanation Answer: A) 14

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel
What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?

A) 4 cm	B) 5 cm
C) 6 cm	D) 7 cm

Answer & Explanation Answer: C) 6 cm

Explanation:

Perimeter of triangle ABC – Perimeter of triangle ADC = (9+40+41) - (15+28+41) = 6 cm

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Filed Under: Volume and Surface Area
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Q:

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) (9, 18, 25)	B) (7, 16, 23)
C) (26, 35, 42)	D) (19, 27, 35)

Answer & Explanation Answer: D) (19, 27, 35)

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Filed Under: Odd Man Out
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Q:

If Cot θ = 21/20, then what is the value of Cosec θ?

A) 21/29	B) 29/21
C) 20/29	D) 29/20

Quantitative Aptitude - Arithmetic Ability Questions

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