6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x – 3 + [1/(x – 3)] = 4, what is the value of $[{(x - 3)}^{3} + [1 / {(x - 3)}^{3}]$ ?

A) 14	B) 18
C) 52	D) 76

Answer & Explanation Answer: C) 52

Explanation:

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Q:

Find x, if $\sqrt{5 x - 6} + \sqrt{5 x + 6} = 6$

A) -4	B) 0
C) 2	D) 4

Answer & Explanation Answer: C) 2

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Q:

If 3 tan θ = cot θ where $0 < θ < π / 2$ , then what is the value of θ ?

A) π/6	B) π/4
C) π/2	D) 1

Answer & Explanation Answer: A) π/6

Explanation:

3tan θ = cot θ

3tan θ = 1/tan θ

tan2θ = 1/3

tan θ = 1/√3

θ = π/6

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Q:

Which of the following is correct?

A) (4x - 5y)2 = 16x2 - 20xy + 25y2	B) (4x - 5y)2 = 16x2 + 40xy - 25y2
C) (4x - 5y)2 = 16x2 - 40xy + 25y2	D) (4x - 5y)2 = 16x2 - 20xy - 25y2

Answer & Explanation Answer: C) (4x - 5y)2 = 16x2 - 40xy + 25y2

Explanation:

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Q:

The curved surface area and the diameter of a right circular cylinder are 660 sq.cm and 21 cm respectively. Find its height (in cm).

A) 9	B) 10
C) 12	D) 8

Answer & Explanation Answer: B) 10

Explanation:

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Q:

A fraction is greater than its reciprocal by (72)/(77). What is the fraction?

A) 7/11	B) 11/7
C) 4/7	D) 7/4

Answer & Explanation Answer: B) 11/7

Explanation:

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Q:

If $\tan^{2} A - \tan^{2} B = x$ , then the value of x is

A) (sin2A - sin2B)/(cos2A cos2B)	B) (sin2A sin2B)/(cos2A - cos2B)
C) (sin2A + sin2B)/(cos2A cos2B)	D) (sin2A sin2B)/(cos2A + cos2B)

Answer & Explanation Answer: A) (sin2A - sin2B)/(cos2A cos2B)

Explanation:

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Q:

In the following question, select the odd letters from the given alternatives.

A) DGJ	B) KNQ
C) RUX	D) ILN

Quantitative Aptitude - Arithmetic Ability Questions

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