6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

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

A) 2/3	B) 3/4
C) 4/5	D) 3/5

Answer & Explanation Answer: D) 3/5

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Q:

If $x + \frac{1}{x} = \sqrt{3}, then x^{18} + x^{12} + x^{6} + 1$ value is

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: A) 0

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Q:

If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?

A) 2	B) 8
C) 0	D) -8

Answer & Explanation Answer: C) 0

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Q:

If 4x -7 < x - 2 and 5x +2/3 ≥ 3x + 1; then x can take which of the following values?

A) 2	B) -1
C) -2	D) 1

Answer & Explanation Answer: D) 1

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Q:

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

A) 12	B) 20
C) 24	D) 10

Answer & Explanation Answer: D) 10

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Q:

If tan(A/2) = x, then the value of x is

A) √[(1 + cosA)/(1 - cosA)]	B) (1 - cosA)/(1 + cosA)
C) (1 + cosA)/(1 - cosA)	D) √[(1 - cosA)/(1 + cosA)]

Answer & Explanation Answer: D) √[(1 - cosA)/(1 + cosA)]

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Q:

What is the simplified value of $\sqrt{\frac{{(0.07)}^{2} + {(0.29)}^{2} - 0.0203}{{(0.07)}^{3} + {(0.29)}^{3}}}$

A) 0.6	B) 0.06
C) 1/0.6	D) 1/0.06

Answer & Explanation Answer: C) 1/0.6

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Q:

If cos 27° = x, the value of tan 63° is

A) x1-x2	B) x1+x2
C) 1-x2x	D) 1+x2x

Quantitative Aptitude - Arithmetic Ability Questions

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