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Q:

$If x + \frac{1}{x} = 2, then x^{2} + \frac{1}{x^{2}} = ?$

A) 0	B) 2
C) 4	D) 8

Answer & Explanation Answer: B) 2

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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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Filed Under: Simplification

Q:

ABC is a triangle if $\sin (\frac{A + B}{2}) = \frac{\sqrt{3}}{2}$ then the value of Sin $\frac{c}{2}$ is

A) 12	B) 0
C) 1/2	D) 32

Answer & Explanation Answer: C) 1/2

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

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

A) 4⁄5	B) 3⁄5
C) 8/5	D) 1/5

Answer & Explanation Answer: C) 8/5

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If ${(a + \frac{1}{a})}^{2} = 3,$ then the value of $a^{6} - \frac{1}{a^{6}}$ will be

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

Answer & Explanation Answer: C) 0

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

If X= $\frac{3}{2}$ , then the value of $27 x^{3} - 54 x^{2} + 36 x - 11$ is

A) 1138	B) 1158
C) 1238	D) 1258

Answer & Explanation Answer: D) 1258

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Filed Under: Quantitative Aptitude - Arithmetic Ability

Q:

In each of the following questions find out the alternative which will replace the question mark.

Graceful : Clumsy :: ?:?

A) Horror : Sympathy	B) Laugh : Cry
C) Recapitulate : Synopsis	D) Encumber : Burden

Answer & Explanation Answer: B) Laugh : Cry

Explanation:

Graceful means showing elegance and clumsy means ungraceful or awkward. Both are opposite to each other. Similarly, laugh and cry are opposite to each other.

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Filed Under: Analogy

Q:

Choose the word which is nearly opposite in meaning to the given word:-

Refractory

A) Refreshing	B) Burdensome
C) Privileged	D) Manageable

Answer & Explanation Answer: D) Manageable

Explanation:

Refractorymeans unmanageablewhich is nearly opposite to manageable.Refreshing means revivifyingBurdensome means troublesomePrivileged means advantage

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Filed Under: English
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