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Q:

For $x = \frac{4 \sqrt{6}}{\sqrt{2} + \sqrt{3}}, what is the value of \frac{x + 2 \sqrt{2}}{x - 2 \sqrt{2}} + \frac{x + 2 \sqrt{3}}{x - 2 \sqrt{3}}$

A) 1	B) √2
C) √3	D) 2

Answer & Explanation Answer: D) 2

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Filed Under: Simplification
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Q:

If $a^{x} = b^{y} = c^{z}$ and $b^{2} = ac$ , then what is $\frac{1}{x} + \frac{1}{z}$ equal to ?

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

Answer & Explanation Answer: C) 2/y

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Q:

What is $\frac{{(x - y)}^{3} + {(y - 2)}^{3} + {(z - x)}^{3}}{3 (x - y) (y - z) (z - x)}$ =?

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

Answer & Explanation Answer: A) 1

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Q:

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
P: Practical farming includes knowledge of fruit and vegetable farming.
Q: These schools need not necessarily have their own farms because the village itself will provide ample field work facilities.
R: Agriculture should be made compulsory in higher secondary schools; alternatively, the urban students can be taught town-planning, industrial planning etc.
S: Therefore, at this stage, only theoretical education for the village students would suffice.

A) QRSP	B) RPQS
C) RSPQ	D) QPRS

Answer & Explanation Answer: B) RPQS

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Filed Under: English
Exam Prep: Bank Exams

Q:

Improve the bracketed part of the sentence.
The equipment is (adapted to) cotton industries.

A) Adapted from	B) Adapted for
C) Adapted of	D) No improvement

Answer & Explanation Answer: B) Adapted for

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Filed Under: English
Exam Prep: Bank Exams

Q:

Improve the bracketed part of the sentence.
(No sooner the advertisement regarding the launch of new smart phone appeared) than there was a rush on the online website for prebooking the same.

A) No sooner the advertisement regarding the launched of new smart phone appeared	B) No sooner did the advertisement regarding the launch of new smart phone appeared
C) The advertisement regarding the launch of new smart phone was no sooner having appeared	D) No improvement

Answer & Explanation Answer: B) No sooner did the advertisement regarding the launch of new smart phone appeared

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Filed Under: English
Exam Prep: Bank Exams

Q:

What is the value $\frac{3}{2} (\frac{\cos 39}{\sin 51}) - \sqrt{\sin^{2} 39 + \sin^{2} 51}$

A) 1/2	B) 5/2
C) 0	D) Both 1/2 and 5/2

Answer & Explanation Answer: D) Both 1/2 and 5/2

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Filed Under: Simplification
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Q:

If x - 1/x = 1 then what is the value of $\frac{1}{x} (\frac{1}{x - 1} - \frac{1}{x + 1} + \frac{1}{x^{2} + 1} - \frac{1}{x^{2} - 1}) ?$

A) ±√5	B) 2/5
C) ±2/√5	D) ±√5/2

Answer & Explanation Answer: C) ±2/√5

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Filed Under: Simplification
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