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Q:

If $2 x + \frac{2}{9 x} = 4$ , then the value of $27 x^{3} + \frac{1}{27 x^{3}}$

A) 180	B) 198
C) 234	D) 252

Answer & Explanation Answer: B) 198

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Filed Under: Simplification
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Q:

The value of $\frac{sinθ}{1 + cosθ} + \frac{sinθ}{1 - cosθ}$

A) 2sinθ	B) 2cosθ
C) 2secθ	D) 2cosecθ

Answer & Explanation Answer: D) 2cosecθ

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Q:

If $\frac{a^{2} + b^{2}}{c^{2}} = \frac{b^{2} + c^{2}}{a^{2}} = \frac{c^{2} + a^{2}}{b^{2}} = \frac{1}{k} (k \neq 0)$ then k =

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

Answer & Explanation Answer: D) 1/2

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Q:

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

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

Answer & Explanation Answer: A) 0

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Q:

The simplest value of $\frac{3 \sqrt{8} - 2 \sqrt{12} + \sqrt{20}}{3 \sqrt{18} - 2 \sqrt{27} + \sqrt{45}}$ is

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

Answer & Explanation Answer: B) 2/3

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Q:

If $\frac{a}{q - r} + \frac{b}{r - p} - \frac{c}{p - q}$ , then find the value of (pa + qp + rc) is

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

Answer & Explanation Answer: A) 0

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Q:

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".

A black and white goat were grazing.

A) The white and the black goat	B) A black and a white goat
C) A black and a white goat	D) no improvement

Answer & Explanation Answer: B) A black and a white goat

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Filed Under: English
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Q:

A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part which will improve the sentence. Choose the correct alternative and click the button corresponding to it. In case no improvement is needed, click the button corresponding to "No improvement".

A city that is set on a hill cannot be hidden.

A) be hid	B) hide
C) be hiding	D) no improvement

Answer & Explanation Answer: D) no improvement

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Filed Under: English
Exam Prep: Bank Exams

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