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Q:

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

A) 9	B) 18
C) 27	D) 1

Answer & Explanation Answer: B) 18

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If (x+1/x) = 5, then the value of $\frac{5 x}{x^{2} + 5 x + 1}$ ?

A) 1/3	B) 1/4
C) 1/2	D) 1/5

Answer & Explanation Answer: C) 1/2

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Q:

The value of $Cot 17 ° (Cot 73 ° {Cos}^{2} 22 ° + \frac{1}{Cot 17 ° {Sec}^{2} 68 °})$ is

A) 0	B) 1
C) 2	D) √3

Answer & Explanation Answer: B) 1

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Q:

If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then $x^{3} + y^{3} + z^{3}$ is equal to

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

Answer & Explanation Answer: B) 1

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Q:

If $\frac{2 + a}{a} + \frac{2 + b}{b} + \frac{2 + c}{c} = 4$ , then the value of $\frac{ab + bc + ca}{abc}$ is

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

Answer & Explanation Answer: D) 1/2

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Q:

If the numbers $\sqrt[3]{9}, \sqrt[4]{20}, \sqrt[6]{25}$ are arranged in ascending order, then the right arrangement is

A) 256 < 204 < 93	B) 93 < 204 < 256
C) 204 < 256 < 93	D) 256 < 93 < 204

Answer & Explanation Answer: D) 256 < 93 < 204

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Filed Under: Square Roots and Cube Roots
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Q:

If $θ > 0$ , be an acute angle, then the value of it in degrees satisfying $\frac{\cos^{2} θ - 3 cosθ + 2}{\sin^{2} θ} = 1$ is

A) 90°	B) 30°
C) 45°	D) 60°

Answer & Explanation Answer: D) 60°

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Q:

If $x^{2} - 3 x + 1 = 0, then x + \frac{1}{x} is (x \neq 0)$

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

Answer & Explanation Answer: C) 3

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