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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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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

A) 2

B) 1

C) 0

D) 1/2

Answer & Explanation Answer: D) 1/2

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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

A) -1

B) 1

C) -2

D) 2

Answer & Explanation Answer: B) 1

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0 826

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

A) 0

B) 1

C) 2

D) √3

Answer & Explanation Answer: B) 1

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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

A) 1/3

B) 1/4

C) 1/2

D) 1/5

Answer & Explanation Answer: C) 1/2

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0 859

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

A) 9

B) 18

C) 27

D) 1

Answer & Explanation Answer: B) 18

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0 667

θ is a positive acute angle and sinθ cosθ = 0, then the value of secθ + cosecθ is

A) 2	B) √2
C) 2√2	D) 3√2

A) 2

B) √2

C) 2√2

D) 3√2

Answer & Explanation Answer: C) 2√2

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0 874

The value of $\frac{2 Tan 53 °}{Cot 37 °} - \frac{Cot 80 °}{Tan 10 °}$ ?

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

A) 3

B) 2

C) 1

D) 0

Answer & Explanation Answer: C) 1

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0 830

If x , y, and z are real numbers such that ${(x - 3)}^{2} + {(y - 4)}^{2} + {(z - 5)}^{2} = 0$ then (x+y+z) is equal to

A) -12	B) 0
C) 8	D) 12

A) -12

B) 0

C) 8

D) 12

Answer & Explanation Answer: D) 12

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0 715

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