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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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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 sec (4x - 50°) = cosec(50° - x), Then the value of x is

A) 45°	B) 90°
C) 30°	D) 60°

A) 45°

B) 90°

C) 30°

D) 60°

Answer & Explanation Answer: C) 30°

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What is the value of $[(\sec 2 θ + 1) \sqrt{\sec^{2} θ - 1}] x \frac{1}{2} (cotθ - tanθ)$ ?

A) 0	B) 1
C) cosec θ	D) sec θ

A) 0

B) 1

C) cosec θ

D) sec θ

Answer & Explanation Answer: B) 1

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If $cotθ = 4$ , then the value of $\frac{5 sinθ + 3 cosθ}{5 sinθ - 3 cosθ}$ is

A) 1/9	B) 1/3
C) 3	D) 9

A) 1/9

B) 1/3

C) 3

D) 9

Answer & Explanation Answer: D) 9

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If $a + \frac{1}{b} = 1 and b + \frac{1}{c} = 1 then c + \frac{1}{a} = ?$

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

A) 0

B) 2

C) 1

D) 3

Answer & Explanation Answer: C) 1

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The solution set of 4x - 3y = 10 and 3x + y = 14 is

A) {(5, 3)}	B) {(4, 2)}
C) {(11, 1)}	D) {(2, 3)}

A) {(5, 3)}

B) {(4, 2)}

C) {(11, 1)}

D) {(2, 3)}

Answer & Explanation Answer: B) {(4, 2)}

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What is the value of (cos 45 - 1/3) ?

A) 2-√3	B) 2/√3
C) (3-√2)/3√2	D) 1/2√3

A) 2-√3

B) 2/√3

C) (3-√2)/3√2

D) 1/2√3

Answer & Explanation Answer: C) (3-√2)/3√2

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The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

A) 20	B) 24
C) 18	D) 16

A) 20

B) 24

C) 18

D) 16

Answer & Explanation Answer: A) 20

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Filed Under: Percentage
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