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If a - b = 3 and $a^{2} + b^{2} = 25$ , then the value of ab is

A) 16	B) 8
C) 10	D) 15

A) 16

B) 8

C) 10

D) 15

Answer & Explanation Answer: B) 8

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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

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

A) 0

B) 1

C) 2

D) -1

Answer & Explanation Answer: A) 0

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If tanθ + cotθ = 5, then the value of $\tan^{2} θ + \cot^{2} θ is$

A) 22	B) 23
C) 24	D) 25

A) 22

B) 23

C) 24

D) 25

Answer & Explanation Answer: B) 23

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If l + m + n = 9 and $l^{2} + m^{2} + n^{2} = 31$ , then the value of lm + mn + nl will be

A) 22	B) 50
C) 25	D) -25

A) 22

B) 50

C) 25

D) -25

Answer & Explanation Answer: C) 25

Explanation:

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Filed Under: Simplification

If $\frac{2 p}{p^{2} - 2 p + 1} = \frac{1}{4}$ , then the value of (p + 1/p) will be

A) 8	B) 10
C) 12	D) None of these

A) 8

B) 10

C) 12

D) None of these

Answer & Explanation Answer: B) 10

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $\sin^{8} θ + \cos^{8} θ - 1 = 0$ , then what is the value of $\cos^{2} θ \sin^{2} θ$ (If θ ≠ 0 or π/2)?

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

A) -1

B) 0

C) 1

D) 2

Answer & Explanation Answer: D) 2

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

What is the simplified value of $[(\sec^{3} x - \tan^{3} x) / (\sec x - \tan x)] - 2 \tan^{2} x - \sec x \tan x ?$

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

A) 0

B) 2

C) -1

D) 1

Answer & Explanation Answer: D) 1

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If x + (1/x) = √13, then what is the value of $x^{5}$ – (1/ $x^{5}$ )?

A) 169	B) 169√3
C) 393	D) 507

A) 169

B) 169√3

C) 393

D) 507

Answer & Explanation Answer: C) 393

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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