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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

What is the value of $\frac{\sqrt{36} + \sqrt[3]{729}}{\sqrt{81} + \sqrt[3]{64}}$

A) 5/12	B) 5/9
C) 4/9	D) 4/15

A) 5/12

B) 5/9

C) 4/9

D) 4/15

Answer & Explanation Answer: A) 5/12

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Filed Under: Simplification

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

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Filed Under: Quantitative Aptitude - Arithmetic Ability

What is the difference of the factors of the expression $x^{2}$ + (1/ $x^{2}$ ) – 6?

A) 0	B) 1
C) 2	D) 4

A) 0

B) 1

C) 2

D) 4

Answer & Explanation Answer: D) 4

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Filed Under: Quantitative Aptitude - Arithmetic Ability

$If {(x - \frac{1}{3})}^{2} + {(y - 4)}^{2} = 0, then the value of \frac{y + x}{y - x} ?$

A) 11/13	B) 13/11
C) 16/9	D) 9/16

A) 11/13

B) 13/11

C) 16/9

D) 9/16

Answer & Explanation Answer: B) 13/11

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If the angle subtended by the radius of the circle and vertex B of the triangle ABC is $40^{0}$ . Then calculate the value of $∠ B A C$

A) 350	B) 450
C) 500	D) 650

A) 350

B) 450

C) 500

D) 650

Answer & Explanation Answer: C) 500

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Filed Under: Quantitative Aptitude - Arithmetic Ability

What is the difference of the cube and square of the common root of ( $x^{2}$ – 8x + 15) = 0 and ( $y^{2}$ + 2y – 35) = 0?

A) 76	B) 100
C) 294	D) 318

A) 76

B) 100

C) 294

D) 318

Answer & Explanation Answer: B) 100

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Filed Under: Quantitative Aptitude - Arithmetic Ability

If $x^{2} + \frac{1}{x^{2}} - 6$ , then find the value of $\frac{2 x (x - 1)}{x^{3} - x^{2} - x + 1}$

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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Filed Under: Quantitative Aptitude - Arithmetic Ability

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