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What is $\frac{{(x - y)}^{3} + {(y - 2)}^{3} + {(z - x)}^{3}}{3 (x - y) (y - z) (z - x)}$ =?

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

A) 1

B) 0

C) 1/3

D) 3

Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value $\frac{3}{2} (\frac{\cos 39}{\sin 51}) - \sqrt{\sin^{2} 39 + \sin^{2} 51}$

A) 1/2	B) 5/2
C) 0	D) Both 1/2 and 5/2

A) 1/2

B) 5/2

C) 0

D) Both 1/2 and 5/2

Answer & Explanation Answer: D) Both 1/2 and 5/2

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Filed Under: Simplification
Exam Prep: Bank Exams

If ${cosec}^{2} θ = 625 / 576$ , then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?

A) 1	B) 31/17
C) 17/31	D) 14/25

A) 1

B) 31/17

C) 17/31

D) 14/25

Answer & Explanation Answer: C) 17/31

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Filed Under: Simplification
Exam Prep: Bank Exams

In the figure $∠ AMB = 130 °$ , then what is the value (in deg) of $∠ ABQ$ ?

A) 40	B) 50
C) 60	D) 90

A) 40

B) 50

C) 60

D) 90

Answer & Explanation Answer: B) 50

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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

A) ±√5	B) 2/5
C) ±2/√5	D) ±√5/2

A) ±√5

B) 2/5

C) ±2/√5

D) ±√5/2

Answer & Explanation Answer: C) ±2/√5

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Filed Under: Simplification
Exam Prep: Bank Exams

If x+y+z = 0, then what is the value of $\frac{x^{2}}{3 z} + \frac{y^{3}}{3 xz} + \frac{z^{2}}{3 x}$ ?

A) 0	B) xz
C) y	D) 3y

A) 0

B) xz

C) y

D) 3y

Answer & Explanation Answer: C) y

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x = \sqrt{\frac{2 + \sqrt{3}}{2 - \sqrt{3}}}$ , then what is the value of $x^{2} + x - 9$ ?

A) 0	B) 3√2
C) 3√3	D) 5√3

A) 0

B) 3√2

C) 3√3

D) 5√3

Answer & Explanation Answer: D) 5√3

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Filed Under: Simplification
Exam Prep: Bank Exams

If x + y = 5, $x^{3} + y^{3} = 35$ , then what is the positive difference between x and y?

A) 0	B) 1
C) 5	D) 6

A) 0

B) 1

C) 5

D) 6

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

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