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What is the value of ${[\tan (90 - A) + \cot (90 - A)]}^{2} / [2 \sec^{2} (90 - 2 A)]$ ?

A) 0	B) 1
C) 2	D) – 1

A) 0

B) 1

C) 2

D) – 1

Answer & Explanation Answer: C) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

A) tan2θ sec2θ

B) sec4θ

C) tan4θ

D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x + 3 y - \frac{2 z}{4} = 6, x + \frac{2}{3} (2 y + 3 z) = 33 and \frac{1}{7} (x + y + z) + 2 z = 9,$ then what is the value of 46x+ 131y ?

A) 414	B) 364
C) 384	D) 464

A) 414

B) 364

C) 384

D) 464

Answer & Explanation Answer: A) 414

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Filed Under: Simplification
Exam Prep: Bank Exams

If a + b = 10 and $\sqrt{\frac{a}{b}} - 13 = - \sqrt{\frac{b}{a}} - 11$ , then what is the value of $3 ab + 4 a^{2} + 5 b^{2}$ ?

A) 450	B) 300
C) 600	D) 750

A) 450

B) 300

C) 600

D) 750

Answer & Explanation Answer: B) 300

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Filed Under: Simplification
Exam Prep: Bank Exams

If $\sqrt[3]{\frac{1 - a}{a}} + 9 = 19 - \sqrt[3]{\frac{a}{1 - a}}$ , then what is the value of a?

A) 3/10, 7/10	B) 1/10, 9/10
C) 2/5, 3/5	D) 1/5, 4/5

A) 3/10, 7/10

B) 1/10, 9/10

C) 2/5, 3/5

D) 1/5, 4/5

Answer & Explanation Answer: B) 1/10, 9/10

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

If $a^{4} + 1 = [a^{2} / b^{2}] (4 b^{2} - b^{4} - 1)$ , then what is the value of $a^{4} + b^{4}$ ?

A) 2	B) 16
C) 32	D) 64

A) 2

B) 16

C) 32

D) 64

Answer & Explanation Answer: A) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x^{2} - 12 x + 33 = 0$ , then what is the value of ${(x - 4)}^{2} + [1 / {(x - 4)}^{2}]$ ?

A) 16	B) 14
C) 18	D) 20

A) 16

B) 14

C) 18

D) 20

Answer & Explanation Answer: B) 14

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Filed Under: Simplification
Exam Prep: Bank Exams

If one root of the equation ${Ax}^{2} + Bx + C = 0$ is two and a half times the others, then which of the following is TRUE?

A) 7B2 = 3 CA	B) 7B2 = 4 CA
C) 7B2 = 36 CA	D) 10B2 = 49 CA

A) 7B2 = 3 CA

B) 7B2 = 4 CA

C) 7B2 = 36 CA

D) 10B2 = 49 CA

Answer & Explanation Answer: D) 10B2 = 49 CA

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Filed Under: Simplification
Exam Prep: Bank Exams

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