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If $a - \frac{1}{a} = 1, then a^{2} + \frac{1}{a^{2}}$ ?

A) 1	B) 3
C) 2	D) 4

A) 1

B) 3

C) 2

D) 4

Answer & Explanation Answer: B) 3

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Filed Under: Simplification
Exam Prep: Bank Exams

When $x^{2} + ax + b$ is divided by (x-1), the remainder is 15 and when $x^{2} + bx + a$ is divided by (x+1), the remainder is -1, then the value of $a^{2} + b^{2}$ is

A) 10	B) 20
C) 8	D) 16

A) 10

B) 20

C) 8

D) 16

Answer & Explanation Answer: A) 10

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Filed Under: Simplification
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If $tanθ = \frac{7}{24}$ then find the value of p such that $\frac{tanθ - secθ}{sinθ} = \frac{- p}{28}$

A) 25	B) 75
C) 50	D) 100

A) 25

B) 75

C) 50

D) 100

Answer & Explanation Answer: B) 75

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Filed Under: Simplification
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Solve the following:

22 - (1/4){-5 - (-48) $\div$ (-16)}

A) 0	B) 24
C) 22	D) 21

A) 0

B) 24

C) 22

D) 21

Answer & Explanation Answer: B) 24

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Filed Under: Simplification
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What is the value of $\frac{\sqrt[3]{64} \times \sqrt{121}}{\sqrt{289} - \sqrt{169}}$ ?

A) 12	B) 11
C) 1/11	D) 1/12

A) 12

B) 11

C) 1/11

D) 1/12

Answer & Explanation Answer: B) 11

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Filed Under: Simplification
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In the given figure, the angle bisectors of B and C of an isosceles triangle intersect at point O. Find the angle BOC (in degree), when $∠ ABC = ∠ ACB = 75 °$ .