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If $x + \frac{1}{x} = \sqrt{3}, then x^{18} + x^{12} + x^{6} + 1$ value is

A) 0	B) 1
C) 2	D) 3

A) 0

B) 1

C) 2

D) 3

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

If a = 299, b = 298, c = 297 then the value of $2 a^{3} + 2 b^{3} + 2 c^{3} - 6 abc$ is

A) 5154	B) 5267
C) 5364	D) 5456

A) 5154

B) 5267

C) 5364

D) 5456

Answer & Explanation Answer: C) 5364

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x^{2} + y^{2} + 6 x + 5 = 4 (x - y)$ then x - y is

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

A) 1

B) -1

C) 0

D) 4

Answer & Explanation Answer: A) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

If a + b = 1, then $a^{4} + b^{4} - a^{3} - b^{3} - 2 a^{2} b^{2} + ab$ is equal to

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

A) 1

B) 2

C) 4

D) 0

Answer & Explanation Answer: D) 0

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Filed Under: Simplification
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A complete factorisation of $x^{4} + 64$ is

A) (x2 + 8)2	B) (x2 + 8)(x2 - 8)
C) (x2 - 4x + 8)(x2 -4x - 8)	D) (x2 + 4x + 8)(x2 - 4x + 8)

A) (x2 + 8)2

B) (x2 + 8)(x2 - 8)

C) (x2 - 4x + 8)(x2 -4x - 8)

D) (x2 + 4x + 8)(x2 - 4x + 8)

Answer & Explanation Answer: D) (x2 + 4x + 8)(x2 - 4x + 8)

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Filed Under: Simplification
Exam Prep: Bank Exams

If $x + \frac{1}{x} = c + \frac{1}{c}$ , then the value of x =

A) C, 1/C	B) C, C2
C) C, 2C	D) 0,1

A) C, 1/C

B) C, C2

C) C, 2C

D) 0,1

Answer & Explanation Answer: A) C, 1/C

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Filed Under: Simplification
Exam Prep: Bank Exams

If P = 99, then the value of $P (P^{2} + 3 P + 3)$ is

A) 9999	B) 999999
C) 99999	D) 9999999

A) 9999

B) 999999

C) 99999

D) 9999999

Answer & Explanation Answer: B) 999999

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Filed Under: Simplification
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Simplify : $\sqrt[3]{- 2197} \times \sqrt[3]{- 125} \div \sqrt[3]{\frac{27}{512}}$

A) 492/7	B) 520/3
C) 554/7	D) 571/5

A) 492/7

B) 520/3

C) 554/7

D) 571/5

Answer & Explanation Answer: B) 520/3

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