Algebra MCQ Set 2

ALGEBRA MCQ SET 2

1. If x + 1/x = -14 , and x< -1 , what will be the value of x² – 1/x² ?

(a) -112√3

(b) 112√3

(c) -140√2

(d) 140√2

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Answer: B

2. If x² – 7x + 1 = 0 , and 0 < x< 1 , what is the value of x² – 1/x² ?

(a) 21√5

(b) -21√5

(c) 28√5

(d) -28√5

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Answer: B

3. If [x² + 1/x²] = 7 , and 0 < x < 1 , find the value of x² – 1/x² = 

(a) 3√5

(b) 4√3

(c) -4√3

(d) -3√5

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Answer: D

4. If x + 1/9x = 3 , then the value of 9x² + 1/9x² is :

(a) 87

(b) 81

(c) 77

(d) 79

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Answer: D

5. If x + 1/16x = 3 , then the value of 16x³ + 1/256x³ is :

(a) 423

(b) 441

(c) 432

(d) 414

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Answer: A

6. If x^8 – 433x^4 + 16 = 0 , x > 0 , then what is the value of (x + 2/x) .

(a) 5

(b) 7

(c) 4

(d) 9

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Answer: A

7. If x + 1/x = 2 , then find the value of (x^2723 + 1/x^3356) .

(a) 1

(b) 2

(c) 0

(d) -1

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 Answer: B

8. If x = 7 – 4√3 , then find the value of (x² + 1/x²) .

(a) 195

(b) 197

(c) 196

(d) 194

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Answer: D

9. If x = 8 + √5 and y = 8 – √5 , then find the value of x² + y² is :

(a) 138

(b) 143

(c) 140

(d) 124

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Answer: A

10. If (x + y)³ – (x – y)³ – 3y(2x² – 3y²) = ky³ , then find the value of k.

(a) 10

(b) 8

(c) 10.5

(d) 11

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Answer: D