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- Question
If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?
Options- A. 31
- B. 26
- C. 28
- D. 24
- Correct Answer
- 28
- 1. If P = 7 + 4?3 and PQ = 1, then what is the value of 1/P2 + 1/Q2 ?
Options- A. 196
- B. 194
- C. 206
- D. 182 Discuss
- 2. If x + y + z = 0, then what is the value of (3y2 + x2 + z2 )/(2y2 ? xz)?
Options- A. 2
- B. 1
- C. 3/2
- D. 5/3 Discuss
- 3. What is the value of 4600+540+1280+250+36 ?
Options- A. 69
- B. 68
- C. 70
- D. 72 Discuss
- 4. What is the value of 143 + 163 + 183 + ... + 303?
Options- A. 134576
- B. 120212
- C. 115624
- D. 111672 Discuss
- 5. A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ? 15)?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 6. x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?
Options- A. -1
- B. 1
- C. 3
- D. -3 Discuss
- 7. If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?
Options- A. 9/5
- B. 11/7
- C. 7/11
- D. 7/4 Discuss
- 8. If x3 + y3 + z3 = 3(1 + xyz), P = y + z ? x, Q = z + x ? y and R = x + y ? z, then what is the value of P3 + Q3 + R3 ? 3PQR?
Options- A. 9
- B. 8
- C. 12
- D. 6 Discuss
- 9. If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?
Options- A. 1
- B. 1/2
- C. 2
- D. 1/3 Discuss
- 10. If ? and ? are the roots of equation x2 ? x + 1 = 0, then which equation will have roots ?3 and ?3?
Options- A. x2 + 2x + 1 = 0
- B. x2 ? 2x ? 1 = 0
- C. x2 + 3x ? 1 = 0
- D. x2 ? 3x + 1 = 0 Discuss
Simplification problems
Search Results
Correct Answer: 194
Correct Answer: 2
Correct Answer: 68
Correct Answer: 111672
Correct Answer: 5
Correct Answer: -3
Correct Answer: 7/4
Correct Answer: 12
Correct Answer: 1/2
Correct Answer: x2 + 2x + 1 = 0
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