Simplification problems
- 1. If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?
Options- A. 97
- B. (2?3) + 2
- C. (4?6) + 1
- D. 98 Also asked in: Bank Exams
Correct Answer: 97
- 2. If the difference between the roots of the equation Ax2 ? Bx + C = 0 is 4, then which of the following is TRUE?
Options- A. B2 ? 16A2 = 4AC + 4B2
- B. B2 ? 10A2 = 4AC + 6A2
- C. B2 ? 8A2 = 4AC + 10A2
- D. B2 ? 16A2 = 4AC + 8B2 Also asked in: Bank Exams
Correct Answer: B2 ? 10A2 = 4AC + 6A2
- 3. ? and ? are the roots of quadratic equation. If ? + ? = 8 and ? ? ? = 2?5, then which of the following equation will have roots ?4 and ?4 ?
Options- A. x2 ? 1522x + 14641 = 0
- B. x2 + 1921x + 14641 = 0
- C. x2? 1764x + 14641 = 0
- D. x2+ 2520x + 14641 = 0 Also asked in: Bank Exams
Correct Answer: x2 ? 1522x + 14641 = 0
- 4. If a and b are the roots of the equation Px2 ? Qx + R = 0 , then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a) ?
Options- A. Q2-2P2R+PPR2
- B. Q2-2PRR+PPR2
- C. Q2-2R2P+RP2R2
- D. Q2-2PR2R+2PP2R2 Also asked in: Bank Exams
Correct Answer: Q2-2PRR+PPR2
- 5. If x2 ? 16x ? 59 = 0 , then what is the value of (x ? 6)2 + [1/(x ? 6)2] ?
Options- A. 14
- B. 18
- C. 16
- D. 20 Also asked in: Bank Exams
Correct Answer: 18
- 6. If A and B are the roots of the equation Ax2 ? A2x + AB = 0 , then what is the value of A and B respectively?
Options- A. 1, 0
- B. 1, 1
- C. 0, 2
- D. 0, 1 Also asked in: Bank Exams
Correct Answer: 1, 0
- 7. If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35 , then what is the value of abc?
Options- A. 48
- B. 24
- C. 36
- D. 42 Also asked in: Bank Exams
Correct Answer: 24
- 8. If x3 ? 4x2 + 19 = 6(x ? 1) , then what is the value of [x2 + (1/x ? 4)] ?
Options- A. 3
- B. 5
- C. 6
- D. 8 Also asked in: Bank Exams
Correct Answer: 6
- 9. If 2x + 3y ? 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?
Options- A. 32
- B. 52
- C. 64
- D. 46 Also asked in: Bank Exams
Correct Answer: 52
- 10. PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?
Options- A. 5/?3
- B. 10?3
- C. 10/?3
- D. 5?2 Also asked in: Bank Exams
Correct Answer: 5/?3
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