Simplification problems
- 1. If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?
Options- A. 31
- B. 26
- C. 28
- D. 24 Also asked in: Bank Exams
Correct Answer: 28
- 2. 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 Also asked in: Bank Exams
Correct Answer: -3
- 3. 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 Also asked in: Bank Exams
Correct Answer: 7/4
- 4. 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 Also asked in: Bank Exams
Correct Answer: 12
- 5. 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 Also asked in: Bank Exams
Correct Answer: 1/2
- 6. 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 Also asked in: Bank Exams
Correct Answer: x2 + 2x + 1 = 0
- 7. If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?
Options- A. 4
- B. 2
- C. 3
- D. 5 Also asked in: Bank Exams
Correct Answer: 3
- 8. Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?
Options- A. 415
- B. 465
- C. 440
- D. Cannot be determined Also asked in: Bank Exams
Correct Answer: 465
- 9. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?
Options- A. 1 : 2
- B. 1 : ?3
- C. 2 : ?3
- D. 2 : 3 Also asked in: Bank Exams
Correct Answer: 1 : ?3
- 10. What is the value of [(sin x + sin y) (sin x ? sin y)]/[(cosx + cosy) (cosy ? cosx)]?
Options- A. 0
- B. 1
- C. ? 1
- D. 2 Also asked in: Bank Exams
Correct Answer: 1
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