Simplification problems
- 1. If (x ? 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0 , then what are the values of k1 and k2?
Options- A. k1 = 6, k2 = ? 1
- B. k 1 = 1, k 2 = ? 6
- C. k 1 = 1, k2 = 6
- D. k1 = ? 6, k2 = 1 Also asked in: Bank Exams
Correct Answer: k 1 = 1, k 2 = ? 6
- 2. If (x ? y) = 7, then what is the value of (x ? 15)3 ? (y ? 8)3 ?
Options- A. 0
- B. 343
- C. 392
- D. 399 Also asked in: Bank Exams
Correct Answer: 0
- 3. If x ? y ? ?18 = ?1 and x + y ? 3?2 = 1, then what is the value of 12xy(x2 ? y2) ?
Options- A. 0
- B. 1
- C. 512?2
- D. 612?2 Also asked in: Bank Exams
Correct Answer: 612?2
- 4. If p/q = r/s = t/u = ?5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)] ?
Options- A. 1/5
- B. 5
- C. 25
- D. 60 Also asked in: Bank Exams
Correct Answer: 5
- 5. If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C ? 3sin A cos B tan C ?
Options- A. 0
- B. 1
- C. 8
- D. 9 Also asked in: Bank Exams
Correct Answer: 0
- 6. If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x3 + y3 + z3 ? 3xyz ?
Options- A. 81
- B. 361
- C. 729
- D. 6561 Also asked in: Bank Exams
Correct Answer: 729
- 7. If x4 + (1/x4) = 34 , then what is the value of x3 ? (1/x3) ?
Options- A. 0
- B. 6
- C. 8
- D. 14 Also asked in: Bank Exams
Correct Answer: 14
- 8. If x = 1 ? y and x2 = 2 ? y2 , then what is the value of xy?
Options- A. 1
- B. 2
- C. -1/2
- D. -1 Also asked in: Bank Exams
Correct Answer: -1/2
- 9. What is the simplified value of (sec A + cos A)(sec A ? cos A)?
Options- A. 2 tan2A
- B. 2 sin2 A
- C. sin2 A tan2 A
- D. sin2A + tan2 A Also asked in: Bank Exams
Correct Answer: sin2A + tan2 A
- 10. What is the simplified value of cosec Acot A + tan A2 ?
Options- A. 2cos 2A
- B. 1 ? sin2 A
- C. sec2A
- D. secA tanA Also asked in: Bank Exams
Correct Answer: 1 ? sin2 A
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