Simplification problems
- 1. If x2 ? 12x + 33 = 0 , then what is the value of (x ? 4)2 + [1/(x ? 4)2] ?
Options- A. 16
- B. 14
- C. 18
- D. 20 Also asked in: Bank Exams
Correct Answer: 14
- 2. If a4 + 1 = [a2 /b2 ] (4b2 ? b4 ? 1) , then what is the value of a4 + b4 ?
Options- A. 2
- B. 16
- C. 32
- D. 64 Also asked in: Bank Exams
Correct Answer: 2
- 3. If a + b = 10 and ab- 13 = -ba - 11 , then what is the value of 3ab + 4a2 + 5b2 ?
Options- A. 450
- B. 300
- C. 600
- D. 750 Also asked in: Bank Exams
Correct Answer: 300
- 4. If 3x + 4y ? 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z ? 4 = 18, then what is the value of x + y + z ? 34?
Options- A. ? 28
- B. ? 14
- C. ? 31
- D. ? 45 Also asked in: Bank Exams
Correct Answer: ? 31
- 5. If x + 3y - 2z4 = 6, x + 232y + 3z = 33 and 17x + y +z + 2z =9, then what is the value of 46x+ 131y ?
Options- A. 414
- B. 364
- C. 384
- D. 464 Also asked in: Bank Exams
Correct Answer: 414
- 6. What is the value of [sin (y ? z) + sin (y + z) + 2 sin y]/[sin (x ? z) + sin (x + z) + 2 sin x]?
Options- A. cos x sin y
- B. (sin y)/(sin x)
- C. sin z
- D. sin x tan y Also asked in: Bank Exams
Correct Answer: (sin y)/(sin x)
- 7. What is the value of {[sin (x + y) ? 2 sin x + sin (x ? y)]/[cos (x ? y) + cos (x + y) ? 2 cos x]} × [(sin 10x ? sin 8x)/(cos 10x + cos 8x)]?
Options- A. 0
- B. tan2x
- C. 1
- D. 2 tan x Also asked in: Bank Exams
Correct Answer: tan2x
- 8. What is the value of [sin (90? 10?) ? cos (p ? 6?)]/ [cos (p/2 ? 10?) ? sin (p ? 6?)]?
Options- A. tan 2?
- B. cot 2?
- C. cot ?
- D. cot 3? Also asked in: Bank Exams
Correct Answer: cot 2?
- 9. If sec ? (cos ? + sin ?) = ?2, then what is the value of (2 sin ?)/(cos ? ? sin ?)?
Options- A. 3?2
- B. 3/?2
- C. 1/?2
- D. ?2 Also asked in: Bank Exams
Correct Answer: ?2
- 10. What is the value of 1sin490-?+1cos290-? - 1 ?
Options- A. tan2? sec2?
- B. sec4?
- C. tan4?
- D. tan2? sin2? Also asked in: Bank Exams
Correct Answer: tan2? sec2?
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