Simplification problems
- 1. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?
Options- A. 18
- B. 9
- C. 20
- D. 12 Also asked in: Bank Exams
Correct Answer: 20
- 2. Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ?PQR = 40°, then what is the value (in degrees) of ?QPR?
Options- A. 40
- B. 45
- C. 50
- D. 55 Also asked in: Bank Exams
Correct Answer: 50
- 3. What is the value of {(sin 4x + sin 4y) [(tan 2x ? 2y)]}/(sin 4x ? sin 4y)?
Options- A. tan 2 (2x + 2y)
- B. tan2
- C. cot (x ? y)
- D. tan (2x + 2y) Also asked in: Bank Exams
Correct Answer: tan (2x + 2y)
- 4. What is the value of (32 cos6x ? 48 cos4x + 18 cos2x ? 1)/[4 sin x cos x sin (60 ? x) cos (60 ? x) sin (60 + x) cos (60 + x)] ?
Options- A. 4 tan 6x
- B. 4 cot 6x
- C. 8 cot 6x
- D. 8 tan 6x Also asked in: Bank Exams
Correct Answer: 8 cot 6x
- 5. What is the value of [2 cot × (p ? A)/2]/[1 + tan2× (2p ? A)/2] ?
Options- A. 2 sin2 A/2
- B. cos A
- C. sin A
- D. 2 cos2 A/2 Also asked in: Bank Exams
Correct Answer: sin A
- 6. If tan ? + sec ? = (x ? 2)/(x + 2), then what is the value of cos ??
Options- A. (x2 ? 1)/(x2 + 1)
- B. (2x2 ? 4)/(2x2 + 4)
- C. (x2 ? 4)/(x2 + 4)
- D. (x2 ? 2)/(x2 + 2) Also asked in: Bank Exams
Correct Answer: (x2 ? 4)/(x2 + 4)
- 7. What is the value of (cos 40° ? cos 140°)/(sin 80° + sin 20°)?
Options- A. 2?3
- B. 2/?3
- C. 1/?3
- D. ?3 Also asked in: Bank Exams
Correct Answer: 2/?3
- 8. What is the value of [1 ? tan (90 ? ?) + sec (90 ? ?)]/[tan (90 ? ?) + sec (90 ? ?) + 1]?
Options- A. cot (?/2)
- B. tan (?/2)
- C. sin ?
- D. cos ? Also asked in: Bank Exams
Correct Answer: tan (?/2)
- 9. What is the value of [sin (90 ? A) + cos (180 ? 2A)]/[cos (90 ? 2A) + sin (180 ? A)]?
Options- A. sin (A/2) cos A
- B. cot (A/2)
- C. tan (A/2)
- D. sin A cos (A/2) Also asked in: Bank Exams
Correct Answer: tan (A/2)
- 10. If P = 22 + 62 + 102 + 142 + ... 942 and Q = 12 + 52 + 92 + ... 812 , then what is the value of P ? Q?
Options- A. 24645
- B. 26075
- C. 29317
- D. 31515 Also asked in: Bank Exams
Correct Answer: 26075
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