Simplification problems
- 1. If x and y are natural numbers such that x + y = 2017, then what is the value of (? 1)x+ (? 1)y ?
Options- A. 2
- B. ? 2
- C. 0
- D. 1 Also asked in: Bank Exams
Correct Answer: 0
- 2. If [?(a2 + b2 + ab)] + [?(a2 + b2 ? ab)] = 1, then what is the value of (1 ? a2 )(1 ? b2 )?
Options- A. 1/4
- B. 4/7
- C. 5/4
- D. 3/4 Also asked in: Bank Exams
Correct Answer: 3/4
- 3. If 3x + 4y ? 11 = 18 and 8x ? 6y + 12 = 6, then what is the value of 5x ? 3y ? 9?
Options- A. 18
- B. ? 9
- C. ? 27
- D. ? 18 Also asked in: Bank Exams
Correct Answer: ? 9
- 4. If a + b + c = 7/12, 3a ? 4b + 5c = 3/4 and 7a ? 11b ? 13c = ? 7/12, then what is the value of a + c?
Options- A. 1/2
- B. 5/12
- C. 3/4
- D. 1/4 Also asked in: Bank Exams
Correct Answer: 5/12
- 5. The ratio of the curved surface area and total surface area of a right circular cylinder is 2 : 5. If the total surface area is 3080 cm2, then what is the volume (in cm3) of the cylinder?
Options- A. 4312?6
- B. 3822?6
- C. 4522?6
- D. 4642?6 Also asked in: Bank Exams
Correct Answer: 4312?6
- 6. What is the value of [(cos 7A + cos 5A)÷(sin 7A ? sin 5A)]?
Options- A. tan A
- B. tan 4 A
- C. cot 4 A
- D. cot A Also asked in: Bank Exams
Correct Answer: cot A
- 7. What is the value of [1 ? sin (90 ? 2A)] / [1 + sin (90 + 2A)]?
Options- A. sinA cosA
- B. cot2A
- C. tan2A
- D. sin2A cosA Also asked in: Bank Exams
Correct Answer: tan2A
- 8. What is the value of sin 75°+ sin 15° ?
Options- A. ?3
- B. 2?3
- C. ?(3/2)
- D. 3/?2 Also asked in: Bank Exams
Correct Answer: ?(3/2)
- 9. What is the value of [(cos 3? + 2cos 5? + cos 7?)÷(cos ? + 2cos 3? + cos 5?)] + sin 2? tan 3??
Options- A. cos 2?
- B. sin 2?
- C. tan 2?
- D. cot ? sin 2? Also asked in: Bank Exams
Correct Answer: cos 2?
- 10. What is the value of [2 sin (45 + ?) sin (45 ? ?)]/cos 2??
Options- A. 0
- B. tan 2?
- C. cot 2?
- D. 1 Also asked in: Bank Exams
Correct Answer: 1
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