Simplification problems
- 1. What is the value of sec 4?/3?
Options- A. 2
- B. -2
- C. 2/?3
- D. -2/?3 Also asked in: Bank Exams
Correct Answer: -2
- 2. If 2x + 6y = 3xy and 10x - 3y = 4xy, find x, y.
Options- A. 3, 2
- B. 2, 3
- C. 4, 6
- D. 6, 4 Also asked in: Bank Exams
Correct Answer: 3, 2
- 3. If 2x- 3(4-2x) < 4x - 5 < 4x + 2x/3, then x can take which of the following values?
Options- A. 2
- B. 8
- C. 0
- D. -8 Also asked in: Bank Exams
Correct Answer: 0
- 4. If 1/(tanA + cotA) = x, then value of x is
Options- A. cosAsinA
- B. cos2Asin2A
- C. cosecAsecA
- D. cosec2Asec2A Also asked in: Bank Exams
Correct Answer: cosAsinA
- 5. P(4,2) and R(-2,0) are vertices of a rhombus PQRS. What is the equation of diagonal QS.
Options- A. x - 3y = -2
- B. 3x + y = 4
- C. 3x + y = -4
- D. x - 3y = 2 Also asked in: Bank Exams
Correct Answer: 3x + y = 4
- 6. If a ? b = 11 and ab = 24, then value of a2 + b2 is
Options- A. 169
- B. 37
- C. 73
- D. 48 Also asked in: Bank Exams
Correct Answer: 169
- 7. The simplified form of (x + 3)2 + (x - 1)2 is
Options- A. (x2 + 2x + 5)
- B. 2(x2 + 2x + 5)
- C. (x2 - 2x + 5)
- D. 2(x2 - 2x + 5) Also asked in: Bank Exams
Correct Answer: 2(x2 + 2x + 5)
- 8. What is the value of sin(11?/6)?
Options- A. 2/?3
- B. -2/?3
- C. -1/2
- D. 1/2 Also asked in: Bank Exams
Correct Answer: -1/2
- 9. If sinC - sinD = x, then value of x is
Options- A. 2sin[(C+D)/2]cos[(C-D)/2]
- B. 2cos[(C+D)/2]cos[(C-D)/2]
- C. 2cos[(C+D)/2]sin[(C-D)/2]
- D. 2sin[(C+D)/2]sin[(D-C)/2] Also asked in: Bank Exams
Correct Answer: 2cos[(C+D)/2]sin[(C-D)/2]
- 10. What is the simplest form of (1 + cosA)(cosecA cotA)?
Options- A. cosA
- B. tanA
- C. cotA
- D. sinA Also asked in: Bank Exams
Correct Answer: sinA
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