Simplification problems
- 1. If cos 45° - sec 60° = x, then the value of x is
Options- A. (?3-4)/2?3
- B. 1
- C. (1-2?2)/?2
- D. (?3+?2)/2 Also asked in: Bank Clerk
Correct Answer: (1-2?2)/?2
- 2. If (1 + cosA)/2 = x, then the value of x is
Options- A. sin(A/2)
- B. ?sin(A/2)
- C. ?cos(A/2)
- D. cos2(A/2) Also asked in: Bank Exams
Correct Answer: cos2(A/2)
- 3. If secA + tanA = x, then the value of x is
Options- A. cosA/(1 + sinA)
- B. ?[cosA/(1 - sinA)]
- C. ?[cosA/(1 + sinA)]
- D. cosA/(1 - sinA) Also asked in: Bank Exams
Correct Answer: cosA/(1 - sinA)
- 4. A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find M?
Options- A. (18/13, 12/13)
- B. (18/13, -12/13)
- C. (-18/13, -12/13)
- D. (-18/13, 12/13) Also asked in: Bank Exams
Correct Answer: (18/13, -12/13)
- 5. Find length of the arc whose central angle is 45° and radius of the circle is 28 cm?
Options- A. 11 cm
- B. 33 cm
- C. 44 cm
- D. 22 cm Also asked in: Bank Exams
Correct Answer: 22 cm
- 6. If (9 - 3x) - (17x - 10) = -1, then the value of x is
Options- A. 1
- B. -1
- C. 9/10
- D. -0.9 Also asked in: Bank Exams
Correct Answer: 1
- 7. If a - b = -7 and a2+ b2= 85 , then find ab.
Options- A. 18
- B. -30
- C. -44
- D. 60 Also asked in: Bank Exams
Correct Answer: 18
- 8. If 2x - 2(3 + 4x) < -1 - 2x > -5/3 - x/3; then x can take which of the following values?
Options- A. 1
- B. 2
- C. -2
- D. -1 Also asked in: Bank Exams
Correct Answer: -1
- 9. If 2cosAsinB = x, then the value of x is?
Options- A. sin(A+B) + sin(A-B)
- B. cos(A++ cos(A-B)
- C. sin(A+B) - sin(A-B)
- D. cos(A-B) - cos(A+B) Also asked in: Bank Exams
Correct Answer: sin(A+- sin(A-B)
- 10. Factors of 48x3- 8x2- 93x- 45 are
Options- A. (4x + 3)(4x - 3)(3x - 5)
- B. (4x - 3)(4x - 3)(3x- 5)
- C. (4x + 3)(4x + 3)(3x - 5)
- D. (4x - 3)(4x + 3)(3x + 5) Also asked in: Bank Exams
Correct Answer: (4x + 3)(4x + 3)(3x - 5)
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