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Home Aptitude Simplification Comments

  • Question
  • 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]

  • Correct Answer
  • 2cos[(C+D)/2]sin[(C-D)/2] 

  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the value of sin(11?/6)?

    • Options
    • A. 2/?3
    • B. -2/?3
    • C. -1/2
    • D. 1/2
    • Discuss
    • 2. 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)
    • Discuss
    • 3. If a ? b = 11 and ab = 24, then value of a2 + b2 is

    • Options
    • A. 169
    • B. 37
    • C. 73
    • D. 48
    • Discuss
    • 4. 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
    • Discuss
    • 5. If 1/(tanA + cotA) = x, then value of x is

    • Options
    • A. cosAsinA
    • B. cos2Asin2A
    • C. cosecAsecA
    • D. cosec2Asec2A
    • Discuss
    • 6. What is the simplest form of (1 + cosA)(cosecA cotA)?

    • Options
    • A. cosA
    • B. tanA
    • C. cotA
    • D. sinA
    • Discuss
    • 7. What should be added to 3(x - 2y) to obtain 2(3x + y) - 5(2x + 3)?

    • Options
    • A. 8y - 7x - 15
    • B. 8y - 7x + 15
    • C. 8y + 7x + 15
    • D. 8y + 7x - 15
    • Discuss
    • 8. 2sinAsinB is equal to

    • 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)
    • Discuss
    • 9. For triangle PQR, what is the equation of altitude PS if coordinates of P, Q and R are (5,1), (0,4) and (2,3) respectively?

    • Options
    • A. 7x + 2y = 33
    • B. 2x - 7y = 9
    • C. 2x - 7y = -3
    • D. 7x + 2y = -33
    • Discuss
    • 10. If 51.97 (81.18 - x ) - 59.39 = 5.268, then value of x will be

    • Options
    • A. - 24.912
    • B. - 68.492
    • C. 93.868
    • D. 197.808
    • Discuss


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