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  • Question
  • If 2 cos ? = 2 ? sin ?, then what is the value of cos ??


  • Options
  • A. 1 or 3/5
  • B. 1 or ?1/2
  • C. ?1 or?1/2
  • D. ?1 or 3/5

  • Correct Answer
  • 1 or 3/5 

  • Tags: Bank Exams

    Simplification problems


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    • 1. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?

    • Options
    • A. 6
    • B. 9?3
    • C. 12
    • D. 12?3
    • Discuss
    • 2. If 3a ? (3/a) ? 3 = 0, then what is the value of a3 ? (1/a3) + 2 ?

    • Options
    • A. 0
    • B. 2
    • C. 4
    • D. 6
    • Discuss
    • 3. If (x/y)a-4 = (y/x)2a-5 , then what is the relation between x and y?

    • Options
    • A. x > y
    • B. Cannot be determined
    • C. x < y
    • D. x = y
    • Discuss
    • 4. If the expression px3 ? 2x2 ? qx + 18 is completely divisible by (x2 ? 9) , then what is the ratio between p and q respectively?

    • Options
    • A. 1:9
    • B. 1:3
    • C. 3:1
    • D. 9:1
    • Discuss
    • 5. If the expression px3 ? qx2 ? 7x ? 6 is completely divisible by x2 ? x ? 6 , then what is the value of p and q respectively?

    • Options
    • A. 0, 1
    • B. 1, 0
    • C. 2, 1
    • D. 1, 2
    • Discuss
    • 6. If x3+ 2x2? 5x + k is divisible by x + 1, then what is the value of k?

    • Options
    • A. -6
    • B. -1
    • C. 0
    • D. 6
    • Discuss
    • 7. If 3x + [1/(5x)] = 7, then what is the value of 5x/(15x2+ 15x + 1) ?

    • Options
    • A. 1/5
    • B. 1/10
    • C. 2/5
    • D. 10
    • Discuss
    • 8. If x + [1/(4x)] = 5/2, then what is the value of (64x6+ 1)/8x3 ?

    • Options
    • A. 110
    • B. 115
    • C. 125
    • D. 140
    • Discuss
    • 9. If x2+ x = 19 , then what is the value of (x + 5)2+ [1/(x + 5)2] ?

    • Options
    • A. 77
    • B. 79
    • C. 81
    • D. 83
    • Discuss
    • 10. What is the simplified value of sec4? ? sec2? tan2? ?

    • Options
    • A. cosec2?
    • B. Cot2?
    • C. sec2 ?
    • D. sec? tan ?
    • Discuss


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