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Home Aptitude Simplification Comments

  • Question
  • If cosec 45° - sin 30° = x, then x is


  • Options
  • A. 5/?3
  • B. (?6-1)/?2
  • C. ?3+2
  • D. (2?2-1)/2

  • Correct Answer
  • (2?2-1)/2 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If cosA = x, then x is

    • Options
    • A. ?(1 - cos2A)
    • B. ?(1 + sin2A)
    • C. ?(1 + cos2A)
    • D. ?(1 - sin2A)
    • Discuss
    • 2. If x - 2y = 2 and 3x + y = 20, then the value of (x,y) is

    • Options
    • A. (6, 2)
    • B. (4, 1)
    • C. (3, 2)
    • D. (5, 5)
    • Discuss
    • 3. If 9x - 6(3 - x) = 12, then the value of x is

    • Options
    • A. 2
    • B. 4
    • C. 6
    • D. 9
    • Discuss
    • 4. Which of the following quadratic equations has real roots?

    • Options
    • A. 4x2 - 3x + 6 = 0
    • B. 2x2 + 7x + 6 = 0
    • C. x2 - 2x + 4 = 0
    • D. 3x2 - 4x + 3 = 0
    • Discuss
    • 5. If (1 + cosA)/(1 - cosA) = x, then x is

    • Options
    • A. cot2A/(secA - 1)2
    • B. cot2A/(secA + 1)2
    • C. tan2A/(secA + 1)2
    • D. tan2A/(secA - 1)2
    • Discuss
    • 6. Mayur can complete a work in 27 hours. If he is joined by Jayantika who is 100% more efficient, in what time will they together finish the work?

    • Options
    • A. 6 hours
    • B. 3 hours
    • C. 9 hours
    • D. 10 hours
    • Discuss
    • 7. If 3x - 2(4 - 3x) < 2x - 5 < 3x + 3; then the value of x is

    • Options
    • A. 1
    • B. 2
    • C. 5
    • D. 0
    • Discuss
    • 8. Simplify (b2x 3a2z4 ) × (b2x 4a4z3 )/(a3b2z4 )

    • Options
    • A. b2x7a3z3
    • B. b3x7a3 z3
    • C. b2x5a3 z3
    • D. b2x7a3z2
    • Discuss
    • 9. If cos 240° = x, then value of x is

    • Options
    • A. -1/?2
    • B. -?3/2
    • C. 1/2
    • D. -1/2
    • Discuss
    • 10. If a + b = 9 and a2+ b2= 61 , then ab is

    • Options
    • A. 20
    • B. 10
    • C. 81
    • D. 142
    • Discuss


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