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Home Aptitude Simplification Comments

  • Question
  • What is the value of ( 1/3 - cot60°) ?


  • Options
  • A. (2-?3)/2?3
  • B. (?2-1)/?2
  • C. (1-?3)/3
  • D. (?3-4)/2?3

  • Correct Answer
  • (1­-?3)/3 

  • Tags: Bank Exams

    Simplification problems


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    • 1. Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?

    • Options
    • A. 800
    • B. 1600
    • C. 1200
    • D. 1400
    • Discuss
    • 2. What is the value of the expression a3 - 5 + 2816a , when a = 2?

    • Options
    • A. 2
    • B. 5
    • C. 7
    • D. 8
    • Discuss
    • 3. What is the value of sec2? + 1sec2? - 1 x 12cot? - tan? ?

    • Options
    • A. 0
    • B. 1
    • C. cosec ?
    • D. sec ?
    • Discuss
    • 4. A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

    • Options
    • A. 20?3
    • B. 30(?3 + 1)
    • C. 40(?3 ? 1)
    • D. 50(?3 ? 1)
    • Discuss
    • 5. What is the value of cos (90 ? B) sin (C ? A) + sin (90 + A) cos (B + C) ? sin (90 ? C) cos (A + B)?

    • Options
    • A. 1
    • B. sin ( A + B ? C)
    • C. cos ( B + C ? A)
    • D. 0
    • Discuss
    • 6. ? XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?

    • Options
    • A. 15/17
    • B. 17/8
    • C. 17/15
    • D. 8/17
    • Discuss
    • 7. If cot(A/2) = x, then the value of x is

    • Options
    • A. ?[(1 + cosA)/(1 - cosA)]
    • B. cosecA - cotA
    • C. ?[(1 - cosA)/2]
    • D. ?[(1 + cosA)/2]
    • Discuss
    • 8. If (1 - cosA)/(1 + cosA) = x, then the value of x is

    • Options
    • A. (cotA + cosecA)2
    • B. (cotA - cosecA)2
    • C. cotA - cosecA
    • D. cotA + cosecA
    • Discuss
    • 9. Find equation of the perpendicular bisector of segment joining the points (2,6) and (4,0)?

    • Options
    • A. x + 3y = 6
    • B. x + 3y = -6
    • C. x - 3y = -6
    • D. x - 3y = 6
    • Discuss
    • 10. Coefficient of x in (x + 8)(6 - 3x) is

    • Options
    • A. 18
    • B. 30
    • C. -18
    • D. -30
    • Discuss


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