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  • Question
  • If ab+ba=1, then the value of a3+b3 is


  • Options
  • A. 1
  • B. 0
  • C. -1
  • D. 2

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. If a2+b2+c2=14 and a+b+c=6 , then the value of ab+bc+ca is,

    • Options
    • A. 11
    • B. 12
    • C. 13
    • D. 14
    • Discuss
    • 2. The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is (use ?=227)

    • Options
    • A. 301.71 cm3
    • B. 310.71 cm3
    • C. 301.17 cm3
    • D. 310.17 cm3
    • Discuss
    • 3. The orthocentre of an obtuseangled triangle lies

    • Options
    • A. inside the triangle
    • B. outside the triangle
    • C. on one side of a triangle
    • D. none of these
    • Discuss
    • 4. In a circle, two arcs of unequal length subtend angles in the ratio 5:3. If the smaller angle is 45° then the measure of other angle in degrees.

    • Options
    • A. 75°
    • B. 72°
    • C. 60°
    • D. 78°
    • Discuss
    • 5. Simplify the equation 0.733+0.2730.732+0.272-0.73×0.27

    • Options
    • A. 1
    • B. 0.4087
    • C. 0.73
    • D. 0.27
    • Discuss
    • 6. A, B and C are three points on a circle with centre O. The tangent at C meets BA produced at T. If ?ATC = 30° and ?ACT = 48°,then what is the value of ?AOB ?

    • Options
    • A. 78°
    • B. 96°
    • C. 102°
    • D. 108°
    • Discuss
    • 7. If 3sin?+4cos?=5 (0

    • Options
    • A. 1/5
    • B. 2/5
    • C. 3/5
    • D. 4/5
    • Discuss
    • 8. If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?

    • Options
    • A. 1
    • B. 13/11
    • C. 13/5
    • D. 4
    • Discuss
    • 9. If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?

    • Options
    • A. 95/36
    • B. 97/36
    • C. 87/25
    • D. 623/27
    • Discuss
    • 10. If (5x ? y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 ? 4xy)/(9x2 + 16y2 + 24xy) ?

    • Options
    • A. 0
    • B. 3/7
    • C. 18/49
    • D. 1/6
    • Discuss


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