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  • Question
  • 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

  • Correct Answer
  • 11 

  • Tags: Bank Exams

    Simplification problems


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    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is 540 and fee of each girl is 25% less than that of a boy. The sum of fees of boys & girl is

    • Options
    • A. Rs. 720600
    • B. Rs. 720800
    • C. Rs. 720900
    • D. Rs. 721000
    • Discuss
    • 6. If ab+ba=1, then the value of a3+b3 is

    • Options
    • A. 1
    • B. 0
    • C. -1
    • D. 2
    • Discuss
    • 7. 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
    • 8. If 3sin?+4cos?=5 (0

    • Options
    • A. 1/5
    • B. 2/5
    • C. 3/5
    • D. 4/5
    • Discuss
    • 9. 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
    • 10. 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


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