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  • Question

  • If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35 , then what is the value of abc?


  • Options
  • A. 48
  • B. 24
  • C. 36
  • D. 42

  • Correct Answer
  • 24 

    • Tags: Bank Exams

    Simplification problems

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    • 1. If A and B are the roots of the equation Ax2 ? A2x + AB = 0 , then what is the value of A and B respectively?

    • Options
    • A. 1, 0
    • B. 1, 1
    • C. 0, 2
    • D. 0, 1
      • Discuss
    • 2. If x2 ? 16x ? 59 = 0 , then what is the value of (x ? 6)2 + [1/(x ? 6)2] ?

    • Options
    • A. 14
    • B. 18
    • C. 16
    • D. 20
      • Discuss
    • 3. If a and b are the roots of the equation Px2 ? Qx + R = 0 , then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a) ?

    • Options
    • A. Q2-2P2R+PPR2
    • B. Q2-2PRR+PPR2
    • C. Q2-2R2P+RP2R2
    • D. Q2-2PR2R+2PP2R2
      • Discuss
    • 4. ? and ? are the roots of quadratic equation. If ? + ? = 8 and ? ? ? = 2?5, then which of the following equation will have roots ?4 and ?4 ?

    • Options
    • A. x2 ? 1522x + 14641 = 0
    • B. x2 + 1921x + 14641 = 0
    • C. x2? 1764x + 14641 = 0
    • D. x2+ 2520x + 14641 = 0
      • Discuss
    • 5. If the difference between the roots of the equation Ax2 ? Bx + C = 0 is 4, then which of the following is TRUE?

    • Options
    • A. B2 ? 16A2 = 4AC + 4B2
    • B. B2 ? 10A2 = 4AC + 6A2
    • C. B2 ? 8A2 = 4AC + 10A2
    • D. B2 ? 16A2 = 4AC + 8B2
      • Discuss
    • 6. If x3 ? 4x2 + 19 = 6(x ? 1) , then what is the value of [x2 + (1/x ? 4)] ?

    • Options
    • A. 3
    • B. 5
    • C. 6
    • D. 8
      • Discuss
    • 7. If 2x + 3y ? 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

    • Options
    • A. 32
    • B. 52
    • C. 64
    • D. 46
      • Discuss
    • 8. PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

    • Options
    • A. 5/?3
    • B. 10?3
    • C. 10/?3
    • D. 5?2
      • Discuss
    • 9. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

    • Options
    • A. 18
    • B. 9
    • C. 20
    • D. 12
      • Discuss
    • 10. Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ?PQR = 40°, then what is the value (in degrees) of ?QPR?

    • Options
    • A. 40
    • B. 45
    • C. 50
    • D. 55
      • Discuss

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