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  • Question

  • 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

  • Correct Answer
  • 18 

    • Tags: Bank Exams

    Simplification problems

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    • 1. 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
    • 2. ? 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
    • 3. 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
    • 4. If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?

    • Options
    • A. 97
    • B. (2?3) + 2
    • C. (4?6) + 1
    • D. 98
      • Discuss
    • 5. Which of the following statement(s) is/are TRUE? I. ?5 + ?5 > ?7 + ?3 II. ?6 + ?7 > ?8 + ?5 III. ?3 + ?9 > ?6 + ?6

    • Options
    • A. Only I
    • B. Only I and II
    • C. Only II and III
    • D. Only I and III
      • Discuss
    • 6. 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
    • 7. 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
      • Discuss
    • 8. 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
    • 9. 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
    • 10. 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

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