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  • Question

  • A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3?3. What is the value of (a2 + b2 + c2)/(a + b + c) ?


  • Options
  • A. 35/3
  • B. 37/3
  • C. ? 105/11
  • D. ? 105/13

  • Correct Answer
  • ? 105/11 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 1. If x = 2 +?3, y = 2 ? ?3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

    • Options
    • A. 25
    • B. 22
    • C. 17
    • D. 43
      • Discuss
    • 2. If x = (?5) + 1 and y = (?5) ? 1, then what is the value of (x2/y2) + (y2/x2) + 4[(x/y) + (y/x)] + 6 ?

    • Options
    • A. 31
    • B. 23?5
    • C. 27?5
    • D. 25
      • Discuss
    • 3. If P = 7 + 4?3 and PQ = 1, then what is the value of (1/P2) + (1/Q2) ?

    • Options
    • A. 148
    • B. 189
    • C. 194
    • D. 204
      • Discuss
    • 4. Which of the following statement(s) is/are true? I. (65)1/6 > (17)1/4 > (12)1/3 II. (17)1/4 > (65)1/6 > (12)1/3 III. (12)1/3 > (17)1/4 > (65)1/6

    • Options
    • A. Only I
    • B. Only III
    • C. Only II
    • D. None of these
      • Discuss
    • 5. If (333 + 333 + 333) (233 + 233) = 6x , then what is the value of x?

    • Options
    • A. 34
    • B. 35
    • C. 33
    • D. 33.5
      • Discuss
    • 6. If x = (a/b) + (b/a), y = (b/c) + (c/b) and z = (c/a) + (a/c), then what is the value of xyz ? x2 ? y2 ? z2 ?

    • Options
    • A. ? 4
    • B. 2
    • C. ? 1
    • D. ? 6
      • Discuss
    • 7. If [a + (1/a)]2 ? 2[a ? (1/a)] = 12 , then which of the following is a value of 'a'?

    • Options
    • A. ? 8 + ?3
    • B. ? 8 ? ?3
    • C. ? 8 + ?5
    • D. None of these
      • Discuss
    • 8. If x2 ? 4x + 1 = 0 , then what is the value of x9 + x7 ? 194x5 ? 194x3 ?

    • Options
    • A. 4
    • B. ? 4
    • C. 1
    • D. ? 1
      • Discuss
    • 9. If x + y = 3, then what is the value of x3 + y3 + 9xy ?

    • Options
    • A. 15
    • B. 81
    • C. 27
    • D. 9
      • Discuss
    • 10. A = (x8 ? 1)/(x4 + 1) and B = (y4 ? 1)/(y2 + 1). If x = 2 and y = 9, then what is the value of A2 + 2AB + AB2?

    • Options
    • A. 96475
    • B. 98625
    • C. 92425
    • D. 89125
      • Discuss

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