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Simplification problems


  • 1. If (333 + 333 + 333) (233 + 233) = 6x , then what is the value of x?

  • Options
  • A. 34
  • B. 35
  • C. 33
  • D. 33.5
  • Also asked in: Bank Exams

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  • 2. 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
  • Also asked in: Bank Exams

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  • 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
  • Also asked in: Bank Exams

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  • 4. 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
  • Also asked in: Bank Exams

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  • 5. 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
  • Also asked in: Bank Exams

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  • 6. 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
  • Also asked in: Bank Exams

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  • 7. 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
  • Also asked in: Bank Exams

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  • 8. 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
  • Also asked in: Bank Exams

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  • 9. If x2 ? 4x + 1 = 0 , then what is the value of x9 + x7 ? 194x5 ? 194x3 ?

  • Options
  • A. 4
  • B. ? 4
  • C. 1
  • D. ? 1
  • Also asked in: Bank Exams

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  • 10. If x + y = 3, then what is the value of x3 + y3 + 9xy ?

  • Options
  • A. 15
  • B. 81
  • C. 27
  • D. 9
  • Also asked in: Bank Exams

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