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  • Question

  • 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

  • Correct Answer
  • Only III 

    • Tags: Bank Exams

    Simplification problems

    Search Results

    • 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
      • Discuss
    • 2. If 56 × 75 × 60 × 84 × 210 = 2p × 3q × 5r × 7s , then what is the value of [(p + q)/s] + r?

    • Options
    • A. 6
    • B. 8
    • C. 12
    • D. 10
      • Discuss
    • 3. If A = 0.216 + 0.0080.36+0.04-0.12 & B = 0.729-0.0270.81+0.09+0.27 , then what is the value of A2+B22 ?

    • Options
    • A. 0.8
    • B. 1
    • C. 1.4
    • D. 2.2
      • Discuss
    • 4. If 7x + 6y = 5xy and 10x - 4y = 4xy, then value of x and y is

    • Options
    • A. 3, 2
    • B. 2, 3
    • C. 4, 2
    • D. 5, 6
      • Discuss
    • 5. If sin3A = x, then value of x is

    • Options
    • A. 3sinA + 4sin3A
    • B. 4sin3A - 3sinA
    • C. 4sin3A + sinA
    • D. 3sinA - 4sin3A
      • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
      • Discuss
    • 10. 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

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