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  • Question
  • (0.49) 4 x (0.343) 4 ÷ (0.2401) 4 = (70 ÷ 100) ? + 3


  • Options
  • A. 3
  • B. 1
  • C. 4
  • D. 7

  • Correct Answer


  • Explanation

    (70 ÷ 100) ? + 3 = (0.49)4 x (0.343)4 ÷ (0.2401)4
    (0.7) ? + 3 = (0.49 x 0.343/0.2401)4
    (0.7)? + 3 = (0.7)4
    On comparing the exponents both sides, we get
    ? + 3 = 4
    ? ? = 4 - 3 = 1


  • Simplification problems


    Search Results


    • 1. 
      (5568 ÷ 87) 1/3 + (72 x 2) 1/2 = (?) 1/2

    • Options
    • A. 256
    • B. 4
    • C. ?2
    • D. 16
    • Discuss
    • 2. 
      3 2/ 3 + 2 3/ 4 + 1 1/ 2 =?

    • Options
    • A. 811/12
    • B. 1012/13
    • C. 711/12
    • D. 911/13
    • Discuss
    • 3. 
      The value of (0.96) 3 - (0.1) 3/ [(0.96) 2 + (0.096) + 0.01] is?

    • Options
    • A. 0.86
    • B. 1.06
    • C. 0.95
    • D. 0.97
    • Discuss
    • 4. 
      If ? 2 = 1.4142, then the value of 7 / (4 + ? 2) is?

    • Options
    • A. 3.5858
    • B. 4.4142
    • C. 1.2929
    • D. 1.5858
    • Discuss
    • 5. 
      Solve [(238 + 131) 2 + (238 - 131) 2] / (238 x 238 + 131 x 131)

    • Options
    • A. 4
    • B. 2
    • C. 8
    • D. 9
    • Discuss
    • 6. 
      [0.5 x 0.5 x 0.5 + 0.2 x 0.2 x 0.2 + 0.3 x 0.3 x 0.3 - 3 x 0.5 x 0.3 x 0.2] / [0.5 x 0.5 + 0.2 x 0.2 + 0.3 x 0.3 - 0.5 x 0.2 - 0.2 x 0.3 - 0.5 x 0.3]

    • Options
    • A. 1
    • B. 0.6
    • C. 0.4
    • D. 0.03
    • Discuss
    • 7. 
      What is the value of
      [725 x 725 x 725 + 371 x 371 x 371] / [725 x 725 - 725 x 371 + 371 x 371] =?

    • Options
    • A. 9610
    • B. 1960
    • C. 1096
    • D. 1016
    • Discuss
    • 8. 
      If a 2 + b 2 = 234 and ab = 108, find the value of (a + b) / (a - b).

    • Options
    • A. 10
    • B. 8
    • C. 5
    • D. 4
    • Discuss
    • 9. 
      If x + 1/x = 2, then 2x 2 + 2/3x 2 + 5x + 3 =?

    • Options
    • A. 4/11
    • B. 1/2
    • C. 13/4
    • D. 21/3
    • Discuss
    • 10. 
      If a, b and c are non-zero, a + (1/b) = 1 and b + (1/c) = 1, then the value of abc is

    • Options
    • A. -3
    • B. 1
    • C. -1
    • D. 3
    • Discuss


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