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Home Aptitude Simplification Comments

  • Question
  • 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

  • Correct Answer
  • 1096 

    Explanation

    [725 x 725 x 725 + 371 x 371 x 371] / [725 x 725 - 725 x 371 + 371 x 371]
    = 725 + 371 = 1096
    [? (a3 + b3) / (a2 - ab + b2) = (a + b) (a2 - ab + b2)/(a2 - ab + b2) = a + b ]


  • Simplification problems


    Search Results


    • 1. 
      [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
    • 2. 
      (0.49) 4 x (0.343) 4 ÷ (0.2401) 4 = (70 ÷ 100) ? + 3

    • Options
    • A. 3
    • B. 1
    • C. 4
    • D. 7
    • Discuss
    • 3. 
      (5568 ÷ 87) 1/3 + (72 x 2) 1/2 = (?) 1/2

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

    • Options
    • A. 811/12
    • B. 1012/13
    • C. 711/12
    • D. 911/13
    • Discuss
    • 5. 
      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
    • 6. 
      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
    • 7. 
      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
    • 8. 
      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
    • 9. 
      If a + b + c = 14 and a 2 + b 2 + c 2 = 96, then (ab + bc + ca) =?

    • Options
    • A. 51
    • B. 55
    • C. 50
    • D. 65
    • Discuss
    • 10. 
      The highest score in an inning was 3/11 of the total score and the next highest was 3/11 of the remainder. If the score differ by 18, find the total score.

    • Options
    • A. 244
    • B. 242
    • C. 294
    • D. 255
    • Discuss


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