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Home Aptitude Simplification Comments

  • Question
  • (885 x 885 x 885 + 115 x 115 x 115) / (885 x 885 + 115 x 115 - 885 x 115) is equal to?


  • Options
  • A. 115
  • B. 770
  • C. 885
  • D. 1000

  • Correct Answer
  • 1000 

    Explanation

    Given expression = (a3 + b3) / (a2 + b2 - ab)
    = (a + b)(a2 + b2 - ab) / (a2 + b2 - ab)
    = (a + b) = (885 + 115)
    = 1000


  • Simplification problems


    Search Results


    • 1. 
      If x/2y = 3/2, the value of (2x + y) / (x - 2y) equals?

    • Options
    • A. 1/7
    • B. 7
    • C. 7.1
    • D. None of these
    • Discuss
    • 2. 
      If x/y = 4/5, then the value of 4/7 + (2y - x)/(2y + x) is?

    • Options
    • A. 3/7
    • B. 1
    • C. 11/7
    • D. 2
    • Discuss
    • 3. 
      50 /? =? / 12 1/ 2

    • Options
    • A. 25/2
    • B. 4/25
    • C. 4
    • D. 25
    • Discuss
    • 4. 
      7 1/ 2 - [ 2 1/ 4 ÷ { 1 1/ 4 - 1/2(1 1/ 2 - 1/3 - 1/6)}] is equal to?

    • Options
    • A. 2/9
    • B. 1
    • C. 41/2
    • D. 177/288
    • Discuss
    • 5. 
      15 2/ 3 x 3 1/ 6 + 6 1/ 3 = 11 7/ 18 +?

    • Options
    • A. 395/9
    • B. 1374/9
    • C. 297/9
    • D. None of these
    • Discuss
    • 6. 
      4 2/ 17 ÷ 1 2/ 5 x 2 2/ 33 =?

    • Options
    • A. 42/13
    • B. 62/33
    • C. 61/11
    • D. 81/11
    • Discuss
    • 7. 
      If a/b = 1/3, then (3a + 2b) / (3a - 2b) is equal to?

    • Options
    • A. 3
    • B. -3
    • C. -5
    • D. -1
    • Discuss
    • 8. 
      When Simplified, the product (2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2 - 999/1001) is equal to?

    • Options
    • A. 991/1001
    • B. 1001/13
    • C. 1003/3
    • D. None of these
    • Discuss
    • 9. 
      How many 1/8's are there in 37 1/ 2?

    • Options
    • A. 300
    • B. 400
    • C. 500
    • D. Cannot be determined
    • Discuss
    • 10. 
      3/48 is what part of 1/12?

    • Options
    • A. 3/7
    • B. 1/12
    • C. 4/3
    • D. None of these
    • Discuss


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