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  • Question
  • (117 x 117 x 117 - 98 x 98 x 98) / (117 x 117 + 117 x 98 + 98 x 98) =?


  • Options
  • A. 215
  • B. 311
  • C. 19
  • D. 29

  • Correct Answer
  • 19 

    Explanation

    Given expression = (a3 - b3) / (a2 + ab + b2), where a=117, b =98
    = [(a-b)(a2 + ab + b2)] / (a2+ab+b2)
    =(a-b)
    =117 - 98
    = 19.


  • Simplification problems


    Search Results


    • 1. 
      [137 x 137 + 137 x 133 + 133 x 133] / [137 x 137 x 137 - 133 x 133 x 133] =?

    • Options
    • A. 4
    • B. 270
    • C. 1/4
    • D. 1/270
    • Discuss
    • 2. 
      If a * b = a + b + a/b, Then the value of 12 * 4 is

    • Options
    • A. 48
    • B. 19
    • C. 20
    • D. 21
    • Discuss
    • 3. 
      A board 80 inches long is divided into 4 equal parts. What is the length of each part?

    • Options
    • A. 20 inches
    • B. 25 inches
    • C. 15 inches
    • D. 18 inches
    • Discuss
    • 4. 
      A number when multiplied by five times of itself give the value equal to 1445. What is the number?

    • Options
    • A. 18
    • B. 15
    • C. 19
    • D. 17
    • Discuss
    • 5. 
      A 120 m long rope is cut into 3 equal parts. What is the length of each part?

    • Options
    • A. 40 m
    • B. 30 m
    • C. 50 m
    • D. 25 m
    • Discuss
    • 6. 
      (343 x 343 x 343 + 257 x 257 x 257 ) / (343 x 343 - 343 x 257 + 257 + 257) =?

    • Options
    • A. 8600
    • B. 800
    • C. 600
    • D. 2600
    • Discuss
    • 7. 
      3 ÷ [(8 - 5) ÷ {(4 - 2) ÷ (2 + 8/13)}] =?

    • Options
    • A. 13/17
    • B. 68/13
    • C. 17/13
    • D. 13/68
    • Discuss
    • 8. 
      {7 1/ 2 + 1/2 ÷ 1/2 of 1/4 - 2/5 x 2 1/ 3 ÷ 1 7/ 8 of (1 2/ 5 - 1 1/ 3) } =?

    • Options
    • A. 31/5
    • B. 21/24
    • C. 41/30
    • D. None of these
    • Discuss
    • 9. 
      3/4 ÷ 2 1/ 4 of 2/3 - [(1/2 - 1/3) / (1/2 + 1/3) x 3 1/ 3 + 5/6 =?

    • Options
    • A. 7/18
    • B. 49/54
    • C. 2/3
    • D. 1/6
    • Discuss
    • 10. 
      5/6 ÷ 6/7 x? - 8/9 ÷ 1 3/ 5 + 3/4 x 3 1/ 3 = 2 7/ 9

    • Options
    • A. 7/6
    • B. 6/7
    • C. 1
    • D. None of these
    • Discuss


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