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  • Question
  • (2.247)3 + (1.730)3 + (1.023)3 - 3 x 2.247 x 1.730 x 1.023 / ( (2.247)2 + (1.730)2 + (1.023)2 - (2.247 x 1.730) - (1.730 x 1.023) - (2.247 x 1.023) )


  • Options
  • A. 1.730
  • B. 4
  • C. 5
  • D. 5.247

  • Correct Answer


  • Explanation

    We know that, a3 + b3 + c3 - 3abc = (a + b + c ) ( a2 + b2 + c2 - ab - bc - ca )
    ? (a + b + c) = ( a3 + b3 + c3 - 3abc ) / ( a2 + b2 + c2 - ab - bc - ca ) .......................(i)
    Given that in question,
    (2.247)3 + (1.730)3 + (1.023)3 - 3 x 2.247 x 1.730 x 1.023 / (2.247)2 + (1.730)2 + (1.023)2 - (2.247 x 1.730) - (1.730 x 1.023) - (2.247 x 1.023)
    Apply the formula given in Equation (i) and we will get,
    = ( a + b + c )
    = ( 2.247 + 1.730 + 1.023) [ from eq. (i) ]
    = 5.000 = 5


  • More questions

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    • 2. 
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    • 3. 
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    • 5. Which of the following numbers is divisible by each one of 3, 7, 9 and 11?

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    • 6. 
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