Aptitude Question ID : 93523

If x : y = 3 : 1, then x^{3}-y^{3}:x^{3}+y^{3}=?
[A]11 : 10
[B]13 : 14
[C]14 : 13
[D]10 : 11

13 : 14
\frac{x}{y} = \frac{3}{1}
=> \frac{x^{3}}{y^{3}} = \frac{27}{1}
=> \frac{x^{3}-y^{3}}{x^{3}+y^{3}}=\frac{27-1}{27+1}= \frac{26}{28}
=> \frac{26}{28}= \frac{13}{14} = 13 : 14
Hence option [B] is the right answer.

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