Quantitative Aptitude Ques 1714

Question: What is the value of $ \frac{725\times 725\times 725+371\times 371\times 371}{725\times 725-725\times 371+371\times 371}=? $

Options:

A) 9610

B) 1960

C) 1096

D) 1016

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{725\times 725\times 725+371\times 371\times 371}{725\times 725-725\times 371+371\times 371} $ $ =725+371=1096 $ $ [ \because \frac{a^{3}+b^{3}}{a^{2}-ab+b^{2}}=\frac{(a+b)(a^{2}-ab+b^{2})}{(a^{2}-ab+b^{2})}=a+b ] $
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