Quantitative Aptitude Ques 2247

Question: If $ m-5n=2, $ then the value of $ (m^{3}-125n^{3}-30mn) $ is

Options:

A) 6

B) 7

C) 8

D) 9

Show Answer

Answer:

Correct Answer: C

Solution:

  • Given, $ m-5n=2 $ … (i) On cubing both sides, we get $ {{(m-5n)}^{3}}={{(2)}^{3}} $

$ \Rightarrow $ $ m^{3}-125n^{3}-3(m)(5n)(m-5n)=8 $

$ \Rightarrow $ $ m^{3}-125n^{3}-15mn(2)=8 $ [from Eq, (i)]

$ \Rightarrow $ $ m^{3}-125n^{3}-30mn=8 $

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