Quantitative Aptitude Ques 2427

Question: If $ x+y=12 $ and $ xy=27, $ then $ x^{3}+y^{3} $ equal to

Options:

A) 752

B) 754

C) 756

D) 780

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ x+y=12 $ and $ xy=27 $ $ x^{3}+y^{3}={{(x+y)}^{3}}-3xy,(x+y) $ $ ={{(12)}^{3}}-3\times 27,(12) $ $ =1728-81\times 12 $ $ =1728-972=756 $