Quantitative Aptitude Ques 154

Question: Directions: What should come in place of the question mark (?) in the following questions? [NICL (AO) 2015]

$ 25^{3}\times 4^{3}-800^{2}={{(?)}^{2}} $

Options:

A) 360000

B) 60000

C) 3600

D) 6000

E) None of these

Show Answer

Answer:

Correct Answer: E

Solution:

  • $ 25^{3}\times 4^{3}-800^{2}={{(?)}^{2}} $

$ \Rightarrow $ $ {{(?)}^{2}}=25\times 25\times 25\times 4\times 4\times 4-800\times 800 $

$ \Rightarrow $ $ {{(?)}^{2}}=1000000-640000=\sqrt{360000} $

$ \Rightarrow $ $ ?=600 $

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