Quantitative Aptitude Ques 752

Question: Directions: What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

$ {{[{{(7.99)}^{2}}-{{(13.001)}^{2}}+{{(4.01)}^{3}}]}^{2}}=? $

Options:

A) $ -1800 $

B) $ 1450 $

C) $ -1660 $

D) $ 1681 $

E) $ -1450 $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ ?={{[{{(7.99)}^{2}}-{{(13.001)}^{2}}+{{(4.01)}^{3}}]}^{2}} $

$ \Rightarrow $ $ ?\approx {{[8^{2}-13^{2}+4^{3}]}^{2}} $

$ \Rightarrow $ $ ?\approx {{[64-169+64]}^{2}} $

$ \Rightarrow $ $ ?\approx {{(-41)}^{2}} $
$ \Rightarrow $ $ ?\approx 1681 $