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 $