| 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.) |
| \[{{[{{(7.99)}^{2}}-{{(13.001)}^{2}}+{{(4.01)}^{3}}]}^{2}}=?\] |
A) \[-1800\]
B) \[1450\]
C) \[-1660\]
D) \[1681\]
E) \[-1450\]
Correct Answer: D
Solution :
| \[?={{[{{(7.99)}^{2}}-{{(13.001)}^{2}}+{{(4.01)}^{3}}]}^{2}}\] |
| \[\Rightarrow \]\[?\approx {{[{{8}^{2}}-{{13}^{2}}+{{4}^{3}}]}^{2}}\] |
| \[\Rightarrow \]\[?\approx {{[64-169+64]}^{2}}\] |
| \[\Rightarrow \]\[?\approx {{(-\,\,41)}^{2}}\]\[\Rightarrow \]\[?\approx 1681\] |
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