Quantitative Aptitude Ques 1382

Question: Find $ \frac{{{(288+155)}^{2}}-{{(288-155)}^{2}}}{288\times 155} $

Options:

A) 8

B) 4

C) 2

D) 6

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \because $ $ \frac{{{(288+155)}^{2}}-{{(288-155)}^{2}}}{288\times 155} $ $ =\frac{(288+155+288-155)(288+155-288+155)}{288\times 155} $ $ =\frac{(288+288)(155+155)}{288\times 155} $ $ =\frac{2\times 288\times 2\times 155}{288\times 155}=4. $
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