Quantitative Aptitude Ques 211

Question: The value of $ \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}} $ is

Options:

A) $ \frac{3}{4} $

B) $ 1\frac{3}{4} $

C) $ 1\frac{1}{3} $

D) $ 1\frac{7}{9} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \frac{\sqrt{80}-\sqrt{112}}{\sqrt{45}-\sqrt{63}}=\frac{\sqrt{16\times 5}-\sqrt{16\times 7}}{\sqrt{9\times 5}-\sqrt{9\times 7}}=\frac{4\sqrt{5}-4\sqrt{7}}{3\sqrt{5}-3\sqrt{7}} $ $ =\frac{4,(\sqrt{5}-\sqrt{7})}{3,(\sqrt{5}-\sqrt{7})}=\frac{4}{3}=1\frac{1}{3} $
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