Quantitative Aptitude Ques 806

Question: Let $ a=\sqrt{6}=\sqrt{5}, $ $ b=\sqrt{5}-2, $ $ c=2-\sqrt{3}. $ If $ \sqrt{6}=2\cdot 44, $ $ \sqrt{5}=2.23 $ and $ \sqrt{3}=1.73, $ then point out the correct alternative among the four alternatives given below.

Options:

A) $ a<c<b $

B) $ b<c<a $

C) $ a<b<c $

D) $ b<a<c $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ a=\sqrt{6}-\sqrt{5} $ $ =2.44-2.23=0.21 $ $ b=\sqrt{5}-2 $ $ =2.23-2=0.23 $ $ c=2-\sqrt{3} $ $ =2-1.73=0.27 $ Clearly, $ a<b<c $