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 $