Quantitative Aptitude Ques 254
Question: Directions: What approximate value should come in place of question mark (?) in the given questions? (You are not expected to calculate exact value.) [NICL (AO) 2014]
$ \sqrt{{{(5)}^{2}}\times 14-6\times 7+{{(4)}^{?}}}=18 $
Options:
A) 1
B) 3
C) 4
D) 5
E) 2
Show Answer
Answer:
Correct Answer: E
Solution:
- $ \sqrt{{{(5)}^{2}}\times 14-6\times 7+{{(4)}^{?}}}=18 $
$ \Rightarrow $ $ \sqrt{25\times 14-6\times 7+{{(4)}^{?}}}=18 $
$ \Rightarrow $ $ \sqrt{350-42+{{(4)}^{?}}}=18 $
$ \Rightarrow $ $ [308+{{(4)}^{?}}]={{(18)}^{2}} $
$ \Rightarrow $ $ {{(4)}^{?}}=324-308=16 $
$ \Rightarrow $ $ {{(4)}^{?}}={{(4)}^{2}} $
$ \Rightarrow $ $ ?=2 $