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 $