Quantitative Aptitude Ques 255

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]

$ [{{(165)}^{2}}/75\times 12]/36={{(?)}^{2}} $

Options:

A) 13

B) 169

C) 121

D) 11

E) 231

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ [{{(165)}^{2}}/75\times 12]/36={{(?)}^{2}} $

$ \Rightarrow $ $ [ \frac{{{(165)}^{2}}}{75}\times 12 ]/36={{(?)}^{2}} $

$ \Rightarrow $ $ [ \frac{165\times 165}{75}\times 12 ]/36={{(?)}^{2}} $

$ \Rightarrow $ $ [ \frac{165\times 11}{5}\times 12 ]/36={{(?)}^{2}} $

$ \Rightarrow $ $ [33\times 11\times 12]/36={{(?)}^{2}} $

$ \Rightarrow $ $ (?)=11 $

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