SATHEE: Quantitative Aptitude Ques 1004

Quantitative Aptitude Ques 1004

Question: Directions: What value will come in place of question mark (?) in the following questions?

$ 3\frac{1}{4}+2\frac{1}{2}-1\frac{5}{6}=\frac{{{?}^{2}}}{10}+1\frac{5}{12} $

Options:

A) 25

B) $ \sqrt{5} $

C) 625

D) 15

E) 5

Show Answer

Answer:

Correct Answer: E

Solution:

$ 3\frac{1}{4}+2\frac{1}{2}-1\frac{5}{6}=\frac{{{?}^{2}}}{10}+1\frac{5}{12} $

$ \Rightarrow $ $ \frac{13}{4}+\frac{5}{2}-\frac{11}{6}=\frac{{{?}^{2}}}{10}+\frac{17}{12} $

$ \Rightarrow $ $ \frac{39+30-22}{12}=\frac{6\times {{(?)}^{2}}+85}{60} $

$ \Rightarrow $ $ 5\times 47=6\times {{?}^{2}}+85 $

$ \Rightarrow $ $ 235-85=6\times {{?}^{2}} $
$ \Rightarrow $ $ 150=6\times {{?}^{2}} $

$ \Rightarrow $ $ {{?}^{2}}=\frac{150}{6}=25 $
$ \Rightarrow $ $ ?=5 $

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