SATHEE: Quantitative Aptitude Ques 1378

Quantitative Aptitude Ques 1378

Question: Find $ x, $ if $ \frac{17}{2}-{ \frac{11}{2}-( \frac{15}{2}-\frac{14}{5}\div x ) } $ $ \times \frac{17}{4}\div {{( \frac{1}{5} )}^{2}}=306 $

Options:

A) 3.2

B) $ -3.5 $

C) 3.8

D) $ -3.4 $

Show Answer

Answer:

Correct Answer: B

Solution:

Given, $ \frac{17}{2}-{ \frac{11}{2}-( \frac{15}{2}-\frac{14}{5}\div x ) }\times \frac{17}{4}\div {{( \frac{1}{5} )}^{2}}=306 $

$ \Rightarrow $ $ \frac{17}{2}-{ \frac{11}{2}-( \frac{15}{2}-\frac{14}{5x} ) }\times \frac{17}{4}\times 25=306 $

$ \Rightarrow $ $ \frac{17}{2}-{ \frac{11}{2}-\frac{15}{2}+\frac{14}{5x} }\times \frac{17}{4}\times 25=306 $

$ \Rightarrow $ $ \frac{17}{2}-{ \frac{55x-75x+28}{10x} }\times \frac{425}{4}=306 $

$ \Rightarrow $ $ \frac{17}{2}-{ \frac{28-20x}{10x} }\times \frac{425}{4}=306 $

$ \Rightarrow $ $ \frac{85x-(7-5x)\times 425}{10x}=306 $

$ \Rightarrow $ $ 85x-2975+2125x=3060x $

$ \Rightarrow $ $ x=-3.5 $

Quantitative Aptitude Ques 1377

Quantitative Aptitude Ques 1379

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