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 $
BETA
