Quantitative Aptitude Ques 308
Question: If $ \frac{3-5x}{2x}+\frac{3-5y}{2y}+\frac{3-5z}{2z}=0, $ then the value of $ \frac{2}{x}+\frac{2}{y}+\frac{2}{z} $ is
Options:
A) 5
B) 15
C) 20
D) 10
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \frac{3-5x}{2x}+\frac{3-5y}{2y}+\frac{3-5z}{2z}=0 $
$ \Rightarrow $ $ \frac{3-5x}{2x}=0 $
$ \Rightarrow $ $ x=3/5 $ Similarly, $ y=3/5 $ and $ z=3/5 $
$ \therefore $ $ \frac{2\times 5}{3}+\frac{2\times 5}{3}+\frac{2\times 5}{3} $
$ \Rightarrow $ $ \frac{10+10+10}{3}=10 $