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 $

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