Quantitative Aptitude Ques 407
Question: If $ \frac{2x}{2+\frac{1}{1+\frac{x}{1-x}}}=1, $ then value of x is
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \frac{2x}{2+\frac{1}{1+\frac{x}{1-x}}}=1 $
$ \Rightarrow $ $ \frac{2x}{2+( \frac{1-x}{1-x+x} )}=1 $
$ \Rightarrow $ $ \frac{2x}{2+\frac{1-x}{1}}=1 $
$ \Rightarrow $ $ \frac{2x}{3-x}=1 $
$ \Rightarrow $ $ 2x=3-x $
$ \Rightarrow $ $ 3x=3 $
$ \Rightarrow $ $ x=1 $
BETA
