# QA – Placement Quizzes | Algebra | Question 11

If 2x/(1 + 1/(1 + x/(1 – x))) = 1, then find the value of x.**(A)** 1/3**(B)** 2/3**(C)** 1/2**(D)** 3/2**Answer:** **(B)****Explanation:** We have

2x/(1 + 1/(1 + x/(1-x))) = 1

2x/(1 + 1/((1-x+x)/(1-x))) = 1

2x/(1 + 1/(1/(1-x))) = 1

2x/(1 + 1-x) = 1

2x/(2-x) = 1

2x = 2-x

3x = 2

x = 2/3.

Quiz of this Question

Please comment below if you find anything wrong in the above post