If 13=13 w/((1-w)), then (2 w)2= ?

ABC26GN0105 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2009 · Marks: · Difficulty:

If $13=\frac{13 w}{(1-w)}$, then $(2 w)^{2}=$ ?

(a)$\frac{1}{4}$

(b)$\frac{1}{2}$

(c)1

(d)2

Answer

Answer (as printed): C

Explanation

$\frac{13}{1}=\frac{13 w}{(1-w)} \Rightarrow \frac{w}{(1-w)}=1 \Rightarrow w=1-w \Rightarrow 2 w=1 \Rightarrow w=\frac{1}{2}$. $\therefore(2 w)^{2}=4 w^{2}=4 \times \frac{1}{4}=1$.

Explanation as extracted from the printed page; notation may be imperfect.

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