If 13=13 w/((1-w)), then (2 w)²= ? · ABC26GN0105
Subject: General Aptitude · Chapter: Number System · Exam: Campus Recruitment 2009
If $13=\frac{13 w}{(1-w)}$, then $(2 w)^{2}=$ ?
(a)$\frac{1}{4}$
(b)$\frac{1}{2}$
(c)1
(d)2
Answer
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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