If $$13 = \frac{{13w}}{{\left( {1 - w} \right)}}$$ , then (2w)2 = ?
A. $$\frac{1}{4}$$
B. $$\frac{1}{2}$$
C. 1
D. 2
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \Rightarrow \frac{{13}}{1} = \frac{{13w}}{{\left( {1 - w} \right)}} \cr & \Rightarrow \frac{w}{{\left( {1 - w} \right)}} = 1 \cr & \Rightarrow w = 1 - w \cr & \Rightarrow 2w = 1 \cr & \Rightarrow w = \frac{1}{2} \cr & \therefore {\left( {2w} \right)^2} \cr & = 4{w^2} \cr & = 4 \times \frac{1}{4} \cr & = 1 \cr} $$Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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