If $$\frac{x}{2} = \frac{y}{3} = \frac{z}{4} = $$ $$\frac{{2x – 3y + 5z}}{k}{\text{,}}$$ then the value of k is –
a) 12
b) 15
c) 16
d) 18
Answer: b
Explanation:
$$\eqalign{
& {\text{Let }}\frac{x}{2} = \frac{y}{3} = \frac{z}{4} = l \cr
& {\text{Then,}} \cr
& = x = 2l,y = 3l,z = 4l \cr
& \frac{x}{2} = \frac{{2x – 3y + 5z}}{k} \cr
& \frac{{2l}}{2} = \frac{{2 \times 2l – 3 \times 3l + 5 \times 4l}}{k} \cr
& k = 4 – 9 + 20 = 15 \cr} $$
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