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If 1/x : 1/y : 1/z = 2:3:5, then x:y:z = ?

(a) 2:3:5 (b)15:10:6 (c)5:3:2 (d)6:10:15

$\frac{1}{x} : \frac{1}{y} : \frac{1}{z} = 2 : 3 : 5 \Rightarrow \frac{\frac{1}{x}}{\frac{1}{y}} = \frac{2}{3} a n d \frac{\frac{1}{y}}{\frac{1}{z}} = \frac{3}{5} \Rightarrow \frac{y}{x} = \frac{2}{3} a n d \frac{z}{y} = \frac{3}{5} \Rightarrow \frac{y}{x} = \frac{2 \times 5}{3 \times 5} a n d \frac{z}{y} = \frac{3 \times 2}{5 \times 2} \Rightarrow \frac{y}{x} = \frac{10}{15} a n d \frac{z}{y} = \frac{6}{10} \Rightarrow y : x = 10 : 15 a n d z : y = 6 : 10 \Rightarrow x : y : z = 15 : 10 : 6 H e n c e, o p t i o n (B) i s c o r r e c t .$

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