question_answer

Complete the series? \[\frac{1}{81},\,\,\frac{1}{54},\,\,\frac{1}{36},\,\,\frac{1}{24},\,\,......?\]

A) \[\frac{1}{32}\]                         

B) \[\frac{1}{9}\]

C) \[\frac{1}{16}\]                         

D) \[\frac{1}{18}\]

Correct Answer: D

Solution :

  \[\Rightarrow \frac{6}{81},\frac{6}{54},\frac{6}{36},\frac{6}{24},\frac{6}{18}\] \[\Rightarrow \frac{1}{13.5},\,\,\frac{1}{9},\,\,\frac{1}{6},\,\,\frac{1}{4},\,\,\frac{1}{3}\] \[\therefore \]      \[?=\frac{1}{18}\]