A) \[\frac{1}{3}\]
B) \[\frac{5}{8}\]
C) \[\frac{5}{16}\]
D) \[\frac{3}{8}\]
Correct Answer: C
Solution :
Given expression \[=\frac{1}{3}\left[ \left( 1-\frac{1}{4} \right)+\left( \frac{1}{4}-\frac{1}{7} \right)+\left[ \frac{1}{7}-\frac{1}{10} \right] \right.\]\[\left. +\left( \frac{1}{10}-\frac{1}{3} \right)+\left( \frac{1}{13}-\frac{1}{16} \right) \right]\] \[=\frac{1}{3}\left[ 1-\frac{1}{16} \right]=\frac{1}{3}\times \frac{15}{16}=\frac{5}{16}\]
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