Question : The value of $\frac{1}{8} × \left[\frac{1}{5}\right.$ of $\left.\frac{11}{2} ÷\left\{\left(\frac{15}{3}-\frac{18}{6}\right)\right\}\right]$ is:
Option 1: $\frac{11}{160}$
Option 2: $\frac{11}{20}$
Option 3: $\frac{8}{11}$
Option 4: $\frac{11}{8}$
Correct Answer: $\frac{11}{160}$
Solution :
Given expression,
$\frac{1}{8} × \left[\frac{1}{5}\right.$ of $\left.\frac{11}{2} ÷\left\{\left(\frac{15}{3}-\frac{18}{6}\right)\right\}\right]$
$=\frac{1}{8}\times[\frac15\text{ of }\frac{11}{2}÷\{5-3\}]$
$=\frac{1}{8}\times[\frac{11}{10}÷2]$
$=\frac{1}{8}\times\frac{11}{20}$
$=\frac{11}{160}$
Hence, the correct answer is $\frac{11}{160}$
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