A) \[\frac{2}{9}\]
B) 1
C) \[4\frac{1}{2}\]
D) \[3\frac{1}{3}\]
Correct Answer: C
Solution :
Given expression \[=\frac{15}{2}-\left[ \frac{9}{4}\div \left\{ \frac{5}{4}-\frac{1}{2}\left( \frac{3}{2}-\frac{1}{3}-\frac{1}{6} \right) \right\} \right]\] \[=\frac{15}{2}-\left[ \frac{9}{4}\div \left\{ \frac{5}{4}-\frac{1}{2}\left( \frac{9-2-1}{6} \right) \right\} \right]=\frac{15}{2}-\left[ \frac{9}{4}\div \left\{ \frac{5}{4}-\frac{1}{2} \right\} \right]\]\[=\frac{15}{2}-\left[ \frac{9}{4}\div \frac{3}{4} \right]=\frac{15}{2}\left[ \frac{9}{4}\times \frac{4}{3} \right]=\frac{15}{2}-3=\frac{9}{2}=4\frac{1}{2}\]
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