Find the value of $$309 \div \left[ {\left( {\frac{3}{2}} \right){\text{of}}\left( {25 + 35} \right) - 12\frac{3}{4}} \right]$$

Solution (By Examveda Team)

$$\eqalign{ & 309 \div \left[ {\left( {\frac{3}{2}} \right){\text{of}}\left( {25 + 35} \right) - 12\frac{3}{4}} \right] \cr & = 309 \div \left[ {\frac{3}{2} \times 60 - \frac{{51}}{4}} \right] \cr & = 309 \div \left[ {90 - \frac{{51}}{4}} \right] \cr & = 309 \times \frac{4}{{360 - 51}} \cr & = 4 \cr} $$