When do the two hands of a clock of just after 3 pm make 30°angel between them?

Solution (By Examveda Team)

$$\eqalign{ & \frac{{{{\left( {90 - 30} \right)}^\text{o}}}}{{5.5}} \cr & = \frac{{\left( {60 \times 2} \right)}}{{11}} \cr & = 10\left( {\frac{{10}}{{11}}} \right) \cr & = 10\,\min \,54\,\sec \cr & {\text{Thus}}, \cr & {\text{Required}}\,{\text{time}} \cr & = 3:10:54 \cr} $$