The current time on a clock is 3:45 PM. How many degrees will the hour hand move, if the minute hand moves by ${180}^{\circ }$?

The correct option is A ${15}^{\circ }$
Given time is 3:45 PM.

It is given that the minute hand moved by ${180}^{\circ }$.

We know that a revolution for the hours hand is 12 hours. So one hour for the hours hand is
1 hr $=\frac{{360}^{\circ }}{12}={30}^{\circ }$

So if the minute hand moves ${180}^{\circ }$ (half revolution), then the hour hand moves half of ${30}^{\circ }$, that is ${15}^{\circ }$.

Therefore, the hours hand moves by ${15}^{\circ }$.