19. What angle do the minute and hour hands form exactly at 3:05?
$\triangleright$ In the five minutes that have passed after 3 o'clock, the minute hand will turn by $30^{\circ}$. However, for the correct answer, we need to consider that the hour hand will also turn. In one hour, it turns by one hour mark on the clock face, which is also $30^{\circ}$. Therefore, in 5 minutes, it will turn by $1/12$ of $30^{\circ}$, which is $2.5^{\circ}$. Now we can easily get the answer: from the initial angle of $90^{\circ}$, we need to subtract $30^{\circ}$ and add $2.5^{\circ}$, resulting in $62.5^{\circ} . \triangleleft$