At what time between 2 o’elock and 3 o’clock will the hour and minute hands of a clock be 12 minutes division apart?

The correct answer is (b).

The hour hand moves 30 degrees in 1 hour, or 0.5 degrees per minute. The minute hand moves 6 degrees per minute.

At 2 o’clock, the hour hand is 60 degrees ahead of the minute hand.

To be 12 minutes apart, the hour hand must be 12 degrees ahead of the minute hand.

This will happen 12/0.5 = 24 minutes after 2 o’clock.