Question

The hour hand is at 4 and the minute hand makes an angle of ${120}^{\circ }$ with the hour hand. If the hour hand is ahead of the minute hand, what time is it now?

• A. 4:30
• B. 4:40
• C. 4:45
• D. 4:00

Answer 1

The correct option is D

4:00

The angle between any two consecutive numbers on the clock is $\frac{360}{12}={30}^{\circ }.$

We are given that the hour hand is at 4 and that it makes an angle of ${120}^{\circ }$ with the minute hand.

Also, the hour hand is ahead of the minute hand.

$4\times {30}^{\circ }={120}^{\circ }$

$\therefore$ The minute hand of the clock is at 4 places before 4. That is, the minute hand is at 12.


$\therefore$ The time is 04:00.