Question

The hour hand of a clock is at 9 and the minute hand makes an angle of ${90}^{\circ }$ with the hour hand. If the minute hand is ahead of the hour hand, what time is it now?

• A. 9:30
• B. 9:15
• C. 9:00
• D. 9:45

Answer 1

The correct option is C

9:00

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 9 and that it makes an angle of ${90}^{\circ }$ with the minute hand.

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

$3\times {30}^{\circ }={90}^{\circ }$

$\therefore$ The minute hand of the clock is at (9+3=)12.


$\therefore$ The time is 09:00.