Question

Find the time if in an analog clock, the hour hand is at 9 and the minute hand makes an angle of ${90}^{\circ }$ with the hour hand.

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

Answer 1

The correct option is C 9:00

Since angle between the hour hand and minute hand is ${90}^{\circ }$, minute hand is either at 12 or 6.
But, if minute hand is at 6, hour hand cannot be exactly at 9. It has to be between either 9 and 10 or between 8 and 9.
Hence, it can be concluded that minute had is at 12. So, the time is 9:00.