Question

The angle between the minute hand and the hour hand of a clock when the time is 3:30 in degree is

• A. 90
• B. 9
• C. 88
• D. 75

Answer 1

The correct option is D 75

Angular speed of hour hand $=30degreeperhour.=0.5$ degree/minute.

In $30$ minutes , the angle swept by hour hand is $30\times 0.5=15$ degree.

At $3:30$ , the minute hand is at number $6$.

At $3:00$ the hour hand was at number $3$.

Now it has moved $15$ degree.

Hence the angle between the two is $(90-15)=75$ degree.