Question

The angle between the minute hand and the hour hand of a clock when the time is 8:25 am is

• A. ${92}^0{45}^{\prime }$
• B. ${102}^0{30}^{\prime }$
• C. ${105}^0$
• D. ${107}^0{15}^{\prime }$

Answer 1

The correct option is B ${102}^0{30}^{\prime }$

At $8:25$ the hour hand will have moved past the $8$

The hour hand moves $\frac{1}{2}$ a degree per minute.

In $25$ minutes it will be $12\frac{1}{2}$ degrees past the $8$.

If the minute hand moves from the $5$ to the $8$ it rotates

through $90$ degrees.

The total angle between the minute hand and hour hand

is therefore $90+12\frac{1}{2}=102\frac{1}{2}={102}^o{30}^{\prime }$degrees.