Question

Find the angle between the hour hand and the minute hand of a clock when the time is 25 minutes to 7.

• A. $12{\frac{1}{2}}^o$
• B. $17{\frac{1}{2}}^o$
• C. $20{\frac{1}{2}}^o$
• D. $22{\frac{1}{2}}^o$

Answer 1

The correct option is B $17{\frac{1}{2}}^o$

Angle traced minutes hand in 35 minutes = $\frac{35\times 360}{60}={210}^{\circ }$
The hour hand traces half a degree in one minute. Hence, angle traced by hour hand at 7 hour and 35 minutes = $7\times 30+\frac{35}{2}={227.5}^{\circ }$
Thus, angle between two hands = $227.5-210={17.5}^{\circ }$