Question

Find the angle between the hour hand and the minute hand of a clock when the time is $2:25$ pm.

• A. ${77}^0$
• B. ${90}^0$
• C. $77{\frac{1}{2}}^0$
• D. $77{\frac{3}{4}}^0$

Answer 1

The correct option is C $77{\frac{1}{2}}^0$

At $2:25$, the hands of a clock are shown in the diagram.

At $2$ o'clock, the hour hand is at $2$.

In next $25$ minutes, hour hand has moved $25{\frac{1}{2}}^0$ i.e. $12{\frac{1}{2}}^0$

Angle between $2$ and $5$ is ${90}^0$.

Thus, the required angle is ${90}^0-12{\frac{1}{2}}^0=77{\frac{1}{2}}^0$.