What will be the measurement of the angle made by the hour and minute hands of a clock when the time is ‘quarter past 3’?

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Accepted Answer

At 3:15, the positions of the clock hands are as follows:  
- The **minute hand** is on the 3 (15 minutes).  
- The **hour hand** is slightly ahead of the 3 due to the passage of 15 minutes.

To calculate the angle between the hands, use the formula:  
$$
	ext{Angle} = |30H - 5.5M|
$$  
where $$H$$ is the hour and $$M$$ is the minutes.

Substitute $$H = 3$$ and $$M = 15$$:  
$$
	ext{Angle} = |30(3) - 5.5(15)| = |90 - 82.5| = 7.5 \, 	ext{degrees}.
$$

Thus, the angle between the hands is **$$7 \frac{1}{2}$$** degrees, making option **(3)** correct.

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