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What is the angle between the hour and minute hand of a clock at 3h:15m?
Question

What is the angle between the hour and minute hand of a clock at 3h:15m?

A.

0'

B.

2.5'

C.

5'

D.

7.5'

Correct option is D

Given:
Time = 3 hours 15 minutes
We are to find the angle between the hour and minute hands at this time.

Formula Used:
Angle=30×hour112×minutes\text{Angle} = \left| 30 \times \text{hour} - \frac{11}{2} \times \text{minutes} \right|​​

Solution:
Substitute values into the formula:
 Angle=30×3112×15\text{Angle} = \left| 30 \times \text{3} - \frac{11}{2} \times \text{15} \right|​​
= |90 − (165 ÷ 2)|
= |90 − 82.5|
= 7.5 degrees

Final Answer:
S. Ans. (D) 7.5'

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