What is the angle between the hands of a clock at 4 o'clock and 15 minutes?

Correct option is A

Given:

The hands of a clock at 4 o'clock and 15 minutes.

Formula Used:

$$|30H - \frac{11}{2}M|$$

​Where;
H is hours
M is minutes

Logic:

H = 4 and M = 15

= $$|30\times4 - \frac{11}{2}\times15|$$​​

= $$|120 - \frac{165}{2}|$$

= $$|120 - 82.5|$$

= 37.5$$\degree$$

= $$37\frac{1}{2}\degree$$

Thus, the correct answer is (a).