Find the angle between the hands at 3:30 p.m.

Correct option is C

Given: H = 3 and M = 30

As we know

$$\theta = | (30H - \frac{11}{2} M)| \\\theta = | 30 \times 3 - \frac{11}{2} \times 30| \\\theta = | 90 - 165| \\\theta = 75\degree$$

Correct answer is (c).