A watch reads 4:30. If the minute hand points east, in what direction will the hour hand point?

Correct option is A

Angle between the hands =

$$\theta = | \frac{11}{2}\times M -30 H| \\ \ \\\theta = | \frac{11}{2}\times 30 -30 \times 4| \\ \ \\\theta = | {11}\times 15 -30 \times 4| \\ \ \\\theta = | 165 -120| \\ \ \\\theta = 45 \degree \\ \ \\$$​​
· From the diagram at 4:30 ,The hour hand is 45 degrees behind minute hand ,so moving 45 degrees anticlockwise from east we are moving in NE direction