The correct answer is (b) 127.5.
The hour hand moves 360 degrees in 12 hours, or 30 degrees per hour. The minute hand moves 360 degrees in 60 minutes, or 6 degrees per minute.
At 7:15, the hour hand has moved 210 degrees (7 hours * 30 degrees). The minute hand has moved 105 degrees (15 minutes * 6 degrees).
The angle between the hour and minute hands is the difference between their positions. This is 210 degrees – 105 degrees = 105 degrees.
However, the hour hand is not directly between 7 and 8, so it is not pointing directly at 105 degrees. It is actually pointing at a point that is 15 degrees between 7 and 8, which is 127.5 degrees.
Here is a diagram to illustrate the angle between the hour and minute hands at 7:15:
The angle between the two hands is the angle formed by the two lines connecting the center of the clock to the tips of the hands. This angle is 105 degrees. However, the hour hand is not directly between 7 and 8, so it is not pointing directly at 105 degrees. It is actually pointing at a point that is 15 degrees between 7 and 8, which is 127.5 degrees.