What will be the angle between minute hand and hour hand at 4:30 PM ?

The correct answer is (c) 45°.

The hour hand moves 360° in 12 hours, or 30° per hour. The minute hand moves 360° in 60 minutes, or 6° per minute.

At 4:30 PM, the hour hand has moved 225° since noon. The minute hand has moved 180° since noon.

The angle between the hour hand and the minute hand is the difference between their positions. This is 225° – 180° = 45°.

Option (a) is incorrect because the hour hand and minute hand are not 60° apart at 4:30 PM.

Option (b) is incorrect because the hour hand and minute hand are not 75° apart at 4:30 PM.

Option (d) is incorrect because the hour hand and minute hand are not 30° apart at 4:30 PM.