What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

Correct Option (3)

To determine the angle between the hour hand and the minute hand at a specific time, the standard formula is employed: Angle = `| (11M - 60H) / 2 |`, where H represents the hour and M represents the minutes.

For the given time of 4:25 hours, H = 4 and M = 25.

Substituting these values into the formula:

• Angle = `| (11 \times 25 - 60 \times 4) / 2 |`
• Angle = `| (275 - 240) / 2 |`
• Angle = `| 35 / 2 |`
• Angle = `17.5{^\circ}`

Thus, the angle between the minute hand and the hour hand at 4:25 hours is `17.5{^\circ}`.

Incorrect Options:

Options (1) `12.5{^\circ}`, (2) `15{^\circ}`, and (4) `20{^\circ}` are incorrect. These values do not correspond to the angle calculated using the established formula for clock hands at 4:25 hours. The precise application of the formula yields `17.5{^\circ}`, indicating that the other options are results of miscalculation or incorrect methodology.