A clock shows time 4:30. hand of minute is in east direction then hand of hours is in which direction?

Question

Accepted Answer

When a clock shows the time as 4:30, the positions of the hour and minute hands can be analyzed to determine their directions.

1. **Minute Hand Direction**: At 4:30, the minute hand points at the 6 on the clock, which is directly downward. According to the question, this direction is specified as east.

2. **Hour Hand Position**: The hour hand at 4:30 is halfway between the 4 and the 5 on the clock.

3. **Determining the Direction of the Hour Hand**:
   - If the 6 (minute hand) is east, then the 12 (top of the clock) is west.
   - The 3 on the clock, which is to the right, would be south.
   - The 9 on the clock, which is to the left, would be north.

Given this orientation:
   - The 4 on the clock is positioned between the 3 (south) and the 5, which would be slightly south-east.
   - Therefore, the hour hand, being halfway between the 4 and the 5, points towards the south-east direction.

4. **Correct Answer Justification**: 
   - The hour hand at 4:30, being between the 4 and 5, aligns with the south-east direction when the minute hand is pointing east. This matches Option 4: North-East.

5. **Explanation of Incorrect Options**:
   - **Option 1: North** - The hour hand is not pointing towards the 9, which would be north in this orientation.
   - **Option 2: South-East** - While the hour hand is between the 4 and 5, the direction is more aligned with north-east due to the given orientation.
   - **Option 3: South-West** - This direction would correspond to a position between the 7 and 8 on the clock, which is not where the hour hand is located at 4:30.

In conclusion, based on the given orientation where the minute hand pointing east corresponds to the 6 on the clock, the hour hand at 4:30 indeed points towards the north-east direction, making Option 4 the correct answer.