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It is 3 O clock in a watch. If the minute handpoints towards the north-east then what is thedirection of hour hand point?
- a)South west
- b)South
- c)South-east
- d)North-west
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Watch Position
When a watch shows 3 o'clock, the positions of the hands are crucial for determining directions. The minute hand points directly at the 12, while the hour hand points at the 3.
Minute Hand Direction
- At 3 o'clock, the minute hand is at the 12.
- If the minute hand points towards the north-east, the 12 o'clock position has been rotated.
Calculating the Rotation
- North-east is 45 degrees clockwise from the north (12 o'clock position).
- Therefore, the minute hand pointing north-east indicates that the entire watch has been rotated 45 degrees clockwise.
Hour Hand Direction
- The hour hand at 3 o'clock originally points towards 3, which is 90 degrees clockwise from the 12 o'clock position.
- With the watch rotated 45 degrees clockwise, the hour hand's new position is calculated by adding 45 degrees to its original position.
New Position of the Hour Hand
- Original position of hour hand: 3 o'clock (90 degrees)
- After rotation: 90 degrees + 45 degrees = 135 degrees
Determining the Direction
- 135 degrees corresponds to the south-east direction on a compass.
- Therefore, as the minute hand points north-east, the hour hand now points south-east.
Conclusion
The direction of the hour hand when the minute hand points north-east at 3 o'clock is indeed south-east, making option 'C' the correct answer.
When a watch shows 3 o'clock, the positions of the hands are crucial for determining directions. The minute hand points directly at the 12, while the hour hand points at the 3.
Minute Hand Direction
- At 3 o'clock, the minute hand is at the 12.
- If the minute hand points towards the north-east, the 12 o'clock position has been rotated.
Calculating the Rotation
- North-east is 45 degrees clockwise from the north (12 o'clock position).
- Therefore, the minute hand pointing north-east indicates that the entire watch has been rotated 45 degrees clockwise.
Hour Hand Direction
- The hour hand at 3 o'clock originally points towards 3, which is 90 degrees clockwise from the 12 o'clock position.
- With the watch rotated 45 degrees clockwise, the hour hand's new position is calculated by adding 45 degrees to its original position.
New Position of the Hour Hand
- Original position of hour hand: 3 o'clock (90 degrees)
- After rotation: 90 degrees + 45 degrees = 135 degrees
Determining the Direction
- 135 degrees corresponds to the south-east direction on a compass.
- Therefore, as the minute hand points north-east, the hour hand now points south-east.
Conclusion
The direction of the hour hand when the minute hand points north-east at 3 o'clock is indeed south-east, making option 'C' the correct answer.
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It is 3 O clock in a watch. If the minute handpoints towards the north-east then what is thedirection of hour hand point?a)South westb)Southc)South-eastd)North-westCorrect answer is option 'C'. Can you explain this answer?
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