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Rahul put his time piece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?
- a)South-East
- b)South
- c)North
- d)West
Correct answer is option 'D'. Can you explain this answer?
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Rahul put his time piece on the table in such a way that at 6 P.M. hou...
At 9.15 P.M., the minute hand will point towards west.
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Rahul put his time piece on the table in such a way that at 6 P.M. hou...
Solution:
At 6 P.M, the hour hand points towards the North direction.
To find the position of the minute hand at 9:15 P.M, we need to calculate the angle between the hour hand and the minute hand.
Hour Hand:
The hour hand moves 30 degrees in 1 hour. So, in 3 hours (from 6 P.M to 9 P.M), it moves 90 degrees.
Minute Hand:
The minute hand moves 360 degrees in 60 minutes, which means it moves 6 degrees in 1 minute. So, in 15 minutes (from 9 P.M to 9:15 P.M), it moves 90 degrees.
Angle between Hour Hand and Minute Hand:
The angle between the hour hand and the minute hand is given by the formula:
30*H - 11/2*M, where H is the hour and M is the minute.
At 9 P.M, the hour hand is at 90 degrees from the North direction.
Substituting the values in the formula, we get:
30*9 - 11/2*15 = 270 - 82.5 = 187.5 degrees
So, the angle between the hour hand and the minute hand at 9:15 P.M is 187.5 degrees.
Now, we need to find the direction in which the minute hand points at this angle.
Direction:
The angle between the hour hand and the minute hand is more than 180 degrees, which means the minute hand will be behind the hour hand.
The direction in which the minute hand will point is the direction opposite to the direction in which the hour hand points.
At 6 P.M, the hour hand points towards the North direction. So, the minute hand will point towards the direction opposite to North, which is the West direction.
Hence, the correct answer is option D, West.
At 6 P.M, the hour hand points towards the North direction.
To find the position of the minute hand at 9:15 P.M, we need to calculate the angle between the hour hand and the minute hand.
Hour Hand:
The hour hand moves 30 degrees in 1 hour. So, in 3 hours (from 6 P.M to 9 P.M), it moves 90 degrees.
Minute Hand:
The minute hand moves 360 degrees in 60 minutes, which means it moves 6 degrees in 1 minute. So, in 15 minutes (from 9 P.M to 9:15 P.M), it moves 90 degrees.
Angle between Hour Hand and Minute Hand:
The angle between the hour hand and the minute hand is given by the formula:
30*H - 11/2*M, where H is the hour and M is the minute.
At 9 P.M, the hour hand is at 90 degrees from the North direction.
Substituting the values in the formula, we get:
30*9 - 11/2*15 = 270 - 82.5 = 187.5 degrees
So, the angle between the hour hand and the minute hand at 9:15 P.M is 187.5 degrees.
Now, we need to find the direction in which the minute hand points at this angle.
Direction:
The angle between the hour hand and the minute hand is more than 180 degrees, which means the minute hand will be behind the hour hand.
The direction in which the minute hand will point is the direction opposite to the direction in which the hour hand points.
At 6 P.M, the hour hand points towards the North direction. So, the minute hand will point towards the direction opposite to North, which is the West direction.
Hence, the correct answer is option D, West.
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Rahul put his time piece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?a)South-Eastb)Southc)North d)WestCorrect answer is option 'D'. Can you explain this answer?
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Rahul put his time piece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?a)South-Eastb)Southc)North d)WestCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Rahul put his time piece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?a)South-Eastb)Southc)North d)WestCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rahul put his time piece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?a)South-Eastb)Southc)North d)WestCorrect answer is option 'D'. Can you explain this answer?.
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