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At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day?
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At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise w...
Introduction:
In this problem, we are given that Karan starts facing southeast at 7:15 p.m. He turns 45 degrees clockwise whenever his clock strikes the hour and 90 degrees anticlockwise whenever his clock strikes the half-hour. We need to determine the direction Karan is facing at 10:45 p.m.
Understanding the problem:
To solve this problem, we need to keep track of Karan's direction changes based on the given conditions. We should start by determining the direction Karan is facing initially and then calculate the changes in direction at each hour and half-hour mark.
Solution:
Step 1: Determine the initial direction
At 7:15 p.m., Karan is facing southeast. Let's represent this direction as 135 degrees clockwise from the north.
Step 2: Calculate direction changes at each hour mark
Karan turns 45 degrees clockwise whenever his clock strikes the hour. Since the time is 10:00 p.m., there have been three hour marks since 7:15 p.m. Therefore, Karan has turned a total of 3 * 45 = 135 degrees clockwise.
Step 3: Calculate direction changes at each half-hour mark
Karan turns 90 degrees anticlockwise whenever his clock strikes the half-hour. Since the time is 10:45 p.m., there have been three half-hour marks since 10:00 p.m. Therefore, Karan has turned a total of 3 * 90 = 270 degrees anticlockwise.
Step 4: Calculate the final direction
To determine the final direction, we need to consider both the clockwise and anticlockwise turns. The initial direction was 135 degrees clockwise from the north. Karan then turned 135 degrees clockwise at the hour marks, resulting in a total of 135 + 135 = 270 degrees clockwise from the north. However, Karan also turned 270 degrees anticlockwise at the half-hour marks. Since 270 degrees clockwise is equivalent to 90 degrees anticlockwise, the final direction can be calculated as:
270 degrees clockwise (from the north) - 270 degrees anticlockwise = 0 degrees from the north
Therefore, at 10:45 p.m., Karan is facing directly north.
Conclusion:
At 10:45 p.m., Karan is facing north.
In this problem, we are given that Karan starts facing southeast at 7:15 p.m. He turns 45 degrees clockwise whenever his clock strikes the hour and 90 degrees anticlockwise whenever his clock strikes the half-hour. We need to determine the direction Karan is facing at 10:45 p.m.
Understanding the problem:
To solve this problem, we need to keep track of Karan's direction changes based on the given conditions. We should start by determining the direction Karan is facing initially and then calculate the changes in direction at each hour and half-hour mark.
Solution:
Step 1: Determine the initial direction
At 7:15 p.m., Karan is facing southeast. Let's represent this direction as 135 degrees clockwise from the north.
Step 2: Calculate direction changes at each hour mark
Karan turns 45 degrees clockwise whenever his clock strikes the hour. Since the time is 10:00 p.m., there have been three hour marks since 7:15 p.m. Therefore, Karan has turned a total of 3 * 45 = 135 degrees clockwise.
Step 3: Calculate direction changes at each half-hour mark
Karan turns 90 degrees anticlockwise whenever his clock strikes the half-hour. Since the time is 10:45 p.m., there have been three half-hour marks since 10:00 p.m. Therefore, Karan has turned a total of 3 * 90 = 270 degrees anticlockwise.
Step 4: Calculate the final direction
To determine the final direction, we need to consider both the clockwise and anticlockwise turns. The initial direction was 135 degrees clockwise from the north. Karan then turned 135 degrees clockwise at the hour marks, resulting in a total of 135 + 135 = 270 degrees clockwise from the north. However, Karan also turned 270 degrees anticlockwise at the half-hour marks. Since 270 degrees clockwise is equivalent to 90 degrees anticlockwise, the final direction can be calculated as:
270 degrees clockwise (from the north) - 270 degrees anticlockwise = 0 degrees from the north
Therefore, at 10:45 p.m., Karan is facing directly north.
Conclusion:
At 10:45 p.m., Karan is facing north.
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At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day?
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At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day?.
At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At 7:15 p.m. Karan is facing south east he turns 45 degree clockwise whenever his clock strikes the hour for example at 1:00 a.m. etc. He turns 90 degree anticlockwise whenever his clock strikes the half hour for example at 1:30 p.m,2: 30 p.m. etc what direction is Karan facing at 10:45 p.m. on the same day?.
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