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A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?
- a)9 p.m
- b)10 p.m
- c)11 p.m
- d)12 p.m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What ...
Time from 10 a.m on a day to 3 a.m on 4th day = 24 x 3 + 17 = 89 hours.
Now 23 hrs 44 min. of this clock = 24 hours of correct clock.
89 hrs of faulty clock = (24 x 15/356 x 89) hrs = 90 hrs.
So, the correct time is 11 p.m
Now 23 hrs 44 min. of this clock = 24 hours of correct clock.
89 hrs of faulty clock = (24 x 15/356 x 89) hrs = 90 hrs.
So, the correct time is 11 p.m
Most Upvoted Answer
A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What ...
Given information:
- The clock loses 16 minutes in 24 hours.
- The clock is set at 10 a.m.
Approach:
To find the true time when the clock indicates 3 a.m. on the 4th day, we need to consider the time lost by the clock and calculate the actual time.
Calculation:
1. Time lost by the clock in 24 hours = 16 minutes
2. Time lost by the clock in 1 hour = 16/24 minutes = 2/3 minutes
3. Time lost by the clock in 1 minute = (2/3)/60 hours = 1/90 hours
Calculating the difference between the clock time and the actual time:
1. The clock indicates 3 a.m. on the 4th day, which means it has been running for 3 days and 5 hours (24 hours x 3 + 5 hours) since it was set at 10 a.m.
2. The time lost by the clock during this period = (3 days x 24 hours + 5 hours) x (1/90) hours
3. The actual time at 3 a.m. on the 4th day = 10 a.m. + 3 days and 5 hours - time lost by the clock
4. Substituting the values, we get:
Actual time = 10 a.m. + (3 days x 24 hours + 5 hours) - [(3 days x 24 hours + 5 hours) x (1/90)]
Actual time = 10 a.m. + (72 hours + 5 hours) - [(72 hours + 5 hours) x (1/90)]
Actual time = 10 a.m. + 77 hours - [(77 hours) x (1/90)]
Actual time = 10 a.m. + 77 hours - (77/90) hours
Actual time = 10 a.m. + (77 - (77/90)) hours
Actual time = 10 a.m. + (6930/90 - 77/90) hours
Actual time = 10 a.m. + (6853/90) hours
Actual time = 10 a.m. + 76 hours and 9 minutes
Therefore, the true time when the clock indicates 3 a.m. on the 4th day is 10 a.m. + 76 hours and 9 minutes, which is approximately 11 p.m. (option C).
- The clock loses 16 minutes in 24 hours.
- The clock is set at 10 a.m.
Approach:
To find the true time when the clock indicates 3 a.m. on the 4th day, we need to consider the time lost by the clock and calculate the actual time.
Calculation:
1. Time lost by the clock in 24 hours = 16 minutes
2. Time lost by the clock in 1 hour = 16/24 minutes = 2/3 minutes
3. Time lost by the clock in 1 minute = (2/3)/60 hours = 1/90 hours
Calculating the difference between the clock time and the actual time:
1. The clock indicates 3 a.m. on the 4th day, which means it has been running for 3 days and 5 hours (24 hours x 3 + 5 hours) since it was set at 10 a.m.
2. The time lost by the clock during this period = (3 days x 24 hours + 5 hours) x (1/90) hours
3. The actual time at 3 a.m. on the 4th day = 10 a.m. + 3 days and 5 hours - time lost by the clock
4. Substituting the values, we get:
Actual time = 10 a.m. + (3 days x 24 hours + 5 hours) - [(3 days x 24 hours + 5 hours) x (1/90)]
Actual time = 10 a.m. + (72 hours + 5 hours) - [(72 hours + 5 hours) x (1/90)]
Actual time = 10 a.m. + 77 hours - [(77 hours) x (1/90)]
Actual time = 10 a.m. + 77 hours - (77/90) hours
Actual time = 10 a.m. + (77 - (77/90)) hours
Actual time = 10 a.m. + (6930/90 - 77/90) hours
Actual time = 10 a.m. + (6853/90) hours
Actual time = 10 a.m. + 76 hours and 9 minutes
Therefore, the true time when the clock indicates 3 a.m. on the 4th day is 10 a.m. + 76 hours and 9 minutes, which is approximately 11 p.m. (option C).
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Question Description
A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer?.
A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer?.
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A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A clock is set at 10 a.m. The clock loses 16 minute in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day ?a)9 p.mb)10 p.mc)11 p.md)12 p.mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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