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A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 4 p.m. on the following day?
- a)3:49:25 p.m
- b)3:46:20 p.m
- c)3:42:30 p.m
- d)3:47:35 p.m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours...
Solution:
Given, the clock gains 10 minutes in 24 hours.
That is, the clock gains 10/24 = 5/12 minutes in 1 hour.
In 12 hours, the clock gains 5/12 × 12 = 5 minutes.
Therefore, the clock gains 5 minutes in 12 hours.
Let's assume that the true time is t hours after 10 a.m. the next day.
Then, the clock would show the time as (t+30) minutes past 10 a.m. the next day.
As per the given information, the clock gains 10 minutes in 24 hours.
So, the clock gains 5 minutes in 12 hours.
Therefore, the clock gains (t+30-4×60)×5/12 minutes in t hours after 10 a.m. the next day.
According to the question, the clock shows the time as 4 p.m. the next day.
That is, the clock shows the time as 6 hours past 10 a.m. the next day.
So, we have t+30 = 6×60 = 360 minutes.
Now, substituting t+30 = 360 in the above equation, we get:
(t+30-4×60)×5/12 = (360-240)×5/12 = 25 minutes.
Therefore, the true time is 4:00 p.m. + 25 minutes = 4:25 p.m.
Hence, option D is the correct answer.
Given, the clock gains 10 minutes in 24 hours.
That is, the clock gains 10/24 = 5/12 minutes in 1 hour.
In 12 hours, the clock gains 5/12 × 12 = 5 minutes.
Therefore, the clock gains 5 minutes in 12 hours.
Let's assume that the true time is t hours after 10 a.m. the next day.
Then, the clock would show the time as (t+30) minutes past 10 a.m. the next day.
As per the given information, the clock gains 10 minutes in 24 hours.
So, the clock gains 5 minutes in 12 hours.
Therefore, the clock gains (t+30-4×60)×5/12 minutes in t hours after 10 a.m. the next day.
According to the question, the clock shows the time as 4 p.m. the next day.
That is, the clock shows the time as 6 hours past 10 a.m. the next day.
So, we have t+30 = 6×60 = 360 minutes.
Now, substituting t+30 = 360 in the above equation, we get:
(t+30-4×60)×5/12 = (360-240)×5/12 = 25 minutes.
Therefore, the true time is 4:00 p.m. + 25 minutes = 4:25 p.m.
Hence, option D is the correct answer.
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Community Answer
A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours...
The clock gains 10min in 1440min
i.e 1450min in clock's frame = 1440min in real-time
so, 1min in clock's frame = 1440/1450 in real-time
30*60min in clock's frame= 1440/1450*30*60 = 1787.587min = 29.794 hrs= 29hrs 47 min 35 sec
.'. Correct time is 3:47:35
i.e 1450min in clock's frame = 1440min in real-time
so, 1min in clock's frame = 1440/1450 in real-time
30*60min in clock's frame= 1440/1450*30*60 = 1787.587min = 29.794 hrs= 29hrs 47 min 35 sec
.'. Correct time is 3:47:35
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A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 4 p.m. on the following day?a)3:49:25 p.mb)3:46:20 p.mc)3:42:30 p.md)3:47:35 p.mCorrect answer is option 'D'. Can you explain this answer?
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A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 4 p.m. on the following day?a)3:49:25 p.mb)3:46:20 p.mc)3:42:30 p.md)3:47:35 p.mCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 4 p.m. on the following day?a)3:49:25 p.mb)3:46:20 p.mc)3:42:30 p.md)3:47:35 p.mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A clock is set right at 10 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 4 p.m. on the following day?a)3:49:25 p.mb)3:46:20 p.mc)3:42:30 p.md)3:47:35 p.mCorrect answer is option 'D'. Can you explain this answer?.
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