Aptitude - Clock - Discussion
Discussion Forum : Clock - General Questions (Q.No. 5)
5.
How much does a watch lose per day, if its hands coincide every 64 minutes?
Answer: Option
Explanation:
55 min. spaces are covered in 60 min.
60 min. spaces are covered in | ![]() |
60 | x 60 | ![]() |
= 65 | 5 | min. |
55 | 11 |
Loss in 64 min. = | ![]() |
65 | 5 | - 64 | ![]() |
= | 16 | min. |
11 | 11 |
Loss in 24 hrs = | ![]() |
16 | x | 1 | x 24 x 60 | ![]() |
= | 32 | 8 | min. |
11 | 64 | 11 |
Discussion:
119 comments Page 8 of 12.
Ramu said:
9 years ago
Thanks for explaining the answer.
Anand Moghe said:
9 years ago
I think the question is incorrect.
It is like this: A correct clock will have a time gap of (720/11 = 65 and 5/11) minutes between two successive overlaps of the hours hand and the minute hand. IF this time is being covered by the incorrect clock in 64 minutes (64 < 65 5/11), then the incorrect clock is gaining time, not losing time. What should have been covered in 65 5/11 mins is now being covered in 64 mins.
Thus the time gained in 65 5/11 minutes is 1 5/11 minutes (=16/11). So the time gained in 24 hrs (1440 minutes) is (1440 * (16/11) * (11/720) = 32 mins.
I believe when the incorrect clock covers a specified (correct) time in lesser (incorrect) time, then the incorrect clock is gaining time.
The answer must be : clock gains time of 32 mins per day.
It is like this: A correct clock will have a time gap of (720/11 = 65 and 5/11) minutes between two successive overlaps of the hours hand and the minute hand. IF this time is being covered by the incorrect clock in 64 minutes (64 < 65 5/11), then the incorrect clock is gaining time, not losing time. What should have been covered in 65 5/11 mins is now being covered in 64 mins.
Thus the time gained in 65 5/11 minutes is 1 5/11 minutes (=16/11). So the time gained in 24 hrs (1440 minutes) is (1440 * (16/11) * (11/720) = 32 mins.
I believe when the incorrect clock covers a specified (correct) time in lesser (incorrect) time, then the incorrect clock is gaining time.
The answer must be : clock gains time of 32 mins per day.
Anand S Moghe said:
9 years ago
I have a small correction to offer to my previous explanation.
In 64 mins of correct time, the watch shows to have covered 65.5/11 mins. So the watch runs faster. Hence the time is gained. In 64 mins the time gained is 1.5/11 min. So in 24 hrs (1440 mins) the time gained is 1440*(16/11)*(1/64) = 32.8/11 mins.
So the time is GAINED, not lost, as per my understanding.
In 64 mins of correct time, the watch shows to have covered 65.5/11 mins. So the watch runs faster. Hence the time is gained. In 64 mins the time gained is 1.5/11 min. So in 24 hrs (1440 mins) the time gained is 1440*(16/11)*(1/64) = 32.8/11 mins.
So the time is GAINED, not lost, as per my understanding.
(1)
Amit Kumar said:
9 years ago
I think the clock is gaining time. Because, instead of meeting after 65 5/11, it is meeting in 64 minutes only. Hence the question, "what time it looses is wrong".
Sushma said:
8 years ago
I am not understanding this question. Please, anybody explain me.
Surjeet Murmu said:
8 years ago
Here, I think there will be gain in time. Not a loss in time.
Pooja Armo said:
8 years ago
Please explain that 55 min space concept. I am not getting it properly.
Bajpai said:
8 years ago
I am unable to get the concept of -55 min space covered in 60 min. As well as the question about hands coincide every 64 min refers to?
Arana said:
8 years ago
Please explain me why in last step it is multiplied with 1/64?
(1)
Mukul said:
8 years ago
The minute hand of a clock overtakes the hour hand at intervals of M minutes of correct time. The clock gains or loses in a day by=(72011/M)(60 * 24M) minutes.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers