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Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start?
- a)7 times
- b)8 times
- c)9 times
- d)11 times
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Five bells begin to toll together and toll respectively at intervals o...
L.C.M. of 6, 5, 7, 10 and 12 is 420.
So, the bells will toll together after every 420 seconds = 420/60 = 7 minutes.
Now, 7 x 8 = 56 and 7 x 9 = 63.
Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.
So, the bells will toll together after every 420 seconds = 420/60 = 7 minutes.
Now, 7 x 8 = 56 and 7 x 9 = 63.
Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.
Most Upvoted Answer
Five bells begin to toll together and toll respectively at intervals o...
Calculation of Time Interval for Bells Tolling Together:
- To find out how many times the bells toll together in one hour, we need to calculate the least common multiple (LCM) of the time intervals at which each bell tolls.
Calculating LCM:
- The time intervals for the bells tolling are 6, 5, 7, 10, and 12 seconds.
- LCM of 6, 5, 7, 10, and 12 is 420 seconds.
Converting LCM to Minutes:
- 420 seconds is equal to 7 minutes.
- Since we need to calculate the number of times the bells toll together in one hour (60 minutes), we divide 60 by 7.
- The result is approximately 8.57.
Answer:
- Therefore, the bells will toll together 8 times in one hour excluding the one at the start.
- So, the correct answer is option B) 8 times.
- To find out how many times the bells toll together in one hour, we need to calculate the least common multiple (LCM) of the time intervals at which each bell tolls.
Calculating LCM:
- The time intervals for the bells tolling are 6, 5, 7, 10, and 12 seconds.
- LCM of 6, 5, 7, 10, and 12 is 420 seconds.
Converting LCM to Minutes:
- 420 seconds is equal to 7 minutes.
- Since we need to calculate the number of times the bells toll together in one hour (60 minutes), we divide 60 by 7.
- The result is approximately 8.57.
Answer:
- Therefore, the bells will toll together 8 times in one hour excluding the one at the start.
- So, the correct answer is option B) 8 times.
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Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start?a)7 timesb)8 timesc)9 timesd)11 timesCorrect answer is option 'B'. Can you explain this answer?
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