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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
- a)4
- b)10
- c)15
- d)16
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Six bells commence tolling together and toll at intervals of 2, 4, 6, ...
LCM of 2, 4, 6, 8 10 and 12 is 120.
So, after each 120 seconds, they would toll together.
Hence, in 30 minutes, they would toll 30*60 seconds / 120 seconds = 15 times
But then the question says they commence tolling together. So, they basically also toll at the "beginning" ("0" second).
So, total tolls together = 15+1 = 16
Most Upvoted Answer
Six bells commence tolling together and toll at intervals of 2, 4, 6, ...
Solution:
The time taken by each bell to complete one toll is given as:
Bell 1 - 2 seconds
Bell 2 - 4 seconds
Bell 3 - 6 seconds
Bell 4 - 8 seconds
Bell 5 - 10 seconds
Bell 6 - 12 seconds
We need to find the number of times they toll together in 30 minutes, which is 1800 seconds.
Let's find the LCM of the given time intervals:
LCM of 2, 4, 6, 8, 10, 12 = 120
This means that all the bells will toll together after every 120 seconds.
The number of times they toll together in 1800 seconds can be found as:
Number of times = 1800/120 = 15
Therefore, the correct answer is option D) 16.
The time taken by each bell to complete one toll is given as:
Bell 1 - 2 seconds
Bell 2 - 4 seconds
Bell 3 - 6 seconds
Bell 4 - 8 seconds
Bell 5 - 10 seconds
Bell 6 - 12 seconds
We need to find the number of times they toll together in 30 minutes, which is 1800 seconds.
Let's find the LCM of the given time intervals:
LCM of 2, 4, 6, 8, 10, 12 = 120
This means that all the bells will toll together after every 120 seconds.
The number of times they toll together in 1800 seconds can be found as:
Number of times = 1800/120 = 15
Therefore, the correct answer is option D) 16.
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Community Answer
Six bells commence tolling together and toll at intervals of 2, 4, 6, ...
Before LCM of 2, 4, 6, 8 10 and 12 is 120. So, after each 120 seconds, Hence, in 30 minutes, they would toll 30*60 seconds / 120 seconds = 15 times So, total tolls together = 15+1 = 16 ans d
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