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Four bells commence tolling together and toll at the intervals of 3,9,12,15 seconds resp. In 60 minutes how many times they will toll together.
- a)20
- b)21
- c)24
- d)30
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Four bells commence tolling together and toll at the intervals of 3,9,...
LCM of 3, 9, 12, 15 = 180s = 3m
In 60m = 60/3 = 20=> 20+1 = 21
Most Upvoted Answer
Four bells commence tolling together and toll at the intervals of 3,9,...
Problem:
Four bells commence tolling together and toll at the intervals of 3,9,12,15 seconds respectively. In 60 minutes how many times they will toll together?
Solution:
To find out the number of times the four bells toll together, we need to find out the LCM (Least Common Multiple) of their time intervals.
The time intervals of the four bells are 3, 9, 12, and 15 seconds respectively. We can write these intervals as:
3 = 3 × 1
9 = 3 × 3
12 = 2 × 2 × 3
15 = 3 × 5
Now, we can find the LCM of these intervals by multiplying the highest powers of all the prime factors:
LCM = 2 × 2 × 3 × 3 × 5 = 180
Hence, the four bells will toll together every 180 seconds. In 60 minutes (i.e. 3600 seconds), they will toll together:
3600/180 = 20 times
Therefore, the answer is option B - 21.
Four bells commence tolling together and toll at the intervals of 3,9,12,15 seconds respectively. In 60 minutes how many times they will toll together?
Solution:
To find out the number of times the four bells toll together, we need to find out the LCM (Least Common Multiple) of their time intervals.
The time intervals of the four bells are 3, 9, 12, and 15 seconds respectively. We can write these intervals as:
3 = 3 × 1
9 = 3 × 3
12 = 2 × 2 × 3
15 = 3 × 5
Now, we can find the LCM of these intervals by multiplying the highest powers of all the prime factors:
LCM = 2 × 2 × 3 × 3 × 5 = 180
Hence, the four bells will toll together every 180 seconds. In 60 minutes (i.e. 3600 seconds), they will toll together:
3600/180 = 20 times
Therefore, the answer is option B - 21.
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Four bells commence tolling together and toll at the intervals of 3,9,12,15 seconds resp. In 60 minutes how many times they will toll together.a)20b)21c)24d)30e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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