Question
Download Solution PDFSix bells commence tolling together, afterwards, they toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The toll intervals of 6 bells = 2, 4, 6, 8, 10 and 12 seconds respectively
Concept:
L.C.M. of the least common multiple of the two or more numbers
Calculation:
Let the total number of times the bell will commence
The LCM of 2, 4, 6, 8, 10, and 12 = 120 seconds = \({120\over 60}\ =\ 2\ minutes \)
They will commence tolling = 1 + \({30\over 2}\) = 1 + 15 = 16
∴ The required result will be 16.
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