Four bells ring at intervals of 5, 10, 12 and 15 minutes respectively. If they start ringing together at 3 o'clock, after what interval of time will they ring together and how many times will they ring together in 18 hours?
Four bells ring at intervals of 5, 10, 12 and 15 minutes respectively. If they start ringing together at 3 o'clock, after what interval of time will they ring together and how many times will they ring together in 18 hours? Correct Answer 1 hour, 18 times
Given:
Four rings well at interval respectively = 5, 10, 12, and 15
Concept:
LCM = The smallest positive number that is multiple of two or more number
Calculation:
The bell ring together again = LCM of (5, 10, 12, 15) = 60 minutes = 1 hours
⇒ The bell will ring in 18 hours = 1 × 18 = 18 times
∴ The required result will be "1 hour, 18 times".
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Feb 20, 2025