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Question
Three bells ring at intervals of 6, 12 and 18 minutes. If all the three bells rang at 6 AM, when will they ring together again?
Numerical
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Solution
Given: Three bells ring every 6, 12 and 18 minutes and all rang together at 6:00 AM.
Prime factors: 6 = 2 × 3
12 = 22 × 3
18 = 2 × 32
LCM = 22 × 32
= 4 × 9
= 36 minutes
Next simultaneous ring = 6:00 AM + 36 minutes = 6:36 AM.
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