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Three clocks are designed to alarm once every hour, every two hours and every three hours respectively. If they all alarmed together now, after how many hours they will together alarm next? A) 3 hours B) 6 hours C) 4 hours D) 12 hours

Three clocks are designed to alarm once every hour, every two hours and every three hours respectively. If they all alarmed together now, after how many hours they will together alarm next? A) 3 hours B) 6 hours C) 4 hours D) 12 hours Correct Answer B

LCM of 1 hour, 2 hour and 3 hours = 6 hours

∴ All the clocks alarm together at interval of 6 hours.

They all alarmed together now.

∴ They will again alarm together after 6 hours

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