Mathematics3 bells ring at an interval of 4,7 and 14 minutes. All three bell rang at 6 am, when the three balls will the ring together next?

3 bells ring at an interval of 4,7 and 14 minutes. All three bell rang at 6 am, when the three balls will the ring together next?


  1. A
    6: 28 am
  2. B
    6: 48 am
  3. C
    6: 78 am
  4. D
    6: 58 am 

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    Solution:

    Given that 3 bells ring at interval of 4, 7 and 14 minutes.
    At 6am, 3 bells rang.
    Let the bells ring at 1,2,3 minutes.
    At 6 Minutes all of them ring together.
    Here time when they next ring together is LCM of 4,7 and 14.
    Then, 2×2×7=28 minutes.
    Thus, the time when the three bells ring together is 6: 28 am.
    Therefore, option (1) is correct.
     

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