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    Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously
    Question

    Three bells start ringing after interval of 20 minutes, 25 minutes and 40 minutes. They ringsimultaneously at 8: 00 am. They will ring simultaneously again at :

    A.

    9: 00 am

    B.

    10: 00 am

    C.

    11: 20 am

    D.

    12: 20 pm

    Correct option is C

    Given:

    Three bells ring at intervals of 20 minutes, 25 minutes, and 40 minutes.

    They ring together at 8:00 AM. Find the time when they will ring together again.

    Solution:

    20 = 22×2^2 \times​ 5

    25 = 525^2​​

    40 = 23×52^3 \times 5​​

    LCM = 23×52=8×252^3 \times 5^2 = 8 \times 25​ = 200 minutes

    200 minutes = 3 hours 20 minutes

    Now,  They will rang together at; 

    = 8:00 AM + 3:20 = 11:20 AM

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