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Miscellaneous·2019·Easy

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?

Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?

Options

  1. a.

    7th January

  2. b.

    8th January

  3. c.

    12th January

  4. d.

    13th January

    Correct answer

Explanation

Answer is (d). Seeta goes swimming every 3rd day, and Geeta goes swimming every 4th day. The least common multiple (LCM) of 3 and 4 is 12. So, they will swim together every 12th day. Therefore, on the 12th day after January 1, they will go swimming together, which is January 13th.

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