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IMAS 2013 Junior Division First Round Question 20

IMAS · IMAS 2013 Junior Division First Round

Question 20

Fanny, Lily and Sherry all shop at regular intervals, Fanny once every 3 days, Lily once every 4 days and Sherry once every 5 days. Yesterday, all three shopped. On how many of the next 100 days, starting from today (today is the first day), will at least two of them be shopping?
  1. 16
  2. 17
  3. 18
  4. 19
  5. 20