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1990 AMC 12 Question 29

AMC12 · 1990 AMC 12

Question 29

A subset of the integers $1,$ $2,$ $\ldots,$ $100$ has the property that none of its members is $3$ times another. What is the largest number of members such a subset can have?
  1. $50$
  2. $66$
  3. $67$
  4. $76$
  5. $78$