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2012 AMC 8 Question 15

AMC8 · 2012 AMC 8

Question 15

The smallest number greater than $2$ that leaves a remainder of $2$ when divided by $3,$ $4,$ $5,$ or $6$ lies between what numbers?
  1. $40$ and $50$
  2. $51$ and $55$
  3. $56$ and $60$
  4. $61$ and $65$
  5. $66$ and $99$