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2004 AMC 8 Question 19

AMC8 · 2004 AMC 8

Question 19

A whole number larger than $2$ leaves a remainder of $2$ when divided by each of the numbers $3,$ $4,$ $5,$ and $6.$ The smallest such number lies between which two numbers?
  1. $40$ and $49$
  2. $60$ and $79$
  3. $100$ and $129$
  4. $210$ and $249$
  5. $320$ and $369$