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2011 AMC 12B Question 11

AMC12 · 2011 AMC 12B

Question 11

A frog located at $(x, y),$ with both $x$ and $y$ integers, makes successive jumps of length $5$ and always lands on points with integer coordinates. Suppose that the frog starts at $(0, 0)$ and ends at $(1, 0).$ What is the smallest possible number of jumps the frog makes?
  1. $2$
  2. $3$
  3. $4$
  4. $5$
  5. $6$