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2001 AMC 8 Question 25

AMC8 · 2001 AMC 8

Question 25

There are $24$ four-digit whole numbers that use each of the four digits $2,$ $4,$ $5,$ and $7$ exactly once. Only one of these four-digit numbers is a multiple of another one. Which of the following is it?
  1. $5724$
  2. $7245$
  3. $7254$
  4. $7425$
  5. $7542$