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1971 AMC 12 Question 12

AMC12 · 1971 AMC 12

Question 12

For each integer $N\gt1,$ define positive integers to be congruent if they leave the same nonnegative remainder when divided by $N.$ If $69,$ $90,$ and $125$ are congruent in one such system, then in that same system, $81$ is congruent to:
  1. $3$
  2. $4$
  3. $5$
  4. $7$
  5. $8$