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1989 AMC 8 Question 18

AMC8 · 1989 AMC 8

Question 18

A calculator has a reciprocal key that replaces the number currently displayed with its reciprocal. For example, if the display shows $4$ and the key is pressed, the display becomes $0.25.$ If $32$ is currently displayed, what is the fewest number of times the reciprocal key must be pressed so that the display again reads $32?$
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$