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1993 AMC 12 Question 7

AMC12 · 1993 AMC 12

Question 7

The symbol $R_k$ stands for an integer whose base-ten representation is a sequence of $k$ ones. For example, $R_3=111,$ $R_5=11111,$ etc. When $R_{24}$ is divided by $R_4,$ the quotient $Q=\frac{R_{24}}{R_4}$ is an integer whose base-ten representation is a sequence containing only ones and zeros. The number of zeros in $Q$ is
  1. $10$
  2. $11$
  3. $12$
  4. $13$
  5. $15$