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1967 AMC 12 Question 22

AMC12 · 1967 AMC 12

Question 22

For natural numbers, when $P$ is divided by $D,$ the quotient is $Q$ and the remainder is $R.$ When $Q$ is divided by $D',$ the quotient is $Q'$ and the remainder is $R'.$ Then, when $P$ is divided by $DD',$ the remainder is:
  1. $R+R'D$
  2. $R'+RD$
  3. $RR'$
  4. $R$
  5. $R'$