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1966 AMC 12 Question 38

AMC12 · 1966 AMC 12

Question 38

In triangle $ABC$ the medians $AM$ and $CN$ to sides $BC$ and $AB,$ respectively, intersect in point $O.$ $P$ is the midpoint of side $AC,$ and $MP$ intersects $CN$ in $Q.$ If the area of triangle $OMQ$ is $n,$ then the area of triangle $ABC$ is:
  1. $16n$
  2. $18n$
  3. $21n$
  4. $24n$
  5. $27n$