1966 AHSME Problems/Problem 38

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Problem

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:

$\text{(A) } 16n \quad \text{(B) } 18n \quad \text{(C) } 21n \quad \text{(D) } 24n \quad \text{(E) } 27n$

Solution

$\fbox{D}$

See also

1966 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 37
Followed by
Problem 39
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