1966 AHSME Problems/Problem 38

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

$\fbox{D}$

1966 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 37	Followed by Problem 39
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
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1966 AHSME Problems/Problem 38

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