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AJHSME 1991 Problem 14

Source:

June 24, 2011

Problem Statement

Several students are competing in a series of three races. A student earns 55 points for winning a race, 33 points for finishing second and 11 point for finishing third. There are no ties. What is the smallest number of points that a student must earn in the three races to be guaranteed of earning more points than any other student?
(A) 9(B) 10(C) 11(D) 13(E) 15\text{(A)}\ 9 \qquad \text{(B)}\ 10 \qquad \text{(C)}\ 11 \qquad \text{(D)}\ 13 \qquad \text{(E)}\ 15
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