MathDB
AJHSME 1991 Problem 17

Source:

June 24, 2011

Problem Statement

An auditorium with 2020 rows of seats has 1010 seats in the first row. Each successive row has one more seat than the previous row. If students taking an exam are permitted to sit in any row, but not next to another student in that row, then the maximum number of students that can be seated for an exam is
(A) 150(B) 180(C) 200(D) 400(E) 460\text{(A)}\ 150 \qquad \text{(B)}\ 180 \qquad \text{(C)}\ 200 \qquad \text{(D)}\ 400 \qquad \text{(E)}\ 460
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