Data Sufficiency (DS) | A sports team played 100 games last season. Did this team

We know from 1/2 that the team won 39 of its first 65 games and 39 of its last 65 games, but we do not know how those wins are distributed.

Case 1: No overlap - the team is like the Golden State Warriors and steam-rolls game after game without losing.
Assume the team won games 1 - 39 (inclusive) = 39 wins
and that it also won games 40 - 78 (inclusive) = 39 wins

Total wins = 39 + 39 = 78 wins >= 50 wins, thus Yes

Case 2: Overlap
Assume the team won games 27 - 65 (inclusive) = 39 wins
and that we are told it also won games, 35 - 73 (inclusive) = 39 wins

How many games did it actually win?

Notice the overlap from games 35 to 65; we are double counting the wins, and we have to subtract the overlapping wins; therefore,
Total wins = 39 + 39 - 30 (the overlap) = 48 wins <= 50 wins, thus No

Statistics : Posted by tasos777btj • on 27 Jul 2014, 11:05 • Replies 12 • Views 16975

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