Actually kingflow, I'd still say it's E because we actually dont have data in (2) to say the three wins total in above explanation is ruled out
with a 3-0-1 record 10 points we have only 5 points for 3 remaining teams when the minimum is infact 0 possibly for two team we know L defeated
This is not a very rigorous approach but it works:
1. This tells us that Team L went 2-0-2 but we don't know anything about the other teams except 2 of them have at least 1 draw each and 2 have at least 1 loss each. Also no team went 4-0-0 since Team L did not have a loss. Insufficient.
2. Clearly insufficient.
1 and 2. 2-0-2 happens to be the best record possible for a team with 2 wins and the best record for a team with 1 win is 1-0-3 for a total of 6 points. So the question becomes was there a team with 3 wins? A possible scenario with a team with 3 wins is
3-0-1 (10)
L: 2-0-2 (8)
2-1-1 (7)
1-3-0 (3)
0-4-0 (0)
For a total of 10+8+7+3=28 points. The only way to lower this number is to convert wins and losses into draws for the lower 3 teams. Then the scenario with minimal points is:
3-0-1 (10)
L: 2-0-2 (8)
0-1-3 (3)
0-2-2 (2)
0-2-2 (2)
Points: 10+8+3+2+2=25.
Since 25>23, there could not have been a team with 3 wins. The answer is Yes. Sufficient. Answer C.
with a 3-0-1 record 10 points we have only 5 points for 3 remaining teams when the minimum is infact 0 possibly for two team we know L defeated
Observer wrote:
kingflo wrote:
In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?
(1) Team L finished with 8 points.
(2) The sum of all five teams’ point totals for the tournament was 23 points.
(1) Team L finished with 8 points.
(2) The sum of all five teams’ point totals for the tournament was 23 points.
This is not a very rigorous approach but it works:
1. This tells us that Team L went 2-0-2 but we don't know anything about the other teams except 2 of them have at least 1 draw each and 2 have at least 1 loss each. Also no team went 4-0-0 since Team L did not have a loss. Insufficient.
2. Clearly insufficient.
1 and 2. 2-0-2 happens to be the best record possible for a team with 2 wins and the best record for a team with 1 win is 1-0-3 for a total of 6 points. So the question becomes was there a team with 3 wins? A possible scenario with a team with 3 wins is
3-0-1 (10)
L: 2-0-2 (8)
2-1-1 (7)
1-3-0 (3)
0-4-0 (0)
For a total of 10+8+7+3=28 points. The only way to lower this number is to convert wins and losses into draws for the lower 3 teams. Then the scenario with minimal points is:
3-0-1 (10)
L: 2-0-2 (8)
0-1-3 (3)
0-2-2 (2)
0-2-2 (2)
Points: 10+8+3+2+2=25.
Since 25>23, there could not have been a team with 3 wins. The answer is Yes. Sufficient. Answer C.