chess

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Tue Feb 09, 2010 7:15 am

N girls and 2N boys played a chess tournament. Every player played every other player exactly once. The boys won 7/5 times as many matches as the girls (and there were no draws). Then which among the following is definitely false? (Assume 1 point for a win and 0 for a loss)

a Boys pocketed prime number of points against girls
b Girls always won twice or more matches than boys won against them
c The sum of the scores of top 3 individual players was not between 25 and 33
d The sum of the scores of top 3 individual players was 69
e none of these

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Source: Beat The GMAT — Problem Solving | Tue Feb 09, 2010 7:15 am

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Tue Feb 09, 2010 2:21 pm

shashank.ism wrote:N girls and 2N boys played a chess tournament. Every player played every other player exactly once. The boys won 7/5 times as many matches as the girls (and there were no draws). Then which among the following is definitely false? (Assume 1 point for a win and 0 for a loss)

a Boys pocketed prime number of points against girls
b Girls always won twice or more matches than boys won against them
c The sum of the scores of top 3 individual players was not between 25 and 33
d The sum of the scores of top 3 individual players was 69
e none of these

total no. of matches = (3N) C 2 . [total no. of points = 3N C 2]
let the girls have won x matches. (x points )
the boys have won 7/5 x matches. (7/5 x points)

By logic, b is definitely false.

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