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C
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Difficulty:
15%
(low)
Question Stats:
82% (01:09) correct
18%
(01:49)
wrong
based on 62
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History
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Every game of chess that Artem played this month resulted in a win, a loss, or a tie. What fraction of the chess games that Artem played this month did he win?
(1) The number of games that resulted in a tie was 1/4 the number of games that Artem won.
(2) Artem lost 2/5 of the games
(1) The number of games that resulted in a tie was 1/4 the number of games that Artem won.
(2) Artem lost 2/5 of the games
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Thank you for understanding, and happy exploring!
shameekv1989
05 Mar 2020, 15:59
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PersonGuy
First you will be asked to follow the Posting rules - https://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
As far as solution is concerned :-
There are 3 variables - won, tie and losses and since you just need a fraction of won/total games you just need to know either w:l:t or the fractions of losses and ties to total.
Statement i) gives fraction of tie to total - You don't know about the number or the fraction of losses and hence you can not know the fraction for won
Statement ii) gives fraction of losses to total - You don't know about the number or the fraction of ties and hence you can not know the fraction for won
Combining you can do the following :- since you just want to know the fraction - Take LCM of 4 and 5 and thus consider 20 games were played out of which he lost 8 times and tied 5. Thus he must have won 7 of 20 games giving you a ratio of 7/20 for wins.
Answer - C
05 Mar 2020, 20:42
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PersonGuy
1) The percentage of games Artem won has to be a multiple of 4. Many possibilities are possibe in this case, e.g 10% tie, 40% won, rest 50% lose or 15% tie, 60% won, 25% lose. so insufficient.
2) 40% of the games Artem lose. but we have no information for the tie and won games. not sufficient.
Together, we can get Artem lost 40% of the games. Among the rest 60%, the ration of won and lost games is 4 : 1. sufficient.
C is the CA.
