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19 Jan 2012, 17:14
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (02:21) correct
36%
(02:24)
wrong
based on 612
sessions
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Not Attempted Yet
In order to play a certain game, 24 players must be split into n teams, with each team having an equal number of players. If there are more than two teams, and if each team has more than two players, how many teams are there?
(1) If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams.
(1) If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams.
As the OA is not provided, I would like to double check my solution for this problem. This is how I solved it.
Considering the Question Stem
Total players = 24
Number of Teams > 2
Players in each Team > 2
Number of Teams ---> We have to find.
Considering Statement 1
13 players join. So total players = 24+13 = 37. 1 sit out, so total players 36. So now the number of teams can be 18, 12, 9. Therefore insufficient
Considering Statement 2
7 new players join. So total players = 24 + 7 = 29. 1 sit out, so total players 28. Again, the number of teams can be 14, 7, 4. Therefore insufficient.
Combining the two statements - > We can't calculate the exact number of teams and therefore my answer is E. Can you please check and let me know your thoughts guys?
Considering the Question Stem
Total players = 24
Number of Teams > 2
Players in each Team > 2
Number of Teams ---> We have to find.
Considering Statement 1
13 players join. So total players = 24+13 = 37. 1 sit out, so total players 36. So now the number of teams can be 18, 12, 9. Therefore insufficient
Considering Statement 2
7 new players join. So total players = 24 + 7 = 29. 1 sit out, so total players 28. Again, the number of teams can be 14, 7, 4. Therefore insufficient.
Combining the two statements - > We can't calculate the exact number of teams and therefore my answer is E. Can you please check and let me know your thoughts guys?
19 Jan 2012, 18:53
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In order to play a certain game, 24 players must be split into n teams, with each team having an equal number of players. If there are more than two teams, and if each team has more than two players, how many teams are there?
Given: n>2 and 24/n>2, so basically n is a factor of 24 satisfying both requirements (2<n<12). n can take the following values: 3, 4, 6, and 8. Question: n=?
(1) If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams --> (24+13)-1=36 is also multiple of n --> n can be: 3, 4, or 6. Not sufficient.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams --> (24+7)-1=30 is also a multiple of n --> n can be: 3, or 6. Not sufficient.
(1)+(2) n can still be: 3 or 6. Not sufficient.
Answer: E.
Given: n>2 and 24/n>2, so basically n is a factor of 24 satisfying both requirements (2<n<12). n can take the following values: 3, 4, 6, and 8. Question: n=?
(1) If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams --> (24+13)-1=36 is also multiple of n --> n can be: 3, 4, or 6. Not sufficient.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams --> (24+7)-1=30 is also a multiple of n --> n can be: 3, or 6. Not sufficient.
(1)+(2) n can still be: 3 or 6. Not sufficient.
Answer: E.
General Discussion
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20 Jan 2012, 06:33
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n has to be between 2 and 24 (2<n<24) as two restrictions are given:
First: n>2 more than 2 teams
Second: 24/n>2 more than 2 Player per team
Additionally: To get a fair split n needs to be a factor of 24
1: 37-1 = 36 --> N = 3, 4, 6, 9 --> Not sufficient
2: 31-1= 30 --> N = 3, 6, --> Not sufficient
Even though if both Statements are taken together, it is not sufficient.
First: n>2 more than 2 teams
Second: 24/n>2 more than 2 Player per team
Additionally: To get a fair split n needs to be a factor of 24
1: 37-1 = 36 --> N = 3, 4, 6, 9 --> Not sufficient
2: 31-1= 30 --> N = 3, 6, --> Not sufficient
Even though if both Statements are taken together, it is not sufficient.
