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All the members of a gymnastics team perform in either the rings or ba 08 Nov 2021, 04:45
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65% (hard)

Question Stats:

69% (02:50) correct 31% (02:33) wrong based on 199 sessions

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All the members of a gymnastics team perform in either the rings or balance beam event and less than 22% of the members are male. Only 8 members on the team perform in the rings event, while twice that perform on the balance beam. If there are only 3 female members who perform in the rings event and one of those is the only member to perform in the rings and on the balance beam, how many total members are on the team?

(A) 12

(B) 13

(C) 18

(D) 23

(E) 24
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D
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All the members of a gymnastics team perform in either the rings or ba 08 Nov 2021, 09:54
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Bunuel
All the members of a gymnastics team perform in either the rings or balance beam event and less than 22% of the members are male. Only 8 members on the team perform in the rings event, while twice that perform on the balance beam. If there are only 3 female members who perform in the rings event and one of those is the only member to perform in the rings and on the balance beam, how many total members are on the team?

(A) 12

(B) 13

(C) 18

(D) 23

(E) 24
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8 members perform in the rings event where 3 female members perform. So male members performing rings event will be 5.

No. of male members is less than 22% but it should be atleast 5. Only option E will satisfy the same. If you take 22 % of 24, it will be 5.28. No. of men will be 5 in that case. For all other cases, the number will be 4 or less.

Option E
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All the members of a gymnastics team perform in either the rings or ba 10 Jun 2024, 05:25
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This is a poorly worded question. Please Use "only " carefully­
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All the members of a gymnastics team perform in either the rings or ba 14 Jun 2024, 02:46
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Bunuel
All the members of a gymnastics team perform in either the rings or balance beam event and less than 22% of the members are male. Only 8 members on the team perform in the rings event, while twice that perform on the balance beam. If there are only 3 female members who perform in the rings event and one of those is the only member to perform in the rings and on the balance beam, how many total members are on the team?

(A) 12

(B) 13

(C) 18

(D) 23

(E) 24
Show more
­
This was my approach but I am not sure if it was correct approach.

Drawing venn diagram:

Total number of participants performing Rings n(R) = 8
Total number of participants performing Balance beam n(B) = 2*8 = 16

Given that there are 3 female participants who are on Rings but one of them is doing both rings and beams, means there is an overlap of sets, therefore, n(R∩B) = 1

To find total participants, find union of Rings and Balance beam.

\(n(R∪B) = n(R)+n(B)-n(R∩B) = 8+16-1 = 23\)

I did not use the data about 22% members being male. I don't know if this is relevant in the question. Bunuel can you please let me know if this is correct approach?





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All the members of a gymnastics team perform in either the rings or ba 14 Jun 2024, 11:07
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a191291r

Bunuel
All the members of a gymnastics team perform in either the rings or balance beam event and less than 22% of the members are male. Only 8 members on the team perform in the rings event, while twice that perform on the balance beam. If there are only 3 female members who perform in the rings event and one of those is the only member to perform in the rings and on the balance beam, how many total members are on the team?

(A) 12

(B) 13

(C) 18

(D) 23

(E) 24
­
This was my approach but I am not sure if it was correct approach.

Drawing venn diagram:

Total number of participants performing Rings n(R) = 8
Total number of participants performing Balance beam n(B) = 2*8 = 16

Given that there are 3 female participants who are on Rings but one of them is doing both rings and beams, means there is an overlap of sets, therefore, n(R∩B) = 1

To find total participants, find union of Rings and Balance beam.

\(n(R∪B) = n(R)+n(B)-n(R∩B) = 8+16-1 = 23\)

I did not use the data about 22% members being male. I don't know if this is relevant in the question. Bunuel can you please let me know if this is correct approach?





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­It seems correct.
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