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At a certain carnival with 800 patrons, 300 of the female patrons like

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Bunuel
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At a certain carnival with 800 patrons, 300 of the female patrons like [#permalink] New post   06 Apr 2016, 02:08
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At a certain carnival with 800 patrons, 300 of the female patrons like clowns, and 450 of the patrons are male. What is the total number of patrons who like clowns?

(1) At least 450 of the males at the carnival do not like clowns.
(2) 50 females at the carnival do not like clowns.
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Re: At a certain carnival with 800 patrons, 300 of the female patrons like [#permalink] New post   06 Apr 2016, 04:09
Total number of patrons = 800
Number of male patrons = 450
Number of female patrons = 350
Number of female patrons who like clowns = 300
total number of patrons who like clowns = Number of female patrons who like clowns + Number of male patrons who like clowns

(1) At least 450 of the males at the carnival do not like clowns.
As per statement 1 , none of male patrons like clowns
Sufficient
(2) 50 females at the carnival do not like clowns
This information is already given
Not sufficient

Answer A
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Re: At a certain carnival with 800 patrons, 300 of the female patrons like [#permalink] New post   06 Apr 2016, 17:29
At a certain carnival with 800 patrons, 300 of the female patrons like clowns, and 450 of the patrons are male. What is the total number of patrons who like clowns?

(1) At least 450 of the males at the carnival do not like clowns.
This means that there are 0 males that like clowns, so only 300 patrons like clowns
Sufficient

(2) 50 females at the carnival do not like clowns.
This information is already given
Insufficient

Answer: A
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Re: At a certain carnival with 800 patrons, 300 of the female patrons like [#permalink] New post   03 Apr 2023, 22:52
Expert Reply
Bunuel wrote:
At a certain carnival with 800 patrons, 300 of the female patrons like clowns, and 450 of the patrons are male. What is the total number of patrons who like clowns?
(1) At least 450 of the males at the carnival do not like clowns.
(2) 50 females at the carnival do not like clowns.

Solution:
Pre Analysis:
  • Best way to solve such questions is using a 2*2 grid
  • According to the information in question stem:
Attachment:
grid.png
grid.png [ 5.89 KiB | Viewed 609 times ]


Statement 1: At least 450 of the males at the carnival do not like clowns
  • According to this statement, males who do not like clown \(\ge 450\)
  • But total number of males is 450
  • Therefore, males who do not like clown \(= 450\) and who like clown \(=0\)
  • total number of patrons who like clowns = 300
  • Thus, statement 1 alone is sufficient and we can eliminate options B, C and E

[b]Statement 2: 50 females at the carnival do not like clowns
  • According to this statement, females who do not like clown \(= 50\)
  • This will be of no help to get the answer

Hence the right answer is Option A
GMAT Club Bot
gmatclubot
Re: At a certain carnival with 800 patrons, 300 of the female patrons like [#permalink]
03 Apr 2023, 22:52
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Bunuel
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