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In a school, 80% of the students play either football or cricket .....
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Updated on: 29 Oct 2018, 23:28
Question Stats:
82% (01:45) correct 18% (02:17) wrong based on 114 sessions
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In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football? A. 42% B. 48% C. 52% D. 52.5% E. 65%
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Re: In a school, 80% of the students play either football or cricket .....
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09 Oct 2018, 05:49
EgmatQuantExpert wrote: In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. 35% of the students, who play any sport, play cricket. What percent of students, in the school, play football? A. 42% B. 48% C. 52% D. 52.5% E. 65%
So say there are 100 students, 80 out of these play games. 35% of 80 play cricket, so remaining 65% of 80 play football =\(80*\frac{65}{100}=52\) So 52 out of 100 play football, in % it is 100*52/100=52% C
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Re: In a school, 80% of the students play either football or cricket .....
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09 Oct 2018, 08:06
EgmatQuantExpert wrote: In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football? A. 42% B. 48% C. 52% D. 52.5% E. 65%
\(n(F∩C) = 80\) , \(n(F∩C)' = 20\) ; \(n(F∪C) = 100\) \(n(C)\) is 35% of 80 = 28 \(n(F)\) is 80  28 = 52 Answer must be (C) 52, its better to solve such problems using Venn Diagram for beginners....
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Re: In a school, 80% of the students play either football or cricket .....
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09 Oct 2018, 09:56
what kind of wording is this question? Are you kidding me, questions like this will never appear on the real Gmatfor sure!!!!



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Re: In a school, 80% of the students play either football or cricket .....
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11 Oct 2018, 04:30
Solution Given:• 80% of the students, in a school, play either cricket or football and rest don’t play any sport • 35% of the students, who play a sport, play only cricket To find:• The percentage of students, in the school, who play football Approach and Working: • Let us assume that the total number of students in the school = 100x
o So, the number of students, who play cricket or football = 100x * \(\frac{80}{100}\) = 80x o The number of students, who play only cricket = 80x * \(\frac{35}{100}\) = 28x o This implies that the number of students, who play football = 80x  28x = 52x • Therefore, percentage of students, who play football = \((\frac{52x}{100x}) * 100 = 52\)%
Hence, the correct answer is Option C. Answer: C
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Re: In a school, 80% of the students play either football or cricket .....
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12 Oct 2018, 07:53
EgmatQuantExpert wrote: In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football? A. 42% B. 48% C. 52% D. 52.5% E. 65%
Let’s assume there are 100 students in the school. So 80 of them play either football or cricket, and 0.35 x 80 = 28 students play only cricket. So 80  28 = 52 students play football (note: any of these 52 students can play only football or both football and cricket). Therefore, the percent of students who play football is 52/100 = 52%. Answer: C
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Re: In a school, 80% of the students play either football or cricket .....
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18 Aug 2019, 00:48
Hi all, Can any of you please explain through a venn diagram? And can we just do this using percents only and not assuming the total value as 100 or 100X?



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Re: In a school, 80% of the students play either football or cricket .....
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18 Aug 2019, 01:25
EgmatQuantExpert wrote: In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football? A. 42% B. 48% C. 52% D. 52.5% E. 65%
To read all our articles: Must read articles to reach Q51 Given: In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. Asked: If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football? In a school, 80% of the students play either football or cricket, and the rest (20%) don’t play any sport. 35% of the students, who play any sport (80%), play only cricket = 35% *80% = 28% Percent of students, in the school, play football = 80%  28% = 52% (since 80% play football or cricket and 28% play only cricket.) IMO C
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Re: In a school, 80% of the students play either football or cricket .....
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