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# In a school, 80% of the students play either football or cricket .....

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e-GMAT Representative
Joined: 04 Jan 2015
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In a school, 80% of the students play either football or cricket .....  [#permalink]

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Updated on: 29 Oct 2018, 23:28
00:00

Difficulty:

15% (low)

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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Originally posted by EgmatQuantExpert on 09 Oct 2018, 04:15.
Last edited by EgmatQuantExpert on 29 Oct 2018, 23:28, edited 2 times in total.
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Re: In a school, 80% of the students play either football or cricket .....  [#permalink]

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09 Oct 2018, 05:49
1
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 .....  [#permalink]

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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 .....  [#permalink]

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09 Oct 2018, 09:56
1
what kind of wording is this question? Are you kidding me, questions like this will never appear on the real Gmat-for sure!!!!
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Re: In a school, 80% of the students play either football or cricket .....  [#permalink]

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11 Oct 2018, 04:30
1

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.

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Re: In a school, 80% of the students play either football or cricket .....  [#permalink]

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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%.

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Re: In a school, 80% of the students play either football or cricket .....  [#permalink]

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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 .....  [#permalink]

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18 Aug 2019, 01:25
1
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%

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 .....   [#permalink] 18 Aug 2019, 01:25
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