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In a class, 30 percent of the boys read The Telegraph every day. Boys

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In a class, 30 percent of the boys read The Telegraph every day. Boys  [#permalink]

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New post 25 Jun 2017, 04:15
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In a class, 30 percent of the boys read The Telegraph every day. Boys constitute 60 percent of the class and 40 percent of the whole class reads The Telegraph. What percentage of the class reads only gossip pages or only cartoons?

(1) Among the boys who read The Telegraph, 40 percent read only the cartoons and the rest read only the sports pages.
(2) Among the girls who read The Telegraph, 60 percent read only the gossip pages and the rest read only the fashion pages.

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Re: In a class, 30 percent of the boys read The Telegraph every day. Boys  [#permalink]

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New post 25 Jun 2017, 07:46
Bunuel wrote:
In a class, 30 percent of the boys read The Telegraph every day. Boys constitute 60 percent of the class and 40 percent of the whole class reads The Telegraph. What percentage of the class reads only gossip pages or only cartoons?

(1) Among the boys who read The Telegraph, 40 percent read only the cartoons and the rest read only the sports pages.
(2) Among the girls who read The Telegraph, 60 percent read only the gossip pages and the rest read only the fashion pages.



Boys = 60%
Girls = 40%
Telegraph +Boys = 30% of 60% = 18%
Telegraph = 40%
Telegraph +Girls = 22%


(1) Telegraph + Boys + Only Cartoon = 40% of 18% (Rest do not read only cartoon or only gossip)

(2) Telegraph +Girls + Only Gossip Pages = 60% of 22% ((Rest do not read only cartoon or only gossip)

Question is what % of reads only gossip pages or only cartoons (the question does not asks within telegraph reading population)

What if Boys + other source than telegraph for reading only gossip or only cartoon (means we do not have the information about boys who do not read telegraph)
What if Girls + other source than telegraph for reading only gossip or only cartoon (means we do not have the information about girls who do not read telegraph)

Hence E
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In a class, 30 percent of the boys read The Telegraph every day. Boys  [#permalink]

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New post 25 Jun 2017, 11:28
Assume the total number of students to be 300
From the question stem,
the number of boys are 180 and the number of girls are 120.
It has been given that 30% of the boys read The Telegraph(which is 30% of 180 = 54)
Since it is said that 40% of the whole class read The Telegraph, the number of girls reading the Telegraph are 66

We need to evaluate the percentage of the class which reads only Gossip/only Cartoons?

1. Among the boys who read The Telegraph, 40 percent read only the cartoons and the rest read only the sports pages.
Of the total number of boys 40% read only Cartoons and the rest(60%) read only Sports.
But, we do not have any information about the girls. Hence, insufficient.

2. Among the girls who read The Telegraph, 60 percent read only the gossip pages and the rest read only the fashion pages.
Of the total number of girls who read the Telegraph, 60% read only Gossip and the rest(40%) read only Fashion pages.
But, we do not have any information about the boys Hence, insufficient.

Combining both the statements,
we can evaluate the percentage of the class which reads only Gossip/only Cartoons
=> (40% of the boys reading Telegraph + 60% of the girls reading Telegraph) (Sufficient) (Option C)
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Re: In a class, 30 percent of the boys read The Telegraph every day. Boys  [#permalink]

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New post 25 Jun 2017, 21:10
Answer C:
X- total students
Question: 30% of 60% boys - reading telegraph: 18%of X
similarly, total girls reading telegraph: 22% of X

Statement 1: No info about girls given:
Only states: 40% of 18% of X (7.2% of X) reads cartoons
Insuff

Statement 2: No info about boys given:
States: 60% of 22% of X reads gossip
Insuff

Combining - you get an answer

7.2% + 13.2% of X
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Re: In a class, 30 percent of the boys read The Telegraph every day. Boys  [#permalink]

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New post 25 Sep 2018, 09:59
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Re: In a class, 30 percent of the boys read The Telegraph every day. Boys   [#permalink] 25 Sep 2018, 09:59
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