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Of the students in a class, 90% had taken a course in writing, or math

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Of the students in a class, 90% had taken a course in writing, or math  [#permalink]

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New post 11 Feb 2019, 06:26
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Question Stats:

56% (01:23) correct 44% (01:34) wrong based on 25 sessions

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Of the students in a class, 90% had taken a course in writing, or math, or both. What percent of the students had taken both a course in writing and a course in math?

(1) 55% of the students had taken a course in writing.

(2) 35% of the students had taken a course in only math.

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Re: Of the students in a class, 90% had taken a course in writing, or math  [#permalink]

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New post 11 Feb 2019, 07:14
Consider 100 students in the class.

From S1:

55 had taken Writing. No info about maths or both.
Hence S1 is insufficient.

From S2:

35 had only taken maths. Again, No info about writing or both.
Hence S2 is insufficient.

Combining both also don't give info about those who had taken both.
Hence E is the answer.
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Re: Of the students in a class, 90% had taken a course in writing, or math  [#permalink]

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New post 17 Feb 2019, 04:04
rohan2345 wrote:
Of the students in a class, 90% had taken a course in writing, or math, or both. What percent of the students had taken both a course in writing and a course in math?

(1) 55% of the students had taken a course in writing.

(2) 35% of the students had taken a course in only math.



Dear Moderator,
Found this DS question in the PS section of overlapping sets , hope you will do the needful. Thank you.
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Re: Of the students in a class, 90% had taken a course in writing, or math  [#permalink]

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New post 29 Aug 2019, 13:40
rohan2345 wrote:
Of the students in a class, 90% had taken a course in writing, or math, or both. What percent of the students had taken both a course in writing and a course in math?

(1) 55% of the students had taken a course in writing.

(2) 35% of the students had taken a course in only math.


Let's say we have 100 students. 90 of them have taken a course in Writing, or Math, or Both. I set up my Venn diagram to have the following:
\(x\) equal the number of students who only took Math
\(y\) equal the number of students who only took Writing
\(z\) equal the number of students who took both Math and Writing

So, from the prompt we know that \(x+y+z=90\). Now let's look at the statements:

(1) 55 students took a course in Writing

This means that \(x+z=55\) so we know that \(y=35\). However, we have no way of discerning what \(z\) is from the given info. Not Sufficient

(2) 35 students had a course only in Math

This means that \(y=35\), but no information on \(x\) or \(z\). Not Sufficient

(1+2) Together, the statements don't provide any new information, so (E) is the answer
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Re: Of the students in a class, 90% had taken a course in writing, or math   [#permalink] 29 Aug 2019, 13:40
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