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

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

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11 Feb 2019, 06:26
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Difficulty:

55% (hard)

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

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