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# Of the 250 students in a certain class, each student who majors in

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Of the 250 students in a certain class, each student who majors in  [#permalink]

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Updated on: 08 Jul 2015, 04:47
1
4
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Difficulty:

55% (hard)

Question Stats:

66% (02:19) correct 34% (02:29) wrong based on 168 sessions

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Of the 250 students in a certain class, each student who majors in mathematics also majors in computer science, and 90 of the students major only in Biology. If no student majors in all 3 subjects, how many of the students major in two of the three subjects?

(1) 50 of the students major only in computer science
(2) 40 of the students do not major in any of the three subjects

Originally posted by schak2rhyme on 08 Jul 2015, 04:35.
Last edited by Bunuel on 08 Jul 2015, 04:47, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Of the 250 students in a certain class, each student who majors in  [#permalink]

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08 Jul 2015, 10:19
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schak2rhyme wrote:
Of the 250 students in a certain class, each student who majors in mathematics also majors in computer science, and 90 of the students major only in Biology. If no student majors in all 3 subjects, how many of the students major in two of the three subjects?

(1) 50 of the students major only in computer science
(2) 40 of the students do not major in any of the three subjects

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Re: Of the 250 students in a certain class, each student who majors in  [#permalink]

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08 Jul 2015, 05:19
2
schak2rhyme wrote:
Of the 250 students in a certain class, each student who majors in mathematics also majors in computer science, and 90 of the students major only in Biology. If no student majors in all 3 subjects, how many of the students major in two of the three subjects?

(1) 50 of the students major only in computer science
(2) 40 of the students do not major in any of the three subjects

1) We know information about computers but know nothing about students who do not major at all
2) Know about do not major but don't know about computer.

1+2)
We know that biology only = 90 and computer only = 50
Also we know that all math students also major in computers, so math only = 0
Not major 40 students

So Total - (Biology only + Computer only + Nor) = Exactly two
250 - (90 + 50 + 40) = 70 students

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Of the 250 students in a certain class, each student who majors in  [#permalink]

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08 Jul 2015, 21:20
how is the common term between math and biology zero?
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Re: Of the 250 students in a certain class, each student who majors in  [#permalink]

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08 Jul 2015, 21:56
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parthibansubramanian wrote:
how is the common term between math and biology zero?

Please note that "each student who majors in mathematics also majors in computer science" i.e. There is no one who is in maths but not in Computer Science. There for two regions are marked as Zero by red marker

I hope this helps!
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Re: Of the 250 students in a certain class, each student who majors in  [#permalink]

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22 Dec 2015, 09:30
On the GMAT, we cannot assume that if neither is not stated, then it is zero. In the given question, the collection consists of 250 students. It is wrong to assume that students definitely major in the category - one of the three subjects "at least". We also need to assume that there are students who fall into the category of 'Neither'

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Re: Of the 250 students in a certain class, each student who majors in  [#permalink]

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22 Dec 2015, 20:25
hdwnkr wrote:
On the GMAT, we cannot assume that if neither is not stated, then it is zero. In the given question, the collection consists of 250 students. It is wrong to assume that students definitely major in the category - one of the three subjects "at least". We also need to assume that there are students who fall into the category of 'Neither'

Please read the question and solution carefully. There is no assumption taken. Yes, you are right that we can't assume if something has not been stated and we have no way to conclude about it.

Here, solution doesn't consider none of three as zero, Taking that zero would contradict with second statement and violate rule of GMAT mathematics.
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Re: Of the 250 students in a certain class, each student who majors in  [#permalink]

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21 Jan 2019, 18:51
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Re: Of the 250 students in a certain class, each student who majors in   [#permalink] 21 Jan 2019, 18:51
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# Of the 250 students in a certain class, each student who majors in

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