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

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schak2rhyme
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Of the 250 students in a certain class, each student who majors in [#permalink] New post   Updated on: 08 Jul 2015, 05:47
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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
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C

Originally posted by schak2rhyme on 08 Jul 2015, 05:35.
Last edited by Bunuel on 08 Jul 2015, 05:47, 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] New post   08 Jul 2015, 11:19
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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


Answer: Option C

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Re: Of the 250 students in a certain class, each student who majors in [#permalink] New post   08 Jul 2015, 06:19
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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


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

Answer is C
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Of the 250 students in a certain class, each student who majors in [#permalink] New post   08 Jul 2015, 22:20
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] New post   08 Jul 2015, 22:56
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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] New post   22 Dec 2015, 10:30
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'

Can experts please confirm this? Bunuel VeritasPrepKarishma Engr2012 Please help
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Re: Of the 250 students in a certain class, each student who majors in [#permalink] New post   22 Dec 2015, 21:25
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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'

Can experts please confirm this? Bunuel VeritasPrepKarishma Engr2012 Please help


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] New post   18 May 2020, 23:01
If we just draw the ven-diagram ( it's the most crucial here, find in the attached figure) , the picture is very clear

Total area = 250
No students in any of the three majors = 40 [clue-2]

So total intersection = 250-40 = 210

Now, Solely computer major is 50 [clue-1] and solely biology graduate is 90

so common area = (210-(50+90)) = 70

Answer is 90 .

So , both clue is used, a single clue is not sufficient. Therefore option - C is correct choice.
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Re: Of the 250 students in a certain class, each student who majors in [#permalink] New post   26 Jun 2023, 18:48
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Re: Of the 250 students in a certain class, each student who majors in [#permalink]
26 Jun 2023, 18:48
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