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If the students at Count Able High School all take a science class, a

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Bunuel
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If the students at Count Able High School all take a science class, a [#permalink] New post   13 Jan 2021, 01:15
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42% (01:22) correct 58% (01:30) wrong based on 126 sessions
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If the students at Count Able High School all take a science class, a mathematics class, or both during their senior year, how many take only a mathematics class?

(1) Of the 300 seniors, 2/3 took a mathematics class.
(2) Of the 300 seniors, 2/3 took a science class.


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TarunKumar1234
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Re: If the students at Count Able High School all take a science class, a [#permalink] New post   Updated on: 14 Jan 2021, 10:23
If the students at Count Able High School all take a science class, a mathematics class, or both during their senior year, how many take only a mathematics class?

Stat1: Of the 300 seniors, 2/3 took a mathematics class.
given, n(M) = 200, now, we don't know n (S) and n (M⋂S). Not sufficient

Stat2: Of the 300 seniors, 2/3 took a science class.
given, n(S) = 200, so, left only will be maths = 300-200 =100 sufficient

It is B. :)

Originally posted by TarunKumar1234 on 13 Jan 2021, 14:11.
Last edited by TarunKumar1234 on 14 Jan 2021, 10:23, edited 1 time in total.
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Re: If the students at Count Able High School all take a science class, a [#permalink] New post   13 Jan 2021, 22:26
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Students who took only Maths = m
Students who took only Science = s
Students who took both = b



We need to figure out 'm'

Statement 1- m+s+b = 300 and m+b=200

Hence, s=300-200=100; But we can't figure out 'm'

Insufficient

Statement 2- m+s+b = 300 and s+b=200

Hence, m= 300-200 =100

sufficient



Bunuel wrote:
If the students at Count Able High School all take a science class, a mathematics class, or both during their senior year, how many take only a mathematics class?

(1) Of the 300 seniors, 2/3 took a mathematics class.
(2) Of the 300 seniors, 2/3 took a science class.


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Re: If the students at Count Able High School all take a science class, a [#permalink] New post   13 Jan 2021, 23:23
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If the students at Count Able High School all take a science class, a mathematics class, or both during their senior year, how many take only a mathematics class?

(1) Of the 300 seniors, 2/3 took a mathematics class.

No info about students taking both the subjects

Not sufficient

(2) Of the 300 seniors, 2/3 took a science class.

Only mathematics = total - science = 300 - 200 = 100

Sufficient

Option B

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Re: If the students at Count Able High School all take a science class, a [#permalink] New post   20 Jan 2021, 18:40
So just to clarify, the key piece of information in the stem is that neither = 0?
I glossed over that detail hence, I thought the answer was E.
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Re: If the students at Count Able High School all take a science class, a [#permalink] New post   22 Jan 2022, 09:40
Hello from the GMAT Club BumpBot!

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Re: If the students at Count Able High School all take a science class, a [#permalink]
22 Jan 2022, 09:40
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