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In a certain class of 66 students, 30 students study Science

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In a certain class of 66 students, 30 students study Science  [#permalink]

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New post 16 Jan 2018, 08:50
2
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A
B
C
D
E

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Question Stats:

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In a certain class of 66 students, 30 students study Science, 40 students study Humanities and 40 students study Dance. If all the students studied at least one of the subjects, then what is the maximum possible number of students who study all the three subjects?

A) 38
B) 35
C) 32
D) 22
E) 20

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Re: In a certain class of 66 students, 30 students study Science  [#permalink]

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New post 16 Jan 2018, 11:41
saswata4s wrote:
In a certain class of 66 students, 30 students study Science, 40 students study Humanities and 40 students study Dance. If all the students studied at least one of the subjects, then what is the maximum possible number of students who study all the three subjects?

A) 38
B) 35
C) 32
D) 22
E) 20


Total = A+B+C - Exactly(AB +BC +AC) - 2(ABC) since we need to maximize ABC exactly ( AB+BC+AC) should be 0.
Hence 66 = 30+40+40 - 2(ABC)
OR
ABC= (110-66)/2 i.e. 22.

Hence Ans is D

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
GMAT Club Bot
Re: In a certain class of 66 students, 30 students study Science &nbs [#permalink] 16 Jan 2018, 11:41
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In a certain class of 66 students, 30 students study Science

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