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

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Current Student
Joined: 27 May 2014
Posts: 502
GMAT 1: 730 Q49 V41
In a certain class of 66 students, 30 students study Science  [#permalink]

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16 Jan 2018, 08:50
3
00:00

Difficulty:

35% (medium)

Question Stats:

100% (01:32) correct 0% (00:00) wrong based on 5 sessions

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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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Joined: 29 Nov 2016
Posts: 206
Location: India
GMAT 1: 750 Q50 V42
Re: In a certain class of 66 students, 30 students study Science  [#permalink]

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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 ==--

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

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28 Mar 2020, 04:50
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Re: In a certain class of 66 students, 30 students study Science   [#permalink] 28 Mar 2020, 04:50