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In a graduating class of 236 students, 142 took algebra and 121 took

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Carcass
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In a graduating class of 236 students, 142 took algebra and 121 took [#permalink] New post   23 Jul 2021, 10:15
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In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest number of students that could have taken both algebra and chemistry?

(A) 21
(B) 27
(C) 37
(D) 121
(E) 142


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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
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Re: In a graduating class of 236 students, 142 took algebra and 121 took [#permalink] New post   23 Jul 2021, 10:56
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Carcass wrote:
In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest number of students that could have taken both algebra and chemistry?

(A) 21
(B) 27
(C) 37
(D) 121
(E) 142


In order to maximize the intersection of two sets, we can put the smaller set into the bigger one (as shown in the figure)

Here, all Chemistry students can take both Algebra and Chemistry.
Hence, option D
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Re: In a graduating class of 236 students, 142 took algebra and 121 took [#permalink]
23 Jul 2021, 10:56
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