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
Attachments
In a graduating class of 236 students.png [ 16.31 KiB | Viewed 1248 times ]
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I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/