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Bunuel
A class of 40 students is to be divided into smaller groups. If each group is to contain 3, 4, or 5 people, what is the largest number of groups possible?

A. 8
B. 10
C. 12
D. 13
E. 14



The largest number of groups can be formed occurs when the number of people in each group is as few as possible. That is, in this case, we want as many groups of 3 people as possible. Since 40/3 = 13 R 1, we can divide the 40 students into 12 groups of 3 and 1 group of 4, making a total of 13 groups.

Answer: D
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