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# A class of 40 students is to be divided into smaller groups. If each

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Math Expert
Joined: 02 Sep 2009
Posts: 56275
A class of 40 students is to be divided into smaller groups. If each  [#permalink]

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07 Jan 2019, 09:37
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:55) correct 20% (01:33) wrong based on 47 sessions

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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

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Location: India
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Re: A class of 40 students is to be divided into smaller groups. If each  [#permalink]

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07 Jan 2019, 09:50
Bunuel wrote:
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

12 groups of 3 and 1 group of 4

total 13 max possible

IMO D
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Joined: 15 Feb 2018
Posts: 258
Re: A class of 40 students is to be divided into smaller groups. If each  [#permalink]

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26 Jan 2019, 21:08
How to solve this apart from trial and error working backwards with multiples of 3?
39+4 or 5 (x)
36+4 or 5 (o)

It's quick in this example, but wouldn't be good in tougher questions
Re: A class of 40 students is to be divided into smaller groups. If each   [#permalink] 26 Jan 2019, 21:08
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# A class of 40 students is to be divided into smaller groups. If each

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