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# A certain teacher has a total of at least 110 students enrolled in her

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Math Expert
Joined: 02 Sep 2009
Posts: 61287
A certain teacher has a total of at least 110 students enrolled in her  [#permalink]

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08 Mar 2019, 01:54
00:00

Difficulty:

55% (hard)

Question Stats:

30% (01:55) correct 70% (01:18) wrong based on 20 sessions

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A certain teacher has a total of at least 110 students enrolled in her classes. If the teachers has an average (arithmetic mean) of exactly 27 students enrolled per class, what is the least possible number of classes that the teacher could have?

A. 3
B. 4
C. 5
D. 6
E. 7

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A certain teacher has a total of at least 110 students enrolled in her  [#permalink]

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08 Mar 2019, 03:16
Bunuel wrote:
A certain teacher has a total of at least 110 students enrolled in her classes. If the teachers has an average (arithmetic mean) of exactly 27 students enrolled per class, what is the least possible number of classes that the teacher could have?

A. 3
B. 4
C. 5
D. 6
E. 7

total /no of classes = avg
110 = 27*avg
avg = 4
IMO B
Bunuel is the answer given correct?
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Joined: 27 May 2012
Posts: 952
Re: A certain teacher has a total of at least 110 students enrolled in her  [#permalink]

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02 May 2019, 05:38
Bunuel wrote:
A certain teacher has a total of at least 110 students enrolled in her classes. If the teachers has an average (arithmetic mean) of exactly 27 students enrolled per class, what is the least possible number of classes that the teacher could have?

A. 3
B. 4
C. 5
D. 6
E. 7

How is the Answer B , shouldn't it be C
At least 110 students
average of exactly 27 per class
so the number of classes has to be more than 4
if there are 4 classes then 27*4=108 , this does not fill the least number of students criteria. We are running short of students.

There should be at least 5 classes .Then 27*5 =135
IMO C
P.S. Please let me know if I have missed anything.Thanks.
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Re: A certain teacher has a total of at least 110 students enrolled in her   [#permalink] 02 May 2019, 05:38
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