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A certain collage has total of 400 seniors each majoring in exactly on

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A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

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New post 03 Sep 2010, 03:31
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (02:07) correct 33% (02:29) wrong based on 87 sessions

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A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?

A. 100
B. 80
C. 75
D. 60
E. 50
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Schools: Wharton/Lauder - Class of 2013
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Re: A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

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New post 03 Sep 2010, 03:44
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Answer is B.

Six majors are as follows: a + b + c + d + e + f
Each has at least 20 seniors: 20 + 20 + 20 + 20 + 20 + 20

4 of the majors have 300 seniors: a + b + c +d = 300
There are a total of 400 seniors.

So e + f = 100. One of the subjects has to be 20 for the other to be maximized. If e = 20, then f = 80.
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Re: A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

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New post 10 Oct 2010, 23:56
B

400 = 300 + 20 + x => x = 80
= 3/4 * 400 in 4 subjects + 20 min for 5th subject + x = 400
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Re: A certain collage has total of 400 seniors each majoring in exactly on  [#permalink]

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Re: A certain collage has total of 400 seniors each majoring in exactly on &nbs [#permalink] 17 Mar 2018, 04:57
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