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A certain college has a total of 400 seniors, each majoring

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A certain college has a total of 400 seniors, each majoring [#permalink] New post 08 Nov 2004, 20:30
A certain college has a total of 400 seniors, each majoring in exactly one of six subjects. A minimum of 20 seniors major in each of the six subjects. If three-quarters 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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 [#permalink] New post 08 Nov 2004, 20:36
There's a lot of verbiage here. I believe it's B) 80
There is 100 remaining for other 2 topics. 20 min to 1 of them. The max the other can have is 80.
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 [#permalink] New post 08 Nov 2004, 20:39
I can't get the meaning

Quote:
400 seniors, each majoring in exactly one of six subjects


Quote:
A minimum of 20 seniors major in each of the six subjects


Can somebody explain :!: [/quote]
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 [#permalink] New post 08 Nov 2004, 20:41
Let's say you have 6 subjects {A,B,C,D,E,F}
First four subjects, you have 3/4 of 400. So 300 people goes to those first four subjects. For remaining E and F, you have 100 left. Since you need a minimum per subject, if E is 20, F can have a max value of 80 and vice versa
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 [#permalink] New post 08 Nov 2004, 20:50
Got it... Thanks Paul

Looks simple, but IF you understand the meaning :punk
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 [#permalink] New post 09 Nov 2004, 05:35
Paul and Venksune, you are rt the answer is 80.

The wordiness of the problem got me confused :-(
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 [#permalink] New post 13 Nov 2004, 09:41
yeap it is 80

400 - (3/4 * 400) -20 = 80
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 [#permalink] New post 14 Nov 2004, 07:47
The OA is 80.

Thanks!
  [#permalink] 14 Nov 2004, 07:47
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A certain college has a total of 400 seniors, each majoring

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