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06 Sep 2009, 17:29
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
0% (00:00) correct
100%
(00:56)
wrong
based on 7
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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?
100
80
75
60
50
100
80
75
60
50
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07 Sep 2009, 01:52
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I get 60. OA?
Condition 1: 3/4 of 400 are in one subject => 300 are in one sub ..thus we have 100 left
Condition 2: Each subject has min 20 seniors => the remaining 100 are to be divided into 3 subjects such that each has min 20 => 20*3=60...so a total of 360 are allocated.
Now, one of the three subjects should be max so that subject can have 20 + (400-360) = 60.
Condition 1: 3/4 of 400 are in one subject => 300 are in one sub ..thus we have 100 left
Condition 2: Each subject has min 20 seniors => the remaining 100 are to be divided into 3 subjects such that each has min 20 => 20*3=60...so a total of 360 are allocated.
Now, one of the three subjects should be max so that subject can have 20 + (400-360) = 60.
07 Sep 2009, 03:04
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80.
Solving method is same as economist's method. 4 of them got 300 seniors. Remaining two got 100. 1 must be at least 20, so the other can be at most 80.
Solving method is same as economist's method. 4 of them got 300 seniors. Remaining two got 100. 1 must be at least 20, so the other can be at most 80.
BTW question says "If three-quarters of the seniors major 
