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21 Jun 2019, 00:03
Kudos
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B
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Difficulty:
35%
(medium)
Question Stats:
71% (01:32) correct
29%
(02:15)
wrong
based on 97
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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
A. 100
B. 80
C. 75
D. 60
E. 50
21 Jun 2019, 00:14
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Bunuel
Total 400; 3/4 majoring in one of 4 subjects = 300;
So 2 subjects put together is 100,
Minimum 20 in each so one can have a Max of 80 seniors Option (B)
21 Jun 2019, 05:19
Kudos
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Bunuel
Total Seniors = 400
three quarter of the seniors major in one of four subjects
--> 3/4*400 = 300 seniors are in one of the 4 subjects
Let the remaining subjects be x and y {x - Max, y -Min}
--> x + y = 100
A minimum of 20 seniors major in each six subjects
--> y = 20
--> x = 80
IMO Option B
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