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greatest possible number of seniors

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greatest possible number of seniors

by uptowngirl92 » Sun Sep 06, 2009 4:29 pm
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
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by tohellandback » Sun Sep 06, 2009 6:44 pm
in one of the 4 subject we have 3/4 * 400=300 students
minimum in any subject is 20
to maximize the number of seniors in one of the other two subject, minimize one of them
so one of the other two has 20
remaining=80
B
The powers of two are bloody impolite!!
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by uptowngirl92 » Wed Sep 09, 2009 6:04 pm
Guys this is a princeton review free test question and the answer is 80.

If each of the 6 subjects has 20 seniors min and one of four has 3/4 then we have 300,20,20,20,20,20 split and no ans is correct

HELP!!
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by rish » Thu Sep 10, 2009 7:16 am
uptowngirl92 wrote:Guys this is a princeton review free test question and the answer is 80.

If each of the 6 subjects has 20 seniors min and one of four has 3/4 then we have 300,20,20,20,20,20 split and no ans is correct

HELP!!
Correct. None is the answer.

3/4th of 400 major in ONE subject.Therefore,100 seniors would have to major in the remaining 5 subjects.

Since the minimum for each subject is 20, 100 would be equally divided across those 5 subjects.

NOTE - If the question had stated that 3/4 of the seniors major in 4 subjects then the explanation giving by tohellandback is correct.
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possible number of seniors

by shankykm » Thu Sep 10, 2009 10:35 am
Correct the answer is B (80).

The question stem states that "three-quarters of the seniors major in one of four subjects", it means (3/4)*400= 300 students majored in one of four that means the total no. of students majored in 4 subjects is 300. In the remaining 2 subjects the combination of students majored could be anything that adds up to 100,say, (50, 50), (60, 40). But the question stem asked for "what is the greatest possible number of seniors majoring in one of the other two subjects", so the combination has to be(80, 20). Hence the maximum no. of students majored in one between the two subjects is 80 which is B because the minimum no. of students majored in each subject is 20.
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by uptowngirl92 » Fri Sep 11, 2009 2:50 pm
Indeed its a simple question..but the wording is very unclear here..Do you think questions with such ambiguous wordings appear on the Gmat?
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