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17 Feb 2015, 09:21
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C
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Difficulty:
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81% (02:08) correct
19%
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A certain business school has a student body of 2,000 students, 45% of whom are male. What percent of the students are international students?
(1) The number of male international students in the business school is twice the number of female students who are not international students.
(2) The number of male students who are not international students is twice the number of male students who are international students.
(1) The number of male international students in the business school is twice the number of female students who are not international students.
(2) The number of male students who are not international students is twice the number of male students who are international students.
Male students = 900
Female students = 1100
Total students = 2000
Question: International students x% of 2000.
(1) Not sufficient. Knowing that a certain number of male students who are international students is twice the number of female students who are not international does not help us to find x%. It could be that out of all 900 male students 400 are international, which would mean that there are 200 female students who are not international. But it could be that there 600 male international students and 300 not international female students.
(2) Not sufficient. That helps find the number of international male students and not international male students, 300 and 600 respectively. We still don't know how many international female students there are.
(1)+(2) Sufficient. From the statement (2) we find that there are 300 international male students and 600 not international male students. And from statement (1) we find that there are 150 not international female students and 950 international female students. 1250/2000=62.5%
Answer C
Female students = 1100
Total students = 2000
Question: International students x% of 2000.
(1) Not sufficient. Knowing that a certain number of male students who are international students is twice the number of female students who are not international does not help us to find x%. It could be that out of all 900 male students 400 are international, which would mean that there are 200 female students who are not international. But it could be that there 600 male international students and 300 not international female students.
(2) Not sufficient. That helps find the number of international male students and not international male students, 300 and 600 respectively. We still don't know how many international female students there are.
(1)+(2) Sufficient. From the statement (2) we find that there are 300 international male students and 600 not international male students. And from statement (1) we find that there are 150 not international female students and 950 international female students. 1250/2000=62.5%
Answer C
17 Feb 2015, 23:14
Kudos
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Bunuel
2000 total students. 45% i.e. 900 male so 1100 female. We need the total of International students.
Statement 1:
Make the table:
.......................Regular................International...........Total
Male...................................................2x......................900
Female..................x......................................................1100
Total...............................................................................
There is no way to know the total number of international students.
Statement 2:
.......................Regular................International...........Total
Male......................4x.............................2x....................900
Female..........................................................................1100
Total...............................................................................
We get that 6x = 900 so x = 150. But there is no way to know the number of female international students.
Both together:
.......................Regular................International...........Total
Male......................600.............................300....................900
Female...................150...............................y.......................1100
Total...............................................................................
Female international students = 1100 - 150 = 950 = y
Total number of international students = 300+950
We can find the desired % now.
Answer (C)
