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If 2/5 of the students at College C are business majors, wha
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09 Jul 2012, 02:43
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If 2/5 of the students at College C are business majors, what is the number of female students at College C? (1) 2/5 of the male students at College C are business majors. (2) 200 of the female students at College C are business majors.
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Re: If 2/5 of the students at College C are business majors, wha
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09 Jul 2012, 03:02



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Re: If 2/5 of the students at College C are business majors, wha
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09 Jul 2012, 03:09
C it is.
Given: 2/5 students Business majors
1. 2/5 BM = Male . =>3/5 of BM Female. Insuff 2. BM Female = 300
c combine the two 300=(2/5)(3/5) Students



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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 07:07
Bunuel wrote: If 2/5 of the students at College C are business majors, what is the number of female students at College C?
Given: 2/5(Female+Male)=Business Majors. Question: Female=?
(1) 2/5 of the male students at College C are business majors > 2/5*M=Male Business Majors. Not sufficient.
(2) 200 of the female students at College C are business majors > Female Business Majors=200. Not sufficient.
(1)+(2) {Business Majors}={Male Business Majors}+{Female Business Majors} > 2/5(F+M)=2/5*M+200 > 2/5*F=200 > F=500. Sufficient.
Answer: C. Based on what you put for (2), (2/5)(Females) = 200, therefore Females = (5/2)(200) = 500. Why bother tangling it with the males? We already know from the question that (2/5)(Males + Females) = business majors and statement 1 is just a repeat of what is given.



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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 07:20
Injuin wrote: Bunuel wrote: If 2/5 of the students at College C are business majors, what is the number of female students at College C?
Given: 2/5(Female+Male)=Business Majors. Question: Female=?
(1) 2/5 of the male students at College C are business majors > 2/5*M=Male Business Majors. Not sufficient.
(2) 200 of the female students at College C are business majors > Female Business Majors=200. Not sufficient.
(1)+(2) {Business Majors}={Male Business Majors}+{Female Business Majors} > 2/5(F+M)=2/5*M+200 > 2/5*F=200 > F=500. Sufficient.
Answer: C. Based on what you put for (2), (2/5)(Females) = 200, therefore Females = (5/2)(200) = 500. Why bother tangling it with the males? We already know from the question that (2/5)(Males + Females) = business majors and statement 1 is just a repeat of what is given. There was a typo. From (2): 200 of the female students at College C are business majors > Female Business Majors=200. Not (2/5)(Females) = 200.
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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 07:28
I hope you will be patient with me since it's been a long morning, but here is my reasoning, even after sifting through the various related threads:
We are given that 2/5 of the students are business majors so (2/5)(Males+Females) = Business majors. Expanded, we have Business majors = (2/5)(Males)+(2/5)(Females) = Business majors. Therefore 2/5 males are business majors and 2/5 females are business majors.
Statement 1 just repeats that (2/5)(Males) are business majors
Statement 2 says that 200 females are business majors. We can equate that (2/5)(Females) = 200 from the expanded information provided and have the final form be Females = (5/2)(200) = 500.
For the life of me I cannot see how statement 2 is insufficient unless I am confused about how the information they gave us is constructed as stated.



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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 07:40
Injuin wrote: I hope you will be patient with me since it's been a long morning, but here is my reasoning, even after sifting through the various related threads:
We are given that 2/5 of the students are business majors so (2/5)(Males+Females) = Business majors. Expanded, we have Business majors = (2/5)(Males)+(2/5)(Females) = Business majors. Therefore 2/5 males are business majors and 2/5 females are business majors.
Statement 1 just repeats that (2/5)(Males) are business majors
Statement 2 says that 200 females are business majors. We can equate that (2/5)(Females) = 200 from the expanded information provided and have the final form be Females = (5/2)(200) = 500.
For the life of me I cannot see how statement 2 is insufficient unless I am confused about how the information they gave us is constructed as stated. The red part is not correct. 2/5 (40%) of the students are business majors does not mean that 40% of males and 40% of females are business majors. For example: say there are 300 males and 200 females (total of 500 students), then there will be 2/5*500=200 business majors. So, it could be that 100% of females and 0% of males are business majors. Hope it's clear.
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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 07:55
I can see how that situation will make what I said incorrect, but then I do not know how I would setup a question like this in the future. I was under the impression that students = males + females. Therefore if 2/5 students are business majors, then 2/5 (males + females) are business majors. What rule did I violate to cause me to tunnel vision into thinking that the aforementioned equation could be expanded into (2/5)(males) + (2/5)(females)?



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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 07:58



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Re: If 2/5 of the students at College C are business majors, wha
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10 Jul 2012, 08:01
Ah, I ended up thinking of variables as words. Thank you for the clarification.



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Re: If 2/5 of the students at College C are business majors, wha
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11 Feb 2017, 22:21
Assume male students =X Female students = y total Biz majors = (2/5)(X+y) nonBiz majors =(1 2/5)(X+Y) = (3/5)(x+y) statement 1: 2/5 of males students are business majors ..which means 3/5 of male students are nonbusiness majors = 3X/5 nonbiz females=(3/5)(X+Y)3X/5=(3/5)Y no information on actual number of students not sufficient statement 2: 200 female students are business majors. no information on nonbiz majors female students not sufficient statement 1&2: 3/5 of male students are nonbiz majors and 200 female students are biz majors nonbiz females= (3/5)Y biz females = Y(3/5)Y=(2/5)Y (2/5)Y=200 =>Y=500 thus females are 500 sufficient Hence C
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Re: If 2/5 of the students at College C are business majors, wha
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