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# If there are 400 women at College X and 200 students live

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Senior Manager
Joined: 05 Feb 2004
Posts: 290
Location: USA
If there are 400 women at College X and 200 students live [#permalink]

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24 Aug 2004, 08:55
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If there are 400 women at College X and 200 students live off-campus, how many students does College X have?

(1) 120 women live off-campus.

(2) There are half as many men at College X as there are students who live on-campus.
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24 Aug 2004, 09:06
E

Problem gives information about total no. of women students and no. of off-campus students.

(1) We can find out no. women who live on-campus
Insufficient to find the total students

(2) Insufficient. We don't know the number of on-campus students.

Both together doesn't help
Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus

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24 Aug 2004, 09:07
that was me.

E

Problem gives information about total no. of women students and no. of off-campus students.

(1) We can find out no. women who live on-campus
Insufficient to find the total students

(2) Insufficient. We don't know the number of on-campus students.

Both together doesn't help
Senior Manager
Joined: 19 May 2004
Posts: 291

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24 Aug 2004, 09:09
B ?

Let the total number of students be T.
Number of men: T-400,
Students who live on campus : T-200

Statement 1 : Insufficient. Or so it seems.

Statement 2 : (T-400)=(1/2)*(T-200) Sufficient. T=600.
Senior Manager
Joined: 05 May 2003
Posts: 424
Location: Aus

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24 Aug 2004, 09:11
Dookie wrote:
B ?

Let the total number of students be T.
Number of men: T-400,
Students who live on campus : T-200

Statement 1 : Insufficient. Or so it seems.

Statement 2 : (T-400)=(1/2)*(T-200) Sufficient. T=600.

Good catch. B should be the answer. I missed to see the link.
Manager
Joined: 18 Jun 2004
Posts: 103
Location: san jose , CA

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25 Aug 2004, 10:34
I got answer as E .

I think E is the answer it the second statement is

(2) There are half as many men at College X as there are students who live on-campus

the answer will be B if the 2 statement is

(2) There are half as many men at College X as there are students who live off - campus

Hi Dookie ,
In your equation you took 200 , 200 - live off campus but (2) says live on campus , we have no data regarding live on campus.
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Senior Manager
Joined: 23 Sep 2003
Posts: 293
Location: US

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25 Aug 2004, 10:48
Rahul,

You can either live on or off campus. Those are the only 2 logical choices. Since we know that 200 students live off campus, it must mean that T - 200 is the number of students on campus.
CIO
Joined: 09 Mar 2003
Posts: 463

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25 Aug 2004, 10:58
rahul wrote:
I got answer as E .

I think E is the answer it the second statement is

(2) There are half as many men at College X as there are students who live on-campus

the answer will be B if the 2 statement is

(2) There are half as many men at College X as there are students who live off - campus

Hi Dookie ,
In your equation you took 200 , 200 - live off campus but (2) says live on campus , we have no data regarding live on campus.

By writing T-200, he is looking at the on campus people, because the T is the total, and the 200 is the off campus people, leaving T-200 on campus.

I did it a bit differently. I don't like minuses, so much, so I said x was the number of people on campus, and got:

.5x + 400 = x + 200

The left side is the number of students when adding up men and women, and the right side is the number of students when adding up on campus and off campus.

Since x can be solved, B is enough.
Senior Manager
Joined: 19 May 2004
Posts: 291

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25 Aug 2004, 10:59
Just as Makky07 explained it.
I hope it's clearer now.
25 Aug 2004, 10:59
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# If there are 400 women at College X and 200 students live

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