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13 Apr 2022, 06:30
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Difficulty:
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Question Stats:
35% (01:47) correct
65%
(01:59)
wrong
based on 186
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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.
(1) 120 women live off-campus.
(2) There are half as many men at College X as there are students who live on-campus.
14 Apr 2022, 10:36
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Step 1: Analyse Question Stem
College X has 400 women. 200 students of this college live off-campus.
We need to find the number of students of college X.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: 120 women live off-campus.
Therefore, 80 men live off campus, since the question stem tells us that 200 students stay off-campus.
This is not sufficient to find out the number of students of college X since we do not have any information about the number of persons living on-campus.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: There are half as many men at College X as there are students who live on-campus.
Number of men at college X = ½ (Students who live on-campus)
We have no information about the number of women living off-campus and the number of students living on-campus.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: 120 women live off-campus, therefore, 80 men live off campus.
From statement 2: Number of men at college X = ½ (Students who live on-campus)
Also, the college has 400 women.
Therefore, of the 400 women, 280 women live on-campus.
If x is the number of men living on-campus, then,
(80 + x) = ½ (280 + x).
This equation can be solved for the value of x. Once the value of x is found, the total number of men can be calculated and hence we can find the number of students of college X.
The combination of statements is sufficient. Answer option E can be eliminated.
The correct answer option is C.
College X has 400 women. 200 students of this college live off-campus.
We need to find the number of students of college X.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: 120 women live off-campus.
Therefore, 80 men live off campus, since the question stem tells us that 200 students stay off-campus.
This is not sufficient to find out the number of students of college X since we do not have any information about the number of persons living on-campus.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: There are half as many men at College X as there are students who live on-campus.
Number of men at college X = ½ (Students who live on-campus)
We have no information about the number of women living off-campus and the number of students living on-campus.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: 120 women live off-campus, therefore, 80 men live off campus.
From statement 2: Number of men at college X = ½ (Students who live on-campus)
Also, the college has 400 women.
Therefore, of the 400 women, 280 women live on-campus.
If x is the number of men living on-campus, then,
(80 + x) = ½ (280 + x).
This equation can be solved for the value of x. Once the value of x is found, the total number of men can be calculated and hence we can find the number of students of college X.
The combination of statements is sufficient. Answer option E can be eliminated.
The correct answer option is C.
24 Apr 2022, 06:23
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Hi,
can someone help me here? I am failing to see why statement B alone is not sufficient.
Looking at the question stem, we are given the number of women and the number of people who live off campus, so to find the number of students, we either need the number of men or the number of people living on campus.
Statement 2 gives us a relation between both the number of men and the number of student living on campus, hence we can use that relation to calculate the total number of students. Please let me know where the flaw is in my approach.
Thx
can someone help me here? I am failing to see why statement B alone is not sufficient.
Looking at the question stem, we are given the number of women and the number of people who live off campus, so to find the number of students, we either need the number of men or the number of people living on campus.
Statement 2 gives us a relation between both the number of men and the number of student living on campus, hence we can use that relation to calculate the total number of students. Please let me know where the flaw is in my approach.
Thx
