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Some of the students enrolled at college T are part-time

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Some of the students enrolled at college T are part-time [#permalink]

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New post 26 Apr 2008, 15:51
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Some of the students enrolled at college T are part-time students and the rest are full-time. By what percent did the number of full-time students enrolled at college T increase from fall of 1999 to the fall of 2000?

1) There were 50 more full-time students enrolled at college T in the fall of 2000 than in the fall of 1999.
2) The total number of students enrolled at college T increased by 5 percent from the fall of 1999 to the fall of 2000.
[Reveal] Spoiler: OA

Last edited by WoundedTiger on 21 Oct 2014, 22:11, edited 1 time in total.
OA added

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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 26 Apr 2008, 18:02
jimmyjamesdonkey wrote:
Some of the students enrolled at college T are part-time students and the rest are full-time. By what percent did the number of full-time students enrolled at college T increase from fall of 1999 to the fall of 2000?

1) There were 50 more full-time students enrolled at college T in the fall of 2000 than in the fall of 1999.
2) The total number of students enrolled at college T increased by 5 percent from the fall of 1999 to the fall of 2000.


B

this is C-trap
2.
Number of students enrolled at T in 1999 = (p+f) [p=part-time students and f=full-time students]
So, full-time students in 1999 = f

Number of students enrolled at T in 2000 = 1.05(p+f),
so full-time students in 2000 = 1.05*f

%increase of fulltime student = [1.05*f -f]/f = 5%
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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 26 Apr 2008, 19:44
jimmyjamesdonkey wrote:
incorrect.


:lol: :lol: :lol: :oops: :oops: :oops:

sondenso wrote:
Number of
students enrolled at T in 2000 = 1.05(p+f),
so full-time students in 2000 = 1.05*f


I think this is error reasoning!
Let wait for another response. I am a little confused
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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 26 Apr 2008, 21:51
There is no information about increase/decrease of part time students in either statement so my pick is E , let me know what is OA.

if you pick numbers lets say in 99

FullTime=700
partTime=300

in 2000

FullTime=750
partTime=300 (stays the same since 5% increase is all counted in Full Time students )

scenario 2

in 99
FullTime =1300
PartTime=700
in 2000
FullTime=1350
Partime=750

% increase of fulltime students gives different answer for both the scenarios and hence my answer is E

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Some of the students enrolled at college T are part-time [#permalink]

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New post 10 Sep 2011, 04:15
Some of the students enrolled at college T are part-time students and the rest are full-time. By what percent did the number of full-time students enrolled at college T increase from fall of 1999 to the fall of 2000?

1) There were 50 more full-time students enrolled at college T in the fall of 2000 than in the fall of 1999.
2) The total number of students enrolled at college T increased by 5 percent from the fall of 1999 to the fall of 2000.

Image:
Attachment:
GPrep_Full_time_students.jpg
GPrep_Full_time_students.jpg [ 70.77 KiB | Viewed 5582 times ]

Last edited by fluke on 10 Sep 2011, 23:43, edited 1 time in total.
OA corrected.

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Re: Gprep - Fulltime students!! [#permalink]

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New post 11 Sep 2011, 00:30
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vinayaerostar wrote:
Answer E


Answer should be E, and if you want to find the% increase of some thing then in that case we need to have to 2 data available.
1. Change( which is thr in 1 part)
2. original value or the value of fall 1999

so only one information is available so answer is E.

hope it helps

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Re: Gprep - Fulltime students!! [#permalink]

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New post 11 Sep 2011, 02:04
DeeptiM wrote:
Some of the students enrolled at college T are part-time students and the rest are full-time. By what percent did the number of full-time students enrolled at college T increase from fall of 1999 to the fall of 2000?

1) There were 50 more full-time students enrolled at college T in the fall of 2000 than in the fall of 1999.
2) The total number of students enrolled at college T increased by 5 percent from the fall of 1999 to the fall of 2000.


CASE 1:



Total StudentsFull-time studentsPart-time Students
Fall 19991001090
Fall 20001056045
% Change5% increase50 more students, a 500% increaseNot Required


CASE 2:



Total StudentsFull-time studentsPart-time Students
Fall 19991002575
Fall 20001057530
% Change5% increase50 more students, a 200% increaseNot Required


Not Sufficient.

Ans: "E"
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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 21 Oct 2014, 18:09
jimmyjamesdonkey wrote:
Some of the students enrolled at college T are part-time students and the rest are full-time. By what percent did the number of full-time students enrolled at college T increase from fall of 1999 to the fall of 2000?

1) There were 50 more full-time students enrolled at college T in the fall of 2000 than in the fall of 1999.
2) The total number of students enrolled at college T increased by 5 percent from the fall of 1999 to the fall of 2000.


(1)

insufficient

(2)
no differentiation between part-time and full-time students
insufficient

(together)
we still don't know anything about the # of part-time students, which is an essential contributor to the 5% increase mentioned in statement (2)
examples:
- if there are 0 part-time students in both years, then the # of full-time students has increased by 5%
- if the # of full-time students has increased from 0 to 50 but the # of part-time students has remained constant at 1000 (so that 50 is 5 percent of the enrollment), then the # of full-time students has grown by infinity%
...and anything in between

answer = E

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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 30 Sep 2016, 22:27
VeritasPrepKarishma, Bunuel, chetan2u
I did understood the solution and agree that answer should be E, but I also fall into trap of choosing B in the first go.
Could you please explain how to answer this question algebraically without taking numbers?
I am just not able to understand whats wrong with the approach of taking initial values to be X+Y and final values 1.05(X+Y)!

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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 08 Oct 2016, 01:53
Hello Moderators,
any update on this one?

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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 06 Feb 2017, 10:39
(1)
no indication of the size of the student body
insufficient

(2)
no differentiation between part-time and full-time students
insufficient

(together)
we still don't know anything about the # of part-time students, which is an essential contributor to the 5% increase mentioned in statement (2)
examples:
- if there are 0 part-time students in both years, then the # of full-time students has increased by 5%
- if the # of full-time students has increased from 0 to 50 but the # of part-time students has remained constant at 1000 (so that 50 is 5 percent of the enrollment), then the # of full-time students has grown by infinity%
...and anything in between

answer = e
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Re: Some of the students enrolled at college T are part-time [#permalink]

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New post 06 Sep 2017, 21:46
Sn: the new number of full time students.
So : the old number of full time students

The question is asking for Z as
Z = ( Sn - So) / So

1) There were 50 more full-time students enrolled at college T in the fall of 2000 than in the fall of 1999.

=> Sn - So = 50
We dont know So value so we cannot calculate Z.
Insuff.

2) The total number of students enrolled at college T increased by 5 percent from the fall of 1999 to the fall of 2000.

=> We have no clue whether an increase in the number of total student corellates with a rise in the number of full time students or not.
Insuff.
So E is the answer.

Posted from my mobile device

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Re: Some of the students enrolled at college T are part-time   [#permalink] 06 Sep 2017, 21:46
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