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

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26 Apr 2008, 15:51

3

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00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

77% (00:55) correct 23% (00:48) wrong based on 223 sessions

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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.

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

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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%
_________________

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

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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 [ 70.77 KiB | Viewed 5582 times ]

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

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.

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.

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

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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

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

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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)!

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

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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

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

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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.