Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A college has two departments, finance dept. and accounting [#permalink]
23 Nov 2005, 18:51

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

A college has two departments, finance dept. and accounting dept. The ratio of the teachers in two dept. is 2:1. What is the ratio of the number of teachers doing a part-time job to the number of the teachers not doing?

1) 1/2 of the teachers in accounting dept. do part-time jobs.
2) The ratio of the teachers doing part-time jobs in two departments is 3:4

A college has two departments, finance dept. and accounting dept. The ratio of the teachers in two dept. is 2:1. What is the ratio of the number of teachers doing a part-time job to the number of the teachers not doing?

1) 1/2 of the teachers in accounting dept. do part-time jobs. 2) The ratio of the teachers doing part-time jobs in two departments is 3:4

1) we don't know the number of teachers not/do the part-time jobs --> insuff

2). The ratio of the teachers doing part-time jobs in two departments is 3:4---> we don't know the order of this ratio --> insuff anyway

1and 2: as we don't know the order of the ratio -->insuff

I don't know if the question assume the ratio is of finance to accounting or not

Note:
1) If order is assumed in Statement (2), this is the working:

Using (1), we do not know how many part time teachers in finance dept. (1) is not sufficient.
Using (2), we have:

# of teachers = x
# of finance teachers = 2x/3
# of accounting teachers = x/3
# of part time finance teachers = 3x/7
$ of part time accounting teachers = 4x/7

We can now compute ratio of full time: part time teachers.

(2) is sufficient.

Ans: B

However, if order cannot be assumed, then the answer is D.

A college has two departments, finance dept. and accounting dept. The ratio of the teachers in two dept. is 2:1. What is the ratio of the number of teachers doing a part-time job to the number of the teachers not doing?

1) 1/2 of the teachers in accounting dept. do part-time jobs.
2) The ratio of the teachers doing part-time jobs in two departments is 3:4

1) -- We don't know how many part-time teachers are there in Finance dept..--> Insuff

2) Assuming the ratio 3:4 is finance : accounting respectively, then I go with B, 2 alone is Sufficient

If this question comes in the real exam the same way as it appears here, I would pick E. may be this is one of the GMAT Traps.

if the number of teachers is 48 ,for example, how will you go around with B only?

ywilfred wrote:

Note: 1) If order is assumed in Statement (2), this is the working:

Using (1), we do not know how many part time teachers in finance dept. (1) is not sufficient. Using (2), we have:

# of teachers = x # of finance teachers = 2x/3 # of accounting teachers = x/3 # of part time finance teachers = 3x/7 $ of part time accounting teachers = 4x/7

We can now compute ratio of full time: part time teachers.

(2) is sufficient.

Ans: B

However, if order cannot be assumed, then the answer is D.

Here I go
F is finance, A is accounting. 1 is permanent teachers and 2 is part-time teachers. So given is

F1+F2 : A1+A2 = 2:1

1) A1:A2 = 1:1
So F1+F2 : A + A = 2:1 there is no information about F2 so we can not find F2 + A2 : F1+ A1. INSUFF
2) F2: A2 = 3:4. By this we can not find the sum F2 + A2 or F1 + A1. INSUFF

Both combined

A1:A2 = 2:1 and F2:A2 = 3:4
Now assume total = x
From given F:A = 2x/3 : x/3

From 1 A1 = x/6 and A2 = x/6

From 2 F2 = (x/6)* (3/4) = x/8. So F1 = (2x/3) - x/8 = 13x/24