It is currently 16 Feb 2019, 21:21
My Tests

Close

GMAT Club Daily Prep

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.

In a research and development department

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 597
Followers: 7

Kudos [?]: 525 [1] , given: 88

CAT Tests
In a research and development department [#permalink] New post 18 Jan 2018, 00:18
1
This post received
KUDOS
00:00

Question Stats:

50% (02:40) correct 50% (02:51) wrong based on 22 sessions
In a research and development department, 14 workers have a PhD, and 30 workers don't have a PhD degree. In the department, the number of women that do not have a PhD degree is 10 greater than the number of women who do have a PhD. If a third of the men working in the department have a PhD degree, then how many women work in the department?

A) 16
B) 18
C) 26
D) 28
E) 32
[Reveal] Spoiler: OA
1 KUDOS received
Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 597
Followers: 7

Kudos [?]: 525 [1] , given: 88

CAT Tests
Re: In a research and development department [#permalink] New post 18 Jan 2018, 20:41
1
This post received
KUDOS
let us suppose total number of men working in the department is m
and total number of women working in the department is w

Of the total women working in the department let us assume those that have a phd is A
hence those that do not have a phd = A+10

we are given 1/3 M have phd
hence 2/3 M do not have a phd

we have 1/3 M + A = 14 (those with phd).....i
and 2/3 M + A+10 = 30 >> 2/3 M + A = 20 (those without phd)...ii

subtracting eqn i from ii we get,
1/3 M = 6 hence, M = 18

Total number of people that work in the department = 44
Total number of Men that work in the department = 18
hence, total number of women working in the department = 44-18 = 26
(c)
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Manager
Manager
Joined: 02 Dec 2018
Posts: 74
Followers: 0

Kudos [?]: 7 [0], given: 60

Re: In a research and development department [#permalink] New post 16 Dec 2018, 21:03
amorphous wrote:
In a research and development department, 14 workers have a PhD, and 30 workers don't have a PhD degree. In the department, the number of women that do not have a PhD degree is 10 greater than the number of women who do have a PhD. If a third of the men working in the department have a PhD degree, then how many women work in the department?

A) 16
B) 18
C) 26
D) 28
E) 32


Let's use the double matrix method. We will use W for women, M for men, and T for total.

Total number who have PhDs is 14 so we put that in the bottom left. Total number with no PhD is 30 so bottom middle. Total of course should add to 44.

"In the department, the number of women that do not have a PhD degree is 10 greater than the number of women who do have a PhD," thus, we will denote number of women with PhD as X and # of women with no PhD as 10+x.

"If a third of the men working in the department have a PhD degree," so we will denote total number of men with y, then we should put y/3 accordingly for men with PhDs, which leaves 2y/3 for men without phDs.



| PhD | No PhD | T
W | x | 10+x | 2x+ 10
M | y/3 | 2/3y | y
T | 14 | 30 | 44

Now we have a system of linear equations that we need to solve.

x+ 2/3 y = 20
x + y/3 = 14

Upon solving, we get y/3 = 6. We don't need to simplify that, go ahead and plug that in the table.

| PhD | No PhD | T
W | x | 10+x | 2x+ 10
M | 6 | 2/3y | y
T | 14 | 30 | 44

Thus, x = 8.

Then the total number of women is 8 + 18 = 26.

C
Manager
Manager
User avatar
Joined: 01 Nov 2018
Posts: 82
Followers: 0

Kudos [?]: 36 [0], given: 20

Re: In a research and development department [#permalink] New post 19 Dec 2018, 23:40
Expert's post
How about this
Women with PHD =Wp
Women without PHD is Wp+10
That means total women is Wp+Wp+10=2Wp+10
Men with PHD=M/3
Total Men is M

Men+Women=44
M+2Wp+10=44

M=34-2Wp, so we have a substitution for Women to men
Then lets look at the PHD's
M/3 + Wp = 14
(34-2Wp)/3+ Wp = 14

(34-2wp +3Wp)/3= 14
34+Wp=42
Wp=8
Wp+10=18
Total women = 2Wp+10= 26

The choice is C
Re: In a research and development department   [#permalink] 19 Dec 2018, 23:40
Display posts from previous: Sort by

In a research and development department

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.