Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Jul 2016, 19:56
GMAT Club 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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Each employee of a certain task force is either a manager or

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

6 KUDOS received
Manager
Manager
avatar
Joined: 30 Apr 2010
Posts: 77
Followers: 1

Kudos [?]: 51 [6] , given: 1

Each employee of a certain task force is either a manager or [#permalink]

Show Tags

New post 18 May 2010, 08:01
6
This post received
KUDOS
42
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

58% (02:08) correct 42% (01:23) wrong based on 709 sessions

HideShow timer Statistics

Each employee of a certain task force is either a manager or a director. What percent of the employees on the task force are directors?

(1) the average (arithmetic mean) salary of the managers on the task force is 5000 less than the average salary of all the employees on the task force.
(2) the average (arithmetic mean) salary of the directors on the task force is 15000 greater than the average salary of all the employees on the task force.
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Nov 2013, 01:13, edited 2 times in total.
OA added.
Expert Post
26 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34029
Followers: 6081

Kudos [?]: 76349 [26] , given: 9973

Re: Each employee.. [#permalink]

Show Tags

New post 18 May 2010, 08:21
26
This post received
KUDOS
Expert's post
13
This post was
BOOKMARKED
achan wrote:
Each employee of a certain task force is either a manager or a director. What percent of the employees on the task force are directors?
1) the average ( Arithemetic mean) salary of the managers on the task force is 5000 less than the average salary of all the employees on the task force.
2) the average ( Arithemetic mean) salary of the directors on the task force is 15000 greater than the average salary of all the employees on the task force.


\(S_a\) - Average salary of all employees
\(S_m\) - Average salary for manager
\(S_d\) - Average salary of directors
\(d\) - # of directors;
\(m\) - # of managers.
Question \(\frac{d}{m+d}=?\)

(1) \(S_m=S_a-5000\) --> Not sufficient to calculate ratio.
(2) \(S_d=S_a+15000\) --> Not sufficient to calculate ratio.

(1)+(2) \(S_a=\frac{S_m*m+S_d*d}{d+m}\) --> substitute \(S_m\) and \(S_d\) --> \(S_a=\frac{(S_a-5000)*m+(S_a+15000)*d}{d+m}\) --> \(S_a*d+S_a*m=S_a*m-5000*m+S_a*d+15000*d\) --> \(S_a*d\) and \(S_a*m\) cancel out --> \(m=3d\) --> \(\frac{d}{m+d}=\frac{d}{3d+d}=\frac{1}{4}\). Sufficient.

Answer: C.

Or for (1)+(2): if we say that the fraction of the directors is \(x\) (\(x=\frac{d}{d+m}\)) then the fraction of the managers will be \((1-x)\) (\(1-x=\frac{m}{d+m}\)) --> \(S_a=x(S_a+15000)+(1-x)(S_a-5000)\) --> \(S_a=x*S_a+15000x+S_a-5000-x*S_a+5000x\) --> \(x=\frac{1}{4}\).
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

9 KUDOS received
Kaplan GMAT Instructor
User avatar
Joined: 21 Jun 2010
Posts: 75
Location: Toronto
Followers: 26

Kudos [?]: 147 [9] , given: 2

Re: NEED HELP - 2 DATA SUFFICIENCY PROBLEMS [#permalink]

Show Tags

New post 04 Jul 2010, 00:46
9
This post received
KUDOS
1
This post was
BOOKMARKED
[quote2raulmaldonadomtz]I don't understand how can you get the number of employees from an average salary. Can someone explain this problem. For me neither of the 2 statements answer the question.[/quote2]

We can't get the number. We can get the ratio of director to total though.

This is a weighted average problem. From (1) and (2) together, we know that the managers are 5,000 smaller than the grand average, and that the directors are 15,000 greater than the grand average, or:

5000----grand average-------------15000
(mgrs)----------------------------(dirctrs)

The managers are way closer to the grand average than are the directors. So, there must be way more managers than directors. In fact, there are 15000/5000 or 3 times as many managers as directors. So, the manager to director ratio is 3:1. Thus, the director to total ratio is 1:4, or 25%.

I discuss weighted average strategy in more detail here: mixtures-96284.html

(For question 2, whiplash's explanation was simply superb).
8 KUDOS received
Ms. Big Fat Panda
Ms. Big Fat Panda
User avatar
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1922
Concentration: General Management, Nonprofit
Followers: 432

Kudos [?]: 1865 [8] , given: 210

GMAT ToolKit User
Re: NEED HELP - 2 DATA SUFFICIENCY PROBLEMS [#permalink]

Show Tags

New post 03 Jul 2010, 22:54
8
This post received
KUDOS
3
This post was
BOOKMARKED
Question 1:

Okay, let us assume the number of managers are M and the number of directors are D. So the total number of employees = M +D

Average Salary of Manager = x
Average Salary of Director = y

So, we have: Total salary of all employees = Mx + Dy
Average salary of employee = Total salary/Total employees = \(\frac{Mx+Dy}{M+D}\)

Statement 1:

Average salary of manager = Average salary of employee - 5000

\(x = \frac{Mx+Dy}{M+D} - 5000\)

Cross multiplying to the other side we get:

\(x(M+D) = Mx + Dy - 5000\)

Cancelling Mx on both sides and rearranging like terms together we get:

\(D(y-x) = 5000\) - (1)

However, this doesn't say anything specific to us. So we move on to the second statement.

Statement 1:

Average salary of director = Average salary of employee + 15000

\(y = \frac{Mx+Dy}{M+D} + 15000\)

Cross multiplying to the other side we get:

\(y(M+D) = Mx + Dy + 15000\)

Cancelling Mx on both sides and rearranging like terms together we get:

\(M(y-x) = 15000\) - (2)

This doesn't say anything by itself either. But when we put the results of the two statements [(1) and (2)] together, we get:

\(D(y-x) = 5000\)
\(M(y-x) = 15000\)

Dividing statement 1 by 2 we get

\(\frac{D}{M} = \frac{5000}{15000} = \frac{1}{3}\)

M = 3D

Total = M+D = 4D

From here, we can say percentage of directors = \(\frac{D}{4D}*100 = 25%\).

Hence answer is C.
4 KUDOS received
Current Student
User avatar
Joined: 28 Apr 2012
Posts: 311
Location: India
Concentration: Finance, Technology
GMAT 1: 650 Q48 V31
GMAT 2: 770 Q50 V47
WE: Information Technology (Computer Software)
Followers: 22

Kudos [?]: 342 [4] , given: 142

Re: Each employee of a certain task force is either a manager or [#permalink]

Show Tags

New post 26 Aug 2012, 06:35
4
This post received
KUDOS
2
This post was
BOOKMARKED
This can be solved in allegations method.
The ratio of the components is inverse of the ratio of their differences from the average.

#Managers:#Directors = Difference between salary between combined avg and directors : Difference between salary between combined avg and managers

M:D = 15000:500 = 3:1

D:M = 1:3

D:(M+D) = 1: (1+3) = 1:4

this way you can solve under 30 secs.
_________________

"Appreciation is a wonderful thing. It makes what is excellent in others belong to us as well."
― Voltaire


Press Kudos, if I have helped.
Thanks!

Expert Post
3 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 2627
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 103

Kudos [?]: 1155 [3] , given: 783

GMAT ToolKit User Premium Member Reviews Badge
Each employee of a certain task force is either a manager or [#permalink]

Show Tags

New post 20 Oct 2015, 04:40
3
This post received
KUDOS
Expert's post
kumarpritam wrote:
Each employee on a certain task force is either a manager or director. What percent of the employees on the task force are director?
1. The average (Arithmetic Mean) salary of the mangers on the task force is $5,000 less than the average salary of all employees on the task force.
2. The average (Arithmetic Mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.


Please follow posting guidelines (link in my signatures). Make sure to select PS or DS forums for your questions. Do not use general GMAT or other forums. Make sure to type in the correct topic title as per the guidelines and include the OA and 3 tags 1 each for source,difficulty and sub topic.

Finally, search for a question before posting as the same question might have been discussed before. This question has already been discussed before. Refer above for the solution.

Topics merged. Thank you EMPOWERgmatRichC and VeritasPrepKarishma

_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-in-downloadable-pdf-format-130609.html
Everything Related to Inequalities: http://gmatclub.com/forum/inequalities-made-easy-206653.html#p1582891
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

2 KUDOS received
Retired Moderator
User avatar
Joined: 02 Sep 2010
Posts: 805
Location: London
Followers: 99

Kudos [?]: 828 [2] , given: 25

GMAT ToolKit User Reviews Badge
Re: Percentage of salary of directors. [#permalink]

Show Tags

New post 06 Jan 2011, 00:37
2
This post received
KUDOS
shan123 wrote:
In a work force, the employees are either managers or directors. What is the percentage of directors?
(1) The average salary for manager is $5,000 less than the total average salary.
(2) The average salary for directors is $15,000 more than the total average salary.


(1) : Tells us nothing about how many directors or managers
(2) : Again tells us nothing about how many

(1+2) : Say average salary is x and there be m fraction of managers and hence (1-m) directors

m(x-5000) + (1-m)(x+15000) = x
mx - 5000m + x + 15000 -mx - 15000m = x
15000 - 20000m = 0
m = (3/4)
Hence fraction of directors = (1/4)

Sufficient !
Answer is (c)
_________________

Math write-ups
1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry

My GMAT story

GMAT Club Premium Membership - big benefits and savings

2 KUDOS received
Manager
Manager
avatar
Joined: 20 Aug 2011
Posts: 146
Followers: 3

Kudos [?]: 87 [2] , given: 0

Re: Statistics [#permalink]

Show Tags

New post 10 Jan 2012, 02:26
2
This post received
KUDOS
2
This post was
BOOKMARKED
Supergmatgirl wrote:
Can you please elaborate?


One has to understand the concept of weighted averages pretty well to understand my solution.

The point of a weighted average is to know how much weight to give these two individual groups, the managers and the directors.

Statement 1 tells how the managers' salaries relate to employee average but there is no information about how the directors' salaries relate to the employee average.
Insufficient
Eliminate A & D

Statement 2 tells how the directors' salaries relate to employee average but there is no information about how the managers' salaries relate to the employee average.
Insufficient
Eliminate B

Statements 1 and 2 together:
The manager average is 5000 less than the combined average. The director average is 15000 greater than the combined average. The difference between the manager average and the director average is 20000.

If there were an equal number of managers and directors they would each be 10000 off of the combined average - that would be a 50/50 weighting.
But the combined average is closer to the manager average, so there are more managers than directors. Use the above three numbers to know how much: the difference is 20000, and the combined average is three-quarters of the way towards the manager average.

Hence, 3/4 of the employees are managers & 1/4 are directors.
Sufficient.

Hence C.
_________________

Hit kudos if my post helps you.
You may send me a PM if you have any doubts about my solution or GMAT problems in general.

2 KUDOS received
SDA Bocconi Thread Master
avatar
Joined: 27 Dec 2012
Posts: 39
Location: India
Concentration: Technology, Entrepreneurship
GMAT 1: 660 Q48 V33
GMAT 2: 730 Q49 V40
WE: Engineering (Energy and Utilities)
Followers: 1

Kudos [?]: 17 [2] , given: 34

Premium Member
Re: DS Weighted Average [#permalink]

Show Tags

New post 17 Jan 2013, 02:07
2
This post received
KUDOS
Let T be the total average salary.
M be the no of Managers
D be no of Directors.

1st Statement: Aveg salary of Managers is T-5000.
2nd Statement: Avg salary of Directors is T+15000

1st things first. None of the statements provide sufficient information when taken one at a time. So the answer is either C or E
Combine two statements and you get one equation:

(T-5000)*M + (T+15000)*D = T*(M+D)
(Average Salary of M * no of Managers + Average salary of D* no of directors = Total Average Salary T * (M+D)

solving this we get M=3D

So ratio of Directors = D/(D+M) = D/(D + 3D) = 1/4 = 0.25

Hence 25%. So the answer is C

DJ
1 KUDOS received
Manager
Manager
User avatar
Joined: 29 Jul 2011
Posts: 107
Location: United States
Followers: 5

Kudos [?]: 49 [1] , given: 6

Re: Statistics [#permalink]

Show Tags

New post 08 Jan 2012, 18:03
1
This post received
KUDOS
Good one.

To solve it under 2 minutes, I had to guess this one as C. You are provided two relationships: managers-all and directors-all. That should be likely enough to determine the number of managers and directors as note that the differences in average numbers are specific to the number of managers and directors.

To calculate, you can solve two equations such as:
1. Sm/m = (Sm+Sd)/(m+d) - 5000.
2. Sd/d = (Sm+Sd)/(m+d) + 15000.

You need to solve for d/m+d.
_________________

I am the master of my fate. I am the captain of my soul.
Please consider giving +1 Kudos if deserved!

DS - If negative answer only, still sufficient. No need to find exact solution.
PS - Always look at the answers first
CR - Read the question stem first, hunt for conclusion
SC - Meaning first, Grammar second
RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min

1 KUDOS received
Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 90

Kudos [?]: 804 [1] , given: 43

Re: Each employee of a certain task force is either a manager or [#permalink]

Show Tags

New post 26 Aug 2012, 08:56
1
This post received
KUDOS
achan wrote:
Each employee of a certain task force is either a manager or a director. What percent of the employees on the task force are directors?

(1) the average ( Arithemetic mean) salary of the managers on the task force is 5000 less than the average salary of all the employees on the task force.
(2) the average ( Arithemetic mean) salary of the directors on the task force is 15000 greater than the average salary of all the employees on the task force.


This is a question involving weighted average.
Having two quantities \(Q_1\) and \(Q_2\) with averages \(a_1\) and \(a_2\) respectively, if the combined average is \(a\), and let assume that \(a_1>a>a_2,\) then we can write:

\(\frac{a_1Q_1+a_2Q_2}{Q_1+Q_2}=a\) from which \(a_1Q_1+a_2Q_2=aQ_1+aQ_2\) or \((a_1-a)Q_1=(a-a_2)Q_2,\) which means that the distances from the combined average are inversely proportional to the quantities.
This equality we can also be written as \(\frac{a_1-a}{a-a_2}=\frac{Q_2}{Q_1}.\)

To answer the question it is enough to know the ratio between the two types of employees.
In our case we have a certain number of managers \(Q_1\) and a certain number of directors \(Q_2.\)
From the above, if we know the two differences between the combined average (average salary of all employees) and each type of average, then in fact we have the ratio between \(Q_1\) and \(Q_2.\)
Sufficient

Answer C
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6736
Location: Pune, India
Followers: 1872

Kudos [?]: 11513 [1] , given: 219

Re: DS Weighted Average [#permalink]

Show Tags

New post 24 Jan 2013, 04:48
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
kingston wrote:
In a work force, the employees are either managers or directors. What is the percentage of directors?
(1) the average salary for manager is $5,000 less than the total average salary.
(2) the average salary for directors is $15,000 more than the total average salary.


c


This is actually a direct application of weighted averages. If you recall the scale method (explained here: http://www.veritasprep.com/blog/2011/03 ... -averages/ ), this is what the number line will look like

AVG-5000 _____________ AVG _________________________AVG+15000

Number of managers/Number of directors = [(AVG+15000) - AVG]/[AVG - (AVG - 5000)] = 3/1

Percentage of directors = 1/(1+3) = 1/4 = 25%
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 6887
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 299

Kudos [?]: 2040 [1] , given: 161

Re: Data Sufficiency Question from GMAT Prep [#permalink]

Show Tags

New post 19 Oct 2015, 11:32
1
This post received
KUDOS
Expert's post
Hi kumarpritam,

You'll likely get more of a response if you post this in the DS Forum here:

gmat-data-sufficiency-ds-141/

GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6736
Location: Pune, India
Followers: 1872

Kudos [?]: 11513 [1] , given: 219

Re: Data Sufficiency Question from GMAT Prep [#permalink]

Show Tags

New post 19 Oct 2015, 22:12
1
This post received
KUDOS
Expert's post
kumarpritam wrote:
Each employee on a certain task force is either a manager or director. What percent of the employees on the task force are director?
1. The average (Arithmetic Mean) salary of the mangers on the task force is $5,000 less than the average salary of all employees on the task force.
2. The average (Arithmetic Mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.



As Rich said, the right forum for this question is the DS forum.

The employees are a mix of managers and directors. We need to find the percentage of directors.

No statement alone gives you information on both managers and directors. We need to find whether both statements together are sufficient.

Use the scale method of weighted averages here.

w1/w2 = (A2 - Aavg)/(Aavg - A1) = 15000/5000 = 3:1
So for every 3 managers, there is one director. Hence, directors are 25% of the employees task force.
Answer (C)

Check this post for details of the scale method: http://www.veritasprep.com/blog/2011/03 ... -averages/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Intern
Intern
User avatar
Joined: 03 Mar 2010
Posts: 40
Followers: 1

Kudos [?]: 14 [0], given: 1

Re: Each employee.. [#permalink]

Show Tags

New post 27 Jul 2010, 05:01
Let's call all employee A, manager M, and director D, so A=M+D. Their average salary is Sa, Sm, and Sd for A, M, and D respectively. The percentage of M and D are x% and y% respectively, so x+y=100%. We have the following equation:
Sa=\frac{x*Sm+y*Sd}{x+y} or Sa=\frac{x*Sm+y*Sd}{100}
Now consider the statement 1, it can be written as Sm=Sa-5000, not sufficient to determine x and y.
The same for statement 2, it leads to Sd=Sa+15000, not sufficient to determine x and y.
Nevertheless, using both statement, by eliminating the constant as follows:
3Sm+Sd=3*(Sa-5000)+(Sa+15000)
3Sm+Sd=4Sa
Sa=\frac{3Sm+Sd}{4}=Sa=\frac{75Sm+25Sd}{100}

Answer is C.
_________________

Hardworkingly, you like my post, so kudos me.

Manager
Manager
avatar
Joined: 21 Feb 2010
Posts: 212
Followers: 1

Kudos [?]: 23 [0], given: 1

Re: Each employee.. [#permalink]

Show Tags

New post 15 Aug 2010, 12:14
thanks a lot bunuel!! i wonder how you know that someone posted the same question before. i did try to do a search, but couldn't find any...
Manager
Manager
avatar
Joined: 17 Dec 2010
Posts: 98
Location: Australia
GMAT 1: 690 Q48 V37
GPA: 3.37
WE: Engineering (Consulting)
Followers: 1

Kudos [?]: 23 [0], given: 15

Re: Percentage of salary of directors. [#permalink]

Show Tags

New post 05 Jan 2011, 19:58
From the given, avg salary = (D(X%) + M(100-X%))/100

Statement 1 doesn't provide any info on D. Not Sufficient
Statement 2 doesn't provide any info on M. Not Sufficient

Now we have 3 unknowns - with 2 equations...

Statement 1 & Statement 2 can come together to provide us with our 3rd equation, which is, on avg, M = D - 20,000

With 3 equations and 3 unknowns - u can find M, D & X. Sufficient

Answer: C
_________________

Kudos always appreciated if my post helped you :)

Manager
Manager
avatar
Joined: 17 Dec 2010
Posts: 98
Location: Australia
GMAT 1: 690 Q48 V37
GPA: 3.37
WE: Engineering (Consulting)
Followers: 1

Kudos [?]: 23 [0], given: 15

Re: Each employee.. [#permalink]

Show Tags

New post 06 Jan 2011, 02:34
Bunuel - is my minimalist solution of just identifying 3 equations satisfactory?

Or do you recommend fully solving it out to see if I net a result?
_________________

Kudos always appreciated if my post helped you :)

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34029
Followers: 6081

Kudos [?]: 76349 [0], given: 9973

Re: Each employee.. [#permalink]

Show Tags

New post 06 Jan 2011, 03:31
Expert's post
MackyCee wrote:
Bunuel - is my minimalist solution of just identifying 3 equations satisfactory?

Or do you recommend fully solving it out to see if I net a result?


Generally you can stop solving a DS question at the point you realize a statement is sufficient to get the answer. Note that for this question we don't need to solve for unknowns, we need to get the ratio of directors to total employees. I don't know what 3 equations are you talking about but the statements together are indeed sufficient to get the desired ratio and one can get this even not calculating its exact value.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
Status: "You never fail until you stop trying." ~Albert Einstein~
Joined: 16 May 2010
Posts: 31
Followers: 0

Kudos [?]: 4 [0], given: 7

Re: Each employee.. [#permalink]

Show Tags

New post 06 Jan 2011, 10:56
Good question. While you can not figure out the number of manager and directors available, you still can manipulate the two equations to get a ratio or percentage. I didn't do any calculations but knowing that there where two statements that are relative to one another and that has factors that do not cancel one another out when setting up the equation to solve for the ratio is enough to conclude that C is the answer.
Re: Each employee..   [#permalink] 06 Jan 2011, 10:56

Go to page    1   2    Next  [ 33 posts ] 

    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic In a work force, the employees are either managers or directors. What GMATnavigator 1 16 Aug 2015, 23:33
25 Experts publish their posts in the topic Each employee of a certain task force is either a manager or Accountant 18 25 Mar 2009, 11:07
Each employee of Company Z is an employee of either Division lionheart187 7 31 Aug 2008, 11:58
109 Experts publish their posts in the topic Each employee of Company Z is an employee of either division GMATBLACKBELT 32 17 Oct 2007, 19:29
Each employee on a certain task force is either a manager or amd08 2 08 Apr 2007, 09:45
Display posts from previous: Sort by

Each employee of a certain task force is either a manager or

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.