Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 03 Nov 2011
Posts: 7

What is the median number of employees assigned per project
[#permalink]
Show Tags
Updated on: 04 May 2012, 02:26
Question Stats:
66% (01:26) correct 34% (01:29) wrong based on 2079 sessions
HideShow timer Statistics
What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by ITIZCODE on 04 May 2012, 02:20.
Last edited by Bunuel on 04 May 2012, 02:26, edited 1 time in total.
Moved to DS subforum




Math Expert
Joined: 02 Sep 2009
Posts: 58316

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
04 May 2012, 02:46
ITIZCODE wrote: What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer (\(\leq{2}\))employees and 25% of the projects have 4 or more (\(\geq{4}\)) employees, then 100%(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: consider there are 100 projects: \(\{p_1, \ p_2, \ ... , \ p_{100}\}\). The values of \(p_1\) to \(p_{35}\) will be 0, 1, or 2; the values of \(p_{36}\) to \(p_{75}\) will be exactly 3; the values of \(p_{76}\) to \(p_{100}\) will be 4 or more. \(Median=\frac{p_{50}+p_{51}}{2}=\frac{3+3}{2}=3\). For example list can be: \(\{2, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 4, \ ..., \ (p_{100}=4)\}\); OR: \(\{0, \ 0, \ 1, \ 1, \ 1, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 5, \ 7, \ 27, \ ..., \ (p_{100}=10000)\}\) (of course there are a lot of other breakdowns). In any case median=3. Hope it's clear. P.S. Please post PS questions in the PS subforum: gmatproblemsolvingps140/ and DS questions in the DS subforum: gmatdatasufficiencyds141/ No posting of PS/DS questions is allowed in the main Math forum.
_________________




Senior Manager
Joined: 10 Mar 2013
Posts: 467
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
20 Aug 2015, 14:36
I've solved it this way (see attachment) > the mid section of 40% =3 (it must be an integer, you cannot have fractions when dealing with persons So Statement 1+2 are sufficient (C)
Attachments
PS 139.png [ 22.89 KiB  Viewed 36304 times ]
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660




Manager
Joined: 28 Jul 2011
Posts: 159

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
06 May 2012, 16:08
Will vote for C
let total be "x" projects i.e 100% projec
(A) 25% projects has number of employees >= 4
 we dont know anything about other 75% projects
(B) 35% project has number of employees <= 2
 we dont know anything about other 65% projects
(C)
for 35% > No. of emp <= 2 for 25% > No. of emp >= 4
based on above data we can calculate that Remaining 40% of projects > No. of emp = 3 (which is between 2 < no. of emp < 4)



Manager
Status: exam is close ... dont know if i ll hit that number
Joined: 06 Jun 2011
Posts: 127
Location: India
Concentration: International Business, Marketing
GMAT Date: 10092012
GPA: 3.2

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
30 Aug 2012, 20:42
bunuel sir great reply ... your approach to the answers by taking apt samples scare me i feel like i just cant do it without error
_________________
just one more month for exam...



Manager
Joined: 01 Sep 2012
Posts: 114

What is the median number of employees assigned per project
[#permalink]
Show Tags
10 Dec 2012, 14:11
What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project Ruled out quickly A,B,D. remained with C, E. chose E. then looked here: whatisthemediannumberofemployeesassignedperproject131892.htmland i still dont understand bunuel's way. why the employees who are not in the 25% or 35% must have exactly 3 employees? thanks
_________________
If my answer helped, dont forget KUDOS! IMPOSSIBLE IS NOTHING



Senior Manager
Joined: 06 Aug 2011
Posts: 318

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
11 Dec 2012, 03:47
roygush wrote: What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project Ruled out quickly A,B,D. remained with C, E. chose E. then looked here: whatisthemediannumberofemployeesassignedperproject131892.htmland i still dont understand bunuel's way. why the employees who are not in the 25% or 35% must have exactly 3 employees? thanks 25% of company Z projects have 4 or more that (4,5,6,....) 35% of company z projects have 2 or less (0,1,2 )... there must b 3 employees per project of company z which consists of (25+35=60) and 10060=40%.. 0,1,2 must be first 35 projects 3 employees for next 40 project and 4 or more than 4 employees for remaning 25 projects..
_________________
Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !



Intern
Joined: 24 Apr 2012
Posts: 45

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
11 Dec 2012, 04:43
ITIZCODE wrote: What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project Ans: : Median is the middle value. Statements 1 and 2 alone give us insufficient data but when we combine both of them we see that 25 % have 4 or more and 35% have 2 or less therefore 40 %have 3 employees. Therefore the median would be 3 and the answer is (C).
_________________
www.mnemoniceducation.com
TURN ON YOUR MINDS!!!



Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 173
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
27 Dec 2012, 09:24
Bunuel wrote: ITIZCODE wrote: What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer (\(\leq{2}\))employees and 25% of the projects have 4 or more (\(\geq{4}\)) employees, then 100%(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: consider there are 100 projects: \(\{p_1, \ p_2, \ ... , \ p_{100}\}\). The values of \(p_1\) to \(p_{35}\) will be 0, 1, or 2; the values of \(p_{36}\) to \(p_{75}\) will be exactly 3; the values of \(p_{76}\) to \(p_{100}\) will be 4 or more. \(Median=\frac{p_{50}+p_{51}}{2}=\frac{3+3}{2}=3\). For example list can be: \(\{2, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 4, \ ..., \ (p_{100}=4)\}\); OR: \(\{0, \ 0, \ 1, \ 1, \ 1, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 5, \ 7, \ 27, \ ..., \ (p_{100}=10000)\}\) (of course there are a lot of other breakdowns). In any case median=3. Hope it's clear. P.S. Please post PS questions in the PS subforum: gmatproblemsolvingps140/ and DS questions in the DS subforum: gmatdatasufficiencyds141/ No posting of PS/DS questions is allowed in the main Math forum. I Did not understand this. How can you deduce about the 40% of the projects based on the information given. The problem just says 25% of the projects have 4 or more. 35% of the projects have 2 or less. So it does not talk anything about 40%. 40 % can be 5,6,7 or anything right?? Could you explain it in detail.
_________________
I've failed over and over and over again in my life and that is why I succeedMichael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+



Math Expert
Joined: 02 Sep 2009
Posts: 58316

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
27 Dec 2012, 10:37
rajathpanta wrote: Bunuel wrote: ITIZCODE wrote: What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer (\(\leq{2}\))employees and 25% of the projects have 4 or more (\(\geq{4}\)) employees, then 100%(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: consider there are 100 projects: \(\{p_1, \ p_2, \ ... , \ p_{100}\}\). The values of \(p_1\) to \(p_{35}\) will be 0, 1, or 2; the values of \(p_{36}\) to \(p_{75}\) will be exactly 3; the values of \(p_{76}\) to \(p_{100}\) will be 4 or more. \(Median=\frac{p_{50}+p_{51}}{2}=\frac{3+3}{2}=3\). For example list can be: \(\{2, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 4, \ ..., \ (p_{100}=4)\}\); OR: \(\{0, \ 0, \ 1, \ 1, \ 1, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 5, \ 7, \ 27, \ ..., \ (p_{100}=10000)\}\) (of course there are a lot of other breakdowns). In any case median=3. Hope it's clear. P.S. Please post PS questions in the PS subforum: gmatproblemsolvingps140/ and DS questions in the DS subforum: gmatdatasufficiencyds141/ No posting of PS/DS questions is allowed in the main Math forum. I Did not understand this. How can you deduce about the 40% of the projects based on the information given. The problem just says 25% of the projects have 4 or more. 35% of the projects have 2 or less. So it does not talk anything about 40%. 40 % can be 5,6,7 or anything right?? Could you explain it in detail. 35 of the projects have 2 or fewer employees. 25 of the projects have 4 or more employees. How many employees can be assigned to the remaining 40 projects? The ranges \(\leq{2}\) and \(\geq{4}\) are covered, thus the remaining 40 projects have 3 employees assigned to them. Hope it's clear.
_________________



Intern
Joined: 13 Oct 2012
Posts: 39
Concentration: General Management, Leadership

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
03 Jan 2013, 23:06
1st 35% are either 1 or 2 and last 25% are 4 and above hence 35  75% should be 3



Intern
Joined: 10 Oct 2012
Posts: 3

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
13 Apr 2013, 03:02
Aren't we assuming here that, statement 1 and 2 refer to highest 25 and bottom 35 percent of the employees, couldn't it be first 35 % then the next 25% and the remaining 40% with unknown number of employees per project, then the median will lie in 4 or more employees, we do not have any particular value and hence E as the correct answer.



VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1020
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
13 Apr 2013, 03:14
raxsin12 wrote: Aren't we assuming here that, statement 1 and 2 refer to highest 25 and bottom 35 percent of the employees, couldn't it be first 35 % then the next 25% and the remaining 40% with unknown number of employees per project, then the median will lie in 4 or more employees, we do not have any particular value and hence E as the correct answer. Statement 2 and 1 must refer to the bottom and to the highest part. "couldn't it be first 35 % then the next 25% and the remaining 40%"? NO. The first 35% have 2 or fewer (till here correct), but then your reasoning goes against the info in statement 1. What you are saying is that 25%+40%= 65% has 4 or more employees => wrong, look at statement 1: (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Hope it's clear P.S: Welcome to GMAT Club!
_________________
It is beyond a doubt that all our knowledge that begins with experience.
Kant , Critique of Pure Reason Tips and tricks: Inequalities , Mixture  Review: MGMAT workshop Strategy: SmartGMAT v1.0  Questions: Verbal challenge SC III CR New SC set out !! , My QuantRules for Posting in the Verbal Forum  Rules for Posting in the Quant Forum[/size][/color][/b]



Intern
Joined: 19 Oct 2013
Posts: 5
GMAT Date: 01132014

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
19 Oct 2013, 11:02
Hi,
i understand the answers, although i must say there is no information that says that no percentage has more than for example 5 employees per project. It could be possible to have a 25% with 4 or more, and from there a group that has 5 or more. Both equalities would still be right. For example a 25% thats has 4 or more, and only 15% that has 5 or more. A group within a group. I hope i made myself clear... In that case the answer for me would be "e"
thank you in advance,



Manager
Joined: 18 May 2014
Posts: 54
Location: United States
Concentration: General Management, Other
GMAT Date: 07312014
GPA: 3.99
WE: Analyst (Consulting)

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
18 May 2014, 10:57
Statement (1) by itself is insufficient because we have no clue how the rest of the employees are assigned... same problem with statement (2).
When we combine the statement, we know that all the other projects have 3 employees assigned to each of them. If we were to write out the list, "3" would cover the middle terms, so it will end up being the median of the set. Hence C.



Intern
Joined: 18 Aug 2012
Posts: 9

What is the median number of employees assigned per project
[#permalink]
Show Tags
28 Nov 2015, 06:46
Detailed Solution StepI: Given Info
The question asks us to find the median number of employees assigned per project for projects at Company Z, using the 2 statements given. StepII: Interpreting the Question Statement
To find the median number of employees, we need to somehow extract the central value for employees, when arranged in ascending order. Central value or median value will be the exact determination of value at the 50%th observation. StepIII: StatementI
Statement I gives us the information about the 25% of projects have 4 or more employees assigned to each project. Now let us say we have 100 projects. There could be a possibility that remaining 75 projects (>50 projects) have 3 employees. Then the central observation (50%th observation in this case 50th project value in total 100 projects) will have a median value of 3 employees. But the remaining 75 projects can have 2 employees as well. Then the median will be 2. So we cannot determine with exact surety, the exact value of median at 50%th observation. Hence, statement 1 is not sufficient to answer the question. StepIV: StatementIIStatement II gives us information that 35% of the projects have 2 or fewer employees assigned to each project. Now, the remaining 65 projects (>50 projects) can have 3 employees. Then the central observation (50%th observation in this case 50th project value in total 100 projects) will have a median value of 3 employees. But the remaining 65 projects(>50 projects) can have a median value of 4 employees as well. Then the median value will be 4 employees. So we cannot determine with exact surety, the exact value of median at 50%th observation. Hence, statement 2 is not sufficient to answer this question. StepV: Combining Statements I & IIWhen we combine both the statements we know the value of 25% of projects (4 or more employees) and 35% projects(2 or fewer employees). So the remaining 40 projects (<50 projects) will have 3 employees. When the observations are arranged in ascending order. The first 35 observations will have 2 or fewer employees and next 40 observations will have 3 employees and then next 25 observations will have 4 or more employees. Thus, the median number of employees will be 3. Hence, the exact determination of central value or value at 50%th observation is 3. So the correct answer is C. Both the statements together are sufficient. Key Takeaways Use of concept of median and evaluating all possible value of central value (median value) for observations to be able to find exact value at 50%th observation (when values arranged in ascending order).



Manager
Joined: 17 Jun 2015
Posts: 196
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
24 Dec 2015, 11:59
Each statement alone is insufficient Combining the two, we understand that there are three categories of employees. Group1: Less than 2 Group 2: Between 2 and 4 i.e. 3 Group 3: Greater than or equal to 4. The media falls in the mid  the 50th percent, which is group 2 Hence C, Both statements together are sufficient.
_________________
Fais de ta vie un rêve et d'un rêve une réalité



Intern
Joined: 27 Oct 2015
Posts: 22

What is the median number of employees assigned per project
[#permalink]
Show Tags
13 Feb 2016, 04:39
Dear Friends, I need your help, coz I'm having problem I have two questions: 1) What if there is no project with THREE employees? Why can't 40% of projects have 5 or more employees or only 1 employee for that matter 2) I couldn't understand why 40% must be between 2 (35%) and 4 (25%): please see the attachment below. I would to know the reasoning behind why 3 employees (40%) must be between 2 and 4. The question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band). Why can't the rest 100(25+35)=40% be at an even higher band (eg 5 employees or more) ? It hasn't been stated nowhere that 35% is the 1st and 25% is the last : rohantiwari wrote: 1st 35% are either 1 or 2 and last 25% are 4 and above hence 35  75% should be 3 I would be so grateful, if u could explain me thoroughly. Thank you very much! Bunuel wrote: What is the median number of employees assigned per project for the projects at Company Z? (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer (\(\leq{2}\))employees and 25% of the projects have 4 or more (\(\geq{4}\)) employees, then 100%(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: consider there are 100 projects: \(\{p_1, \ p_2, \ ... , \ p_{100}\}\). The values of \(p_1\) to \(p_{35}\) will be 0, 1, or 2; the values of \(p_{36}\) to \(p_{75}\) will be exactly 3; the values of \(p_{76}\) to \(p_{100}\) will be 4 or more. \(Median=\frac{p_{50}+p_{51}}{2}=\frac{3+3}{2}=3\). For example list can be: \(\{2, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 4, \ ..., \ (p_{100}=4)\}\); OR: \(\{0, \ 0, \ 1, \ 1, \ 1, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 5, \ 7, \ 27, \ ..., \ (p_{100}=10000)\}\) (of course there are a lot of other breakdowns). In any case median=3.
BrainLab wrote: I've solved it this way (see attachment) > the mid section of 40% =3 (it must be an integer, you cannot have fractions when dealing with persons So Statement 1+2 are sufficient (C) hdwnkr wrote: Each statement alone is insufficient Combining the two, we understand that there are three categories of employees. Group1: Less than 2 Group 2: Between 2 and 4 i.e. 3 Group 3: Greater than or equal to 4. The media falls in the mid  the 50th percent, which is group 2 Hence C, Both statements together are sufficient. Zarrolou wrote: Statement 2 and 1 must refer to the bottom and to the highest part. "couldn't it be first 35 % then the next 25% and the remaining 40%"? NO. The first 35% have 2 or fewer (till here correct), but then your reasoning goes against the info in statement 1. What you are saying is that 25%+40%=65% has 4 or more employees => wrong, look at statement 1: (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
Attachments
Attachment.jpg [ 105.93 KiB  Viewed 20844 times ]



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9699
Location: Pune, India

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
22 Feb 2016, 22:00
studentsensual wrote: Dear Friends, I need your help, coz I'm having problem I have two questions: 1) What if there is no project with THREE employees? Why can't 40% of projects have 5 or more employees or only 1 employee for that matter 2) I couldn't understand why 40% must be between 2 (35%) and 4 (25%): please see the attachment below. I would to know the reasoning behind why 3 employees (40%) must be between 2 and 4. The question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band). Why can't the rest 100(25+35)=40% be at an even higher band (eg 5 employees or more) ? It hasn't been stated nowhere that 35% is the 1st and 25% is the last : rohantiwari wrote: 1st 35% are either 1 or 2 and last 25% are 4 and above hence 35  75% should be 3 I would be so grateful, if u could explain me thoroughly. Thank you very much! Because "5 or more" is already a part of "4 or more" set. Look, the number of employees assigned to a project could be any of the following: 0 (debatable but ok), 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ... and so on When you say 35% project have 2 or fewer employees assigned, it means that 25% projects have either 0 or 1 or 2 employees assigned. All projects that have 1 employee assigned to them are a part of this 25%. Say, this is the first group. When you say 25% projects have 4 or MORE employees assigned, it includes all projects with 4 or 5 or 6 or 7 or 8 etc employees assigned to them. Any project that has 5 or more employees is already a part of this 25%. This is the second group. So what about the rest of the 40% projects? Can they have 1 employee assigned? No. All those projects are accounted for in first group. Can they have 6 employees assigned? No. All those projects are accounted for in second group. The only number left that is not accounted for in wither group is 3. So 40% projects must have exactly 3 employees assigned. Makes sense, now?
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Director
Joined: 02 Sep 2016
Posts: 649

Re: What is the median number of employees assigned per project
[#permalink]
Show Tags
02 Apr 2017, 06:59
(1) If 25 % of the projects at Company Z have 4 or more employees assigned to each project, then 75% of the projects have less than 4 employees. The median thus would be less than 4. But don't know its exact value. Insufficient. BCE (2) Therefore 65% of the projects have more than 2 employees. But still we do not have an exact value. Combine the two statements: 2<Median number of employees<4 Thus its 3. C
_________________
Help me make my explanation better by providing a logical feedback.
If you liked the post, HIT KUDOS !!
Don't quit.............Do it.




Re: What is the median number of employees assigned per project
[#permalink]
02 Apr 2017, 06:59



Go to page
1 2
Next
[ 28 posts ]



