November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 23 Nov 2010
Posts: 48

A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
19 Jun 2016, 04:17
Question Stats:
60% (01:37) correct 40% (01:40) wrong based on 611 sessions
HideShow timer Statistics
A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree? (1) 130 of the company's employees do not have a college degree (2) 125 of the company's employees are men
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Aug 2009
Posts: 7029

Re: A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
19 Jun 2016, 05:05
unuk50 wrote: A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?
i) 130 of the company's employees do not have a college degree ii) 125 of the company's employees are men Total employees = 255... No other info... is the the probability less than 1/2 that the employee selected will be a woman who has a college degree? OR is the # of women with college degree \(< \frac{255}{2} .... < 128\) lets see the statements i) 130 of the company's employees do not have a college degreeLets look at the MAX probability  All the college degree holders are women...so Women with college degree = 255130 = 125 < 128.. So even in the MAX case possible, ans will be YES Suff.. ii) 125 of the company's employees are menso the remaining 255125 = 130 are women.. MAX probability = all 130 are with college degree...so 130 > 128..... ans is NO MIN prob = None of these 130 are college holders..0 < 128... ans is YES. Different answers possible Insuff A
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor




Senior Manager
Status: You have to have the darkness for the dawn to come
Joined: 09 Nov 2012
Posts: 295
Daboo: Sonu
GMAT 1: 590 Q49 V20 GMAT 2: 730 Q50 V38

Re: A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
22 Oct 2016, 20:50
unuk50 wrote: A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?
(1) 130 of the company's employees do not have a college degree (2) 125 of the company's employees are men Given no of employee= 255 question asked P(W)< 1/2 here P (W) indicated probability of employee selected will be a woman who has a college degree Statement 1130 employees do not have a college degree. it means 125 employees have a college degree. hence total men + women who have a college degree = 125 therefor probability of P(M+W)= 125/255 and is less than 1/2. so consider the extreme. let us assume all 125 are women even then P(w)< 1/2. Hence from statement we can give answer P(w)<1/2 Statement 2no of men in a group =125 but from this we cannot tell about no of women who have college degree. So this is insufficient. Hence A is our answer
_________________
You have to have the darkness for the dawn to come.
Give Kudos if you like my post




Intern
Joined: 23 Nov 2010
Posts: 48

Re: A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
19 Jun 2016, 04:20
unuk50 wrote: A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?
i) 130 of the company's employees do not have a college degree ii) 125 of the company's employees are men Ans: A i) if 130 of 255 employees are those without a college degree => <50% have a college degree => Sufficient ii) 125 of 255 are male => 130 are female => either possibility exists: possibility that all 130 have a college degree, or possibility that <128 have a college degree. Insufficient. Therefore, answer = A



Intern
Joined: 25 May 2014
Posts: 8

Re: A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
28 Jun 2016, 07:29
Question asks if combined probability is less than .5 ?
> if we can estabilish that one of the two probability is less than .5 then we know that even 1(full probability) * 0.49(anything less than .5) = less than .5
> A tells that the probability is less than .5 (255130=125 and 125/255 is less than .5)  sufficient > B clearly not sufficient



Director
Joined: 04 Jun 2016
Posts: 569

A company has 255 employees. If one employee is randomly selected, is
[#permalink]
Show Tags
Updated on: 09 Jul 2016, 05:48
Question stem gives us the number of total employees = 255 and asks us Is the the probability less than 1/2 that the employee selected will be a woman having a degree? So we have to find out is the number of women who have a college degree is half of the total employee? Mathematically speaking >Number of women \(\frac{255 X 1}{2} <127.5\) ??? (This is the crux of the argument)
Since women cannot be half, the numerical figure has to be <128 The other way to see this problem is \(P(Women with degree) =\frac{(Number of women with degree)}{Total employee} <\frac{1}{2}\) Statement 1) 130 of the company's employees do not have a college degree It means that 125 people have college degree (These include both men and women) Now lets look at the maximum probability that all women have college degree. Women with college degree = 255130 = 125 (Meaning All women that have college degree are 125 in number) Notice how even if ALL the women have college degree, it is still not \(\frac{1}{2}\) So the probability of being a woman and having a college degree cannot ever be \(\frac{1}{2}\) because \(\frac{125}{255}\)is always less than\(\frac{1}{2}\) Statement 1 gives a definite NO
SO SUFFICIENT (Now the answer can be only A or D) Statement 2) 125 of the company's employees are men, Meaning (255125) = 130 are women. Lets work with the assumption that all 130 are with college degree Is 130 < 128 (Remember we got this from Stimulus) > No It can also be interpreted as : \(Is \frac{130}{255} <\frac{1}{2}\) The answer is still NO
Now lets again work with the assumption that NONE of 130 are with college degree. MIN prob = None of these 130 are college holders.. 0 < 128> Yes It can also be interpreted as :\(Is \frac{0}{255}<\frac{1}{2}\) The answer in this case is YES
Statement 2 is not giving definite answers. Sometimes it is YES and sometimes it is NO Therefore not sufficient (Since B is not sufficient then the combined Option D also goes to garbage bin and only Option A remains) ANSWER IS A Bunuel wrote: A company has 255 employees. If one employee is randomly selected, is the probability that the employee a woman and has a college degree less than 1/2?
(1) 135 employees do not have a college degree. (2) 125 are men.
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE : 17th SEPTEMBER 2016. .. 16 March 2017  I am back but for all purposes please consider me semiretired.
Originally posted by LogicGuru1 on 09 Jul 2016, 04:08.
Last edited by LogicGuru1 on 09 Jul 2016, 05:48, edited 1 time in total.



Senior Manager
Joined: 02 Mar 2012
Posts: 315

Re: A company has 255 employees. If one employee is randomly selected, is
[#permalink]
Show Tags
09 Jul 2016, 05:43
A
people who have college degree =120 consider all are woman then also p<1/2
2)no suff women are 130 maybe or maybe not



Manager
Joined: 10 May 2014
Posts: 138

A company has 255 employees. If one employee is randomly selected, is
[#permalink]
Show Tags
10 Jul 2016, 19:58
Understanding the questionIf you look at the 4 possible options that the question stem allows, you will see a Venn Diagram with the following subsets:  WD: Women Degree  WN: Women No Degree  MD: Men Degree  MN: Men No Degree The question stem asks whether WD < 0.5, or in other words whether WD < 127.5 (or WD < 128, since humans have to be in integers) Statement 1It states that there D = 120 and N = 135. For that reason WD (a subset of D) MUST BE less than 120. Sufficient Statement 2It states that M = 125 and W = 130. However, WD (a subset of W) could or could not be less than 128. Not Sufficient. OA = A
_________________
Consider giving me Kudos if I helped, but don´t take them away if I didn´t!
What would you do if you weren´t afraid?



Director
Joined: 04 Jun 2016
Posts: 569

Re: A company has 255 employees. If one employee is randomly selected, is
[#permalink]
Show Tags
10 Jul 2016, 23:08
It will be awesome if you can make a venn diagram and attach it with your explanation. Figures and diagrams always help in understanding the answer much more easily and also the retention of such explanation is higher. minwoswoh wrote: Understanding the question If you look at the 4 possible options that the question stem allows, you will see a Venn Diagram with the following subsets:  WD: Women Degree  WN: Women No Degree  MD: Men Degree  MN: Men No Degree
The question stem asks whether WD < 0.5, or in other words whether WD < 127.5 (or WD < 128, since humans have to be in integers)
Statement 1 It states that there D = 120 and N = 135. For that reason WD (a subset of D) MUST BE less than 120. Sufficient
Statement 2 It states that M = 125 and W = 130. However, WD (a subset of W) could or could not be less than 128. Not Sufficient.
OA = A
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE : 17th SEPTEMBER 2016. .. 16 March 2017  I am back but for all purposes please consider me semiretired.



Manager
Joined: 03 Jul 2016
Posts: 75

Re: A certain company has 255 employees
[#permalink]
Show Tags
26 Aug 2016, 14:01
Tricky one..
Statement 1: 130 i.e. more than half of the total employees (255) don't have college degree.
So even we assume all the other employees i.e. 125 to be women, 125/255 < 1/2.
Statement 2: Similar to the above explanation, this statement is not sufficient, as the probability could be < or > 1/2.



Intern
Joined: 17 Jun 2016
Posts: 44

Re: A certain company has 255 employees
[#permalink]
Show Tags
26 Aug 2016, 23:35
Not getting this one



Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3613

Re: A certain company has 255 employees
[#permalink]
Show Tags
26 Aug 2016, 23:53
shonakshi wrote: Not getting this one Let me try helping you out. Total Employees = 255. A says 130 donot have the college degree. => 255130 have the college degree = 125. So, lets say all of these 125 are women. So, Probability that all of these women have the college degree = MAX probability for women to have the degree = 125/255 <1/2. Even if I consider that all employees are women, still I will get the max probability for women to have the college degree < 1/2. Thus, A is sufficient.
_________________
My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub  Importance of an Error Log! Verbal Resources: All SC Resources at one place  All CR Resources at one place Blog: Subscribe to Question of the Day Blog GMAT Club Inbuilt Error Log Functionality  View More. New Visa Forum  Ask all your Visa Related Questions  here. New! Best Reply Functionality on GMAT Club! Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free Check our new About Us Page here.



Director
Joined: 04 Jun 2016
Posts: 569

Re: A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
27 Aug 2016, 06:09
shonakshi wrote: Not getting this one have a look at my post just 3 4 post earlier to yours ... you will get what the question is asking and how to solve it
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE : 17th SEPTEMBER 2016. .. 16 March 2017  I am back but for all purposes please consider me semiretired.



Intern
Joined: 09 Oct 2016
Posts: 34

Re: A certain company has 255 employees. If an employee is to be selected
[#permalink]
Show Tags
23 Apr 2018, 13:13
unuk50 wrote: A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?
(1) 130 of the company's employees do not have a college degree (2) 125 of the company's employees are men The question here is the number of women who has College Degree > 127. So, let`s call that x, is x >127
Attachments
Capture.JPG [ 112.94 KiB  Viewed 3466 times ]




Re: A certain company has 255 employees. If an employee is to be selected &nbs
[#permalink]
23 Apr 2018, 13:13






