Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 22 Oct 2012
Posts: 7

There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
Updated on: 23 Nov 2012, 08:44
Question Stats:
74% (01:15) correct 26% (01:42) wrong based on 390 sessions
HideShow timer Statistics
There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 1 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses? A. 0 B. 9 C. 10 D. 11 E. 26
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by cv3t3l1na on 23 Nov 2012, 08:36.
Last edited by Bunuel on 23 Nov 2012, 08:44, edited 1 time in total.
Renamed the topic and edited the question.



VP
Joined: 02 Jul 2012
Posts: 1194
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
23 Nov 2012, 09:05
cv3t3l1na wrote: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 1 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
A. 0 B. 9 C. 10 D. 11 E. 26 50 = 22 + 15 + 14  9  1*2 + x x = 10 Kudos Please... If my post helped.
_________________
Did you find this post helpful?... Please let me know through the Kudos button.
Thanks To The Almighty  My GMAT Debrief
GMAT Reading Comprehension: 7 Most Common Passage Types



VP
Status: Been a long time guys...
Joined: 03 Feb 2011
Posts: 1271
Location: United States (NY)
Concentration: Finance, Marketing
GPA: 3.75

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
23 Nov 2012, 10:39
MacFauz wrote: cv3t3l1na wrote: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 1 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
A. 0 B. 9 C. 10 D. 11 E. 26 50 = 22 + 15 + 14  9  1*2 + x x = 10 Kudos Please... If my post helped. Hii MacFauz. I got confused with the formula applied. Isn't it Totalneither=A+B+CA(intersection)BB(intersection)CC(intersection)A+A(intersection)B(intersection)C ?
_________________
Prepositional Phrases ClarifiedElimination of BEING Absolute Phrases Clarified Rules For Posting www.UnivScholarships.com



Math Expert
Joined: 02 Sep 2009
Posts: 46064

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
23 Nov 2012, 10:53



Manager
Joined: 21 Oct 2013
Posts: 189
Location: Germany
GPA: 3.51

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
20 Dec 2013, 03:08
50 Employees. Counting every "different" attendand to the courses we have:
Accounting: 22 Finance: 15 Marketing: 14
Which would add up to 51 "different" attendands, which is not possible. Now 9 have taken exactly 2 courses, which means that there are 9 less "different" attendands. Say that 9 of the Finance attentands also attended Accounting. 519= 42
1 Person has taken all three courses. As above, we subtract him from the number of "different" attendands. Since this time the person took all three courses, we have to substract him two times. 422= 40.
This tells us that we had 40 "different" attendands and 10 employees who didn't take any courses.
Hope it helps.
Happy Holidays!



Intern
Joined: 23 Dec 2014
Posts: 16

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
23 Feb 2015, 19:45
Hii MacFauz. I got confused with the formula applied. Isn't it Totalneither=A+B+CA(intersection)BB(intersection)CC(intersection)A+A(intersection)B(intersection)C ?



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11794
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
23 Feb 2015, 22:28
Hi Bingo123, In this variation on the question, you have to account for the employees who have taken none of the courses. You can either subtract that group from the total OR add that group to the sum of the other groups. The net effect on the calculation will be the same. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
24 Feb 2015, 01:11
Refer diagram below: Attachment:
overla.png [ 7.37 KiB  Viewed 8057 times ]
We require to find value of x (yellow shaded region) Given that a+b+c = 9 Setting up the equation 22 + 13  (a+c) + c + 14  (b+c) + x = 50 x  9 = 1 x = 10 Answer = C
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 23 Dec 2014
Posts: 16

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
25 Feb 2015, 19:24
Hello Rich,
Thanks for you response. However, my point is not about the employees who have taken none of the courses.
Instead, for about the employees who have taken all the courses. ( 1*2 in the below equation).
50 = 22 + 15 + 14  9  1*2 + x
x = 10
As per my knowledge, we should add (1 time) the employees who have taken all the courses. However, what i see in the solution is that we are subtracting (2 times) the same. This is completely against the logic and formula.
Kindly help to explain. Thanks.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11794
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
25 Feb 2015, 22:24
Hi Bingo123, If someone has taken ALL 3 courses, then that person has been counted 3 times (once in accounting, once in finance and once in marketing), but each person is only supposed to counted once in total. As such, you have to subtract 2 of those "counts" from the calculation. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Intern
Joined: 23 Dec 2014
Posts: 16

There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
26 Feb 2015, 19:11
Hello Rich,
Thanks for your response.I now understand my mistake of ignoring the word "EXACTLY" in 2 courses.
The established formula of 3 sets takes it as " At least 2 courses" which is why it adds"All Courses" once.
Thanks.



NonHuman User
Joined: 09 Sep 2013
Posts: 6992

Re: There are 50 employees in the office of ABC Company. Of [#permalink]
Show Tags
05 Mar 2018, 14:19
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: There are 50 employees in the office of ABC Company. Of
[#permalink]
05 Mar 2018, 14:19






