GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 31 Mar 2020, 22:19

### 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

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

# There are 50 employees in the office of ABC Company. Of

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, 07:44
5
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:33) correct 25% (02:12) wrong based on 429 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

Originally posted by cv3t3l1na on 23 Nov 2012, 07:36.
Last edited by Bunuel on 23 Nov 2012, 07:44, edited 1 time in total.
Renamed the topic and edited the question.
VP
Joined: 02 Jul 2012
Posts: 1092
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
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, 08:05
3
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.
Director
Status: Been a long time guys...
Joined: 03 Feb 2011
Posts: 967
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, 09:39
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 Total-neither=A+B+C-A(intersection)B-B(intersection)C-C(intersection)A+A(intersection)B(intersection)C ?
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 62380
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

23 Nov 2012, 09:53
1
Marcab wrote:
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 Total-neither=A+B+C-A(intersection)B-B(intersection)C-C(intersection)A+A(intersection)B(intersection)C ?

Hope it helps.
_________________
Manager
Joined: 21 Oct 2013
Posts: 174
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

20 Dec 2013, 02:08
1
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.
51-9= 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.
42-2= 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: 11
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

23 Feb 2015, 18:45
Hii MacFauz.
I got confused with the formula applied.
Isn't it Total-neither=A+B+C-A(intersection)B-B(intersection)C-C(intersection)A+A(intersection)B(intersection)C ?
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16326
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

23 Feb 2015, 21:28
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
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1713
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, 00:11
2
1
Refer diagram below:

Attachment:

overla.png [ 7.37 KiB | Viewed 13446 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

Intern
Joined: 23 Dec 2014
Posts: 11
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

25 Feb 2015, 18:24
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/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16326
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

25 Feb 2015, 21:24
1
1
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
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Intern
Joined: 23 Dec 2014
Posts: 11
There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

26 Feb 2015, 18:11
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.
CEO
Joined: 03 Jun 2019
Posts: 2500
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: There are 50 employees in the office of ABC Company. Of  [#permalink]

### Show Tags

11 Nov 2019, 09:24
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

22 + 15 + 14 - 9 - 1*2 = 40
None = 50 - 40 = 10

IMO C

Posted from my mobile device
Re: There are 50 employees in the office of ABC Company. Of   [#permalink] 11 Nov 2019, 09:24
Display posts from previous: Sort by