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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

23 Nov 2012, 08:36

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

71% (02:19) correct
29% (01:50) wrong based on 276 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?

Re: There are 50 employees in the office of ABC Company. Of [#permalink]

Show Tags

23 Nov 2012, 09:05

2

This post received KUDOS

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.

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 Total-neither=A+B+C-A(intersection)B-B(intersection)C-C(intersection)A+A(intersection)B(intersection)C ?
_________________

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 ?

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. 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.

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 Total-neither=A+B+C-A(intersection)B-B(intersection)C-C(intersection)A+A(intersection)B(intersection)C ?

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.

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.

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.

Best Schools for Young MBA Applicants Deciding when to start applying to business school can be a challenge. Salary increases dramatically after an MBA, but schools tend to prefer...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...