Last visit was: 20 Nov 2025, 05:08 It is currently 20 Nov 2025, 05:08
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
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
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
d999
User avatar
Current Student
Joined: 06 Mar 2020
Last visit: 13 Dec 2022
Posts: 102
Own Kudos:
183
 [4]
Given Kudos: 33
Location: India
Concentration: Finance
Schools: CBS (M)
GMAT 1: 660 Q48 V33
Products:
My Reviews
Schools: CBS (M)
GMAT 1: 660 Q48 V33
Posts: 102
Kudos: 183
 [4]
Each employee who works in company X works in exactly one of 09 Mar 2020, 09:42
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

68% (01:55) correct 32% (02:00) wrong based on 179 sessions

History

Date
Time
Result
Not Attempted Yet
Each employee who works in company X works in exactly one of departments A, B, and C. What fraction of all the employees who work in company X work in department A?

(1) The ratio of the total number of employees who work in departments A and C to the number of employees who work in department B is 7 to 3.

(2) The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is times the number of employees who work in department A.
ShowHide Answer
Official Answer
B
User avatar
sujoykrdatta
User avatar
Joined: 26 Jun 2014
Last visit: 19 Nov 2025
Posts: 547
Own Kudos:
1,115
Given Kudos: 13
Status:Mentor & Coach | GMAT Q51 | CAT 99.98
GMAT 1: 750 Q51 V39
Expert
Expert reply
GMAT 1: 750 Q51 V39
Posts: 547
Kudos: 1,115
Each employee who works in company X works in exactly one of 10 Mar 2020, 00:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
770GMAT
Each employee who works in company X works in exactly one of departments A, B, and C. What fraction of all the employees who work in company X work in department A?

(1) The ratio of the total number of employees who work in departments A and C to the number of employees who work in department B is 7 to 3.

(2) The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is times the number of employees who work in department A.
Show more


Assuming the number of employees in A, B and C as a, b, c respectively:

We have:

Statement 1: (a + c) : b = 7 : 3 - Clearly this is insufficient since we have no information about the value of 'a'

Statement 2: The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is ?? times the number of employees who work in department A --- I am assuming that the value for the ?? was given - I am assuming it to be k

=> The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is k times the number of employees who work in department A

=> (a+b+c)/3 = k*a

=> a/(a+b+c) = 1/3k (Note: the value of k is known) --- Sufficient

Answer B
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,414
Own Kudos:
778,490
Given Kudos: 99,987
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,414
Kudos: 778,490
Each employee who works in company X works in exactly one of 18 Mar 2020, 10:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
770GMAT
Each employee who works in company X works in exactly one of departments A, B, and C. What fraction of all the employees who work in company X work in department A?

(1) The ratio of the total number of employees who work in departments A and C to the number of employees who work in department B is 7 to 3.

(2) The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is XXX times the number of employees who work in department A.
Show more
__________________________
Please edit the post. Thank you.
User avatar
SaquibHGMATWhiz
User avatar
GMATWhiz Representative
Joined: 23 May 2022
Last visit: 12 Jun 2024
Posts: 623
Own Kudos:
725
 [1]
Given Kudos: 6
Location: India
GMAT 1: 760 Q51 V40
Expert
Expert reply
GMAT 1: 760 Q51 V40
Posts: 623
Kudos: 725
 [1]
Each employee who works in company X works in exactly one of 17 Oct 2022, 01:29
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
d999
Each employee who works in company X works in exactly one of departments A, B, and C. What fraction of all the employees who work in company X work in department A?

(1) The ratio of the total number of employees who work in departments A and C to the number of employees who work in department B is 7 to 3.

(2) The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is times the number of employees who work in department A.
Show more
Solution:
Pre Analysis:
  • Each employee in company X works in exactly one of departments A, B and C
  • Let the number of employees working in these departments be a, b and c respectively
  • We are asked the value of \(\frac{a}{a+b+c}\)

Statement 1: The ratio of the total number of employees who work in departments A and C to the number of employees who work in department B is 7 to 3
  • Accordign to this statement, \(\frac{a+c}{b}=\frac{7}{3}\)
  • From this we can assume \(a+c=7x\) and \(b=3x\) and we can get \(a+b+c=7x+3x=10x\)
  • This will not help us get the value of \(\frac{a}{a+b+c}=\frac{a}{10x}\)
  • Thus, statement 1 alone is not sufficient and we can eliminate options A and D

Statement 2: The average (arithmetic mean) of the numbers of employees who work in departments A, B, and C is times the number of employees who work in department A
  • According to this statement, \(\frac{a+b+c}{3}=3a\) or \(\frac{a}{a+b+c}=\frac{1}{9}\)


Hence the right answer is Option B
Moderators:
Bunuel
Math Expert
105414 posts
kingbucky
496 posts