Last visit was: 28 Sep 2026, 04:13 It is currently 28 Sep 2026, 04:13
Home
Messages
Tests
Schools
Events
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
655-705 (Hard)|   Overlapping Sets|         
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 Sep 2026
Posts: 113,976
Own Kudos:
844,100
 [9]
Given Kudos: 111,863
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,976
Kudos: 844,100
 [9]
In Company X, 70% of the junior employees and 38% of the non-junior 11 Jun 2026, 07:30
1
Kudos
Add Kudos
8
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:

(N/A)

Question Stats:

72% (02:30) correct 28% (02:40) wrong based on 322 sessions

History

Date
Time
Result
Not Attempted Yet
In Company X, 70% of the junior employees and 38% of the non-junior employees received a negative performance review. If 42% of Company X employees received a negative performance review, what percent of Company X's employees are junior employees?

(A) 6.25%

(B) 12.5%

(C) 14%

(D) 86%

(E) 87.5%
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 Sep 2026
Posts: 113,976
Own Kudos:
844,100
Given Kudos: 111,863
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,976
Kudos: 844,100
In Company X, 70% of the junior employees and 38% of the non-junior 13 Jun 2026, 07:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In Company X, 70% of the junior employees and 38% of the non-junior employees received a negative performance review. If 42% of Company X employees received a negative performance review, what percent of Company X's employees are junior employees?

(A) 6.25%

(B) 12.5%

(C) 14%

(D) 86%

(E) 87.5%
Show more

GMATNinja Video Solution:



General Discussion
User avatar
MakB
User avatar
Joined: 05 May 2025
Last visit: 28 Sep 2026
Posts: 98
Own Kudos:
45
 [1]
Given Kudos: 161
Posts: 98
Kudos: 45
 [1]
In Company X, 70% of the junior employees and 38% of the non-junior 01 Jul 2026, 14:00
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I guess this question should be tagged in Algebra or weighted average questions and not Overlapping Sets.
User avatar
PolarStar
User avatar
Joined: 14 May 2026
Last visit: 18 Sep 2026
Posts: 1
Own Kudos:
1
 [1]
Given Kudos: 2
Posts: 1
Kudos: 1
 [1]
In Company X, 70% of the junior employees and 38% of the non-junior 09 Jul 2026, 05:38
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
It can also be done with a grid:
Attachments

Ohne Titel.png
Ohne Titel.png [ 324.92 KiB | Viewed 1080 times ]

User avatar
Username1512
User avatar
Joined: 18 Jan 2026
Last visit: 26 Sep 2026
Posts: 32
Own Kudos:
4
Given Kudos: 45
GRE 1: Q160 V159
GRE 1: Q160 V159
Posts: 32
Kudos: 4
In Company X, 70% of the junior employees and 38% of the non-junior 22 Jul 2026, 10:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I initially thought to solve it using the 2X2 matrix but then applied allegation and solved it in less than a min. Bunuel, pls let me know if that's the right way to approah this!
User avatar
lavsharma
User avatar
Joined: 26 Oct 2025
Last visit: 28 Sep 2026
Posts: 1
Posts: 1
Kudos: 0
In Company X, 70% of the junior employees and 38% of the non-junior 13 Sep 2026, 07:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
70 of x + 38% of (100-x) = 42% (x+100-x) (where x= junior employees)
By solving, we get-
70x+3800−38x=4200
x=400/32=12.5 (b)
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 25 Sep 2026
Posts: 16,668
Own Kudos:
81,567
 [1]
Given Kudos: 492
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,668
Kudos: 81,567
 [1]
In Company X, 70% of the junior employees and 38% of the non-junior 13 Sep 2026, 23:24
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
In Company X, 70% of the junior employees and 38% of the non-junior employees received a negative performance review. If 42% of Company X employees received a negative performance review, what percent of Company X's employees are junior employees?

(A) 6.25%

(B) 12.5%

(C) 14%

(D) 86%

(E) 87.5%
Show more

Use the weighted averages formula discussed here: https://anaprep.com/arithmetic-weighted-averages/

\(\frac{w1}{w2} = \frac{(38 - 42)}{(42 - 70)} = \frac{1}{7}\)

So 1 part are junior and 7 parts are senior which means 1/8 = 12.5% of the company are Junior employees.

Answer (B)
User avatar
oliwrz
User avatar
Joined: 10 Aug 2026
Last visit: 19 Sep 2026
Posts: 1
Given Kudos: 3
Posts: 1
Kudos: 0
In Company X, 70% of the junior employees and 38% of the non-junior 13 Sep 2026, 23:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let x be the percentage of Companys X junior employees.
0.42 = x * 0.7 + (1 - x) * 0.38
0.42 = 0.7x - 0.38x + 0.38
0.04 = 0.32x
x = 0.125 = 12.5%
Moderator:
Bunuel
Math Expert
113976 posts