Last visit was: 23 Apr 2026, 07:03 It is currently 23 Apr 2026, 07:03
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
anupam87
Joined: 23 Dec 2011
Last visit: 24 Jul 2025
Posts: 67
Own Kudos:
105
 [37]
Given Kudos: 131
Posts: 67
Kudos: 105
 [37]
4
Kudos
Add Kudos
30
Bookmarks
Bookmark this Post
User avatar
shridhar786
Joined: 31 May 2018
Last visit: 08 Feb 2022
Posts: 322
Own Kudos:
1,752
 [4]
Given Kudos: 132
Location: United States
Concentration: Finance, Marketing
Posts: 322
Kudos: 1,752
 [4]
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
avatar
mosshiur
Joined: 14 Jan 2020
Last visit: 15 Oct 2020
Posts: 1
Posts: 1
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,778
Own Kudos:
Given Kudos: 105,853
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,778
Kudos: 810,781
Kudos
Add Kudos
Bookmarks
Bookmark this Post
mosshiur
Please describe the problem further- I am facing difficulties solving the problem.

Please suggest some theories to get some basic information about the problems

Posted from my mobile device

19. Overlapping Sets



For more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
avatar
fireagablast
Joined: 30 Jun 2019
Last visit: 17 Aug 2021
Posts: 260
Own Kudos:
129
 [2]
Given Kudos: 8
Posts: 260
Kudos: 129
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
100 professors
60 are academic, 40 professional
70 tenured, 30 not tenured

90 are Academic, or tenured, or both
90 = A + T - ANT
ANT = Academic and Tenured = 40

70 total Tenured - 40 Academic and Tenured = 30 professional tenured

40 professional - 30 professional = 10 professional

the trick here is to recognize what the question is asking.
It wants the subset percentage of the professionals who are tenured

total professionals = 40
total professionals tenured = 30

30/40 = 3/4 = 75%
User avatar
nikitathegreat
Joined: 16 Dec 2021
Last visit: 15 Apr 2026
Posts: 177
Own Kudos:
Given Kudos: 110
Location: India
GMAT 1: 630 Q45 V31
Products:
GMAT 1: 630 Q45 V31
Posts: 177
Kudos: 23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Dont we get negative equation here?

90/100x = 60/100x +70/100x + y
Here both value (y) = -40/100x
How can the value be negative? Where am I going wrong?

Bunuel - Can you help ?
User avatar
HarshavardhanR
Joined: 16 Mar 2023
Last visit: 23 Apr 2026
Posts: 488
Own Kudos:
Given Kudos: 67
Status:Independent GMAT Tutor
Affiliations: Ex - Director, Subject Matter Expertise at e-GMAT
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 488
Kudos: 576
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­
There are 4 categories of profs here:
1) Academic + Tenured
2) Academic + Not tenured
3) Professional + Tenured
4) Professional + Not tenured

We are given that (1) + (2) + (3) = 90% (Academic or tenured or both)
=> Professional + Not tenured = 10%

Because 60% of profs are Academic, 40% are professional. So, now we have the following ->

- Total Professional profs: 40% of total number of profs
- Professional + Not tenured = 10% of total number of profs
=> Professional + Tenured = 40-10 = 30% of total number of profs

What percent of the professional professors there are tenured?
30/40 = 75%. Choice E.
___
Harsha
Enthu about all things GMAT | Exploring the GMAT space | My website: gmatanchor.com
 
Attachment:
GMAT-Club-Forum-6zhzjhxc.png
GMAT-Club-Forum-6zhzjhxc.png [ 50.89 KiB | Viewed 1972 times ]
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,959
Own Kudos:
Posts: 38,959
Kudos: 1,117
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109778 posts
Tuck School Moderator
853 posts