Last visit was: 16 Sep 2026, 21:56 It is currently 16 Sep 2026, 21:56
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Sep 2026
Posts: 113,597
Own Kudos:
841,750
 [12]
Given Kudos: 111,580
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,597
Kudos: 841,750
 [12]
Out of 40 applicants to a law school, 15 majored in political science, 07 Mar 2016, 08:59
2
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

87% (01:44) correct 13% (02:02) wrong based on 291 sessions

History

Date
Time
Result
Not Attempted Yet
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of the applicants majored in political science and had a GPA higher than 3.0?

A. 5
B. 10
C. 15
D. 25
E. 35
ShowHide Answer
Official Answer
A
User avatar
Kurtosis
User avatar
Current Student
Joined: 13 Apr 2015
Last visit: 10 Nov 2021
Posts: 1,384
Own Kudos:
5,324
 [2]
Given Kudos: 1,228
Location: India
Products:
My Reviews
Posts: 1,384
Kudos: 5,324
 [2]
Out of 40 applicants to a law school, 15 majored in political science, 08 Mar 2016, 03:06
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total applicants = 40
Political science = 15 and Non political science = 40 - 15 = 25

GPA > 3.0 = 20 and GPA <= 3.0 = 20

10 Non political science students had GPA <= 3.0 --> 15 Non political science students had GPA > 3.0

GPA > 3.0 in political science = Total - (GPA > 3.0 in non political science) = 20 - 15 = 5

Answer: A
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,775
Own Kudos:
13,274
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,775
Kudos: 13,274
Out of 40 applicants to a law school, 15 majored in political science, 11 Mar 2016, 13:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi All,

This Overlapping Sets question is a 'lift' of an Official Guide question:

GMAT2016 page 180, #198
OG13/GMAT2015 page 178 #186

GMAT assassins aren't born, they're made,
Rich
User avatar
laddaboy
User avatar
Joined: 22 May 2015
Last visit: 11 Aug 2026
Posts: 105
Own Kudos:
112
Given Kudos: 26
Posts: 105
Kudos: 112
Out of 40 applicants to a law school, 15 majored in political science, 20 Mar 2017, 07:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total No of Students = 40

Majored in PS = 15
Avg > 3.0 = 20
No major and Avg < 3.0 = 10 =>Majored in P.S + Avg > 3.0 = 40-10 = 30 i.e Majored in PS + AVG > 3.0 = 30

Majored in PS Only + (Major in PS + Avg > 3.0) + (Major in PS + Avg > 3.0) + Avg > 3.0 = 15 + 20 = 35

30 + (Major in PS + Avg > 3.0) = 35

(Major in PS + Avg > 3.0) = 5
User avatar
KrishnakumarKA1
User avatar
Joined: 05 Jan 2017
Last visit: 13 Oct 2020
Posts: 398
Own Kudos:
316
 [1]
Given Kudos: 15
Location: India
Posts: 398
Kudos: 316
 [1]
Out of 40 applicants to a law school, 15 majored in political science, 21 Mar 2017, 04:11
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of the applicants majored in political science and had a GPA higher than 3.0?

A. 5
B. 10
C. 15
D. 25
E. 35
Show more

40 = 15 +20 - both + 10

both = 5
User avatar
FlyingCycle
User avatar
Joined: 13 Jun 2020
Last visit: 06 Apr 2024
Posts: 38
Own Kudos:
18
 [1]
Given Kudos: 15
Posts: 38
Kudos: 18
 [1]
Out of 40 applicants to a law school, 15 majored in political science, 17 Oct 2020, 03:16
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
used matrix method to get the answer within 15 secs..
Attachments

NPS.PNG
NPS.PNG [ 6.28 KiB | Viewed 3166 times ]

User avatar
Basshead
User avatar
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 899
Own Kudos:
341
Given Kudos: 431
Location: United States
Posts: 899
Kudos: 341
Out of 40 applicants to a law school, 15 majored in political science, 17 Oct 2020, 06:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Create a double matrix and solve this question in less than a minute.
Attachments

40lawschool.PNG
40lawschool.PNG [ 8.79 KiB | Viewed 3126 times ]

User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,231
Own Kudos:
1,160
Posts: 39,231
Kudos: 1,160
Out of 40 applicants to a law school, 15 majored in political science, 23 Oct 2024, 07:13
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.
Moderator:
Bunuel
Math Expert
113597 posts