Last visit was: 23 Apr 2026, 03:07 It is currently 23 Apr 2026, 03:07
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,773
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: 109,773
Kudos: 810,727
 [26]
3
Kudos
Add Kudos
23
Bookmarks
Bookmark this Post
User avatar
peachfuzz
Joined: 28 Feb 2014
Last visit: 27 Jan 2018
Posts: 268
Own Kudos:
369
 [1]
Given Kudos: 132
Location: United States
Concentration: Strategy, General Management
Products:
Posts: 268
Kudos: 369
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
tryambaks
Joined: 24 Jul 2014
Last visit: 13 Jun 2024
Posts: 69
Own Kudos:
131
 [4]
Given Kudos: 39
Location: India
WE:Information Technology (Computer Software)
Posts: 69
Kudos: 131
 [4]
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
avatar
mango aadmi
Joined: 10 Sep 2015
Last visit: 02 Aug 2016
Posts: 23
Own Kudos:
8
 [1]
Given Kudos: 517
Posts: 23
Kudos: 8
 [1]
Kudos
Add Kudos
Bookmarks
Bookmark this Post
S=100
not( A and B ) =35

only A=20

(A and B)/B=1/2

let ( A and B ) =x
only B =2x

so now, 20+35+x+2x=100
x= 15

A ans
User avatar
nipunjain14
Joined: 07 May 2015
Last visit: 12 Aug 2017
Posts: 150
Own Kudos:
83
 [3]
Given Kudos: 21
Location: India
GMAT 1: 660 Q48 V31
GPA: 3
GMAT 1: 660 Q48 V31
Posts: 150
Kudos: 83
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
let total be 100

unfavourable for both= 35
Favour only A = 20

favour only B = b
Favour A and B = b/2

Thus :
20+b+b/2+35= 100
b= 30
b/2 = 15

Ans:A
User avatar
Fdambro294
Joined: 10 Jul 2019
Last visit: 20 Aug 2025
Posts: 1,331
Own Kudos:
771
 [1]
Given Kudos: 1,656
Posts: 1,331
Kudos: 771
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
there are 4 categories that are completely exhaustive of every possibility (assuming that favorable and unfavorable are the only ways to vote)


(1) favorable ONLY A (or flip side is you find only B unfavorable)

(2) favorable ONLY B (or flip side is you find only A unfavorable)

(3) favorable BOTH A and B

(4) unfavorable both A and B


Let total # of registered voters = 100

4 categories sum to 100 registered voters

(1) + (2) + (3) + (4) = 100

35% of 100 registered voters = category (4) unfavorable A and B ——> (4) = 35

20% of 100 registered voters = category (1) find ONLY A favorable ——> (1) = 20


20 + (2) + (3) + 35 = 100

(Category 2) + (category 3) = 45

45% of 100 registered fall under either category (2) or (3) ——> 45 registered voters either:

Find ONLY B favorable

OR

Find BOTH A and B favorable


Ratio of:

favorable BOTH : favorable ONLY B = 1k : 2k


1k + 2k = 45 voters

3k = 45 ——-> k = 15

# of registered voters who find BOTH A and B favorable = 15

Total # of registered voters = assumed to be 100

Answer: 15/100 = 15%

A

Posted from my mobile device
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
109766 posts
Tuck School Moderator
853 posts