GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A polling company found that, of 400 people polled, 180 did not have a
[#permalink]
18 Aug 2021, 05:09
18 Aug 2021, 05:09
Expert Reply
1
Bookmarks
00:00
Question Stats:
71% (01:25) correct
28% (01:57) wrong based on 14 sessions
Hide Show timer Statistics
A polling company found that, of 400 people polled, 180 did not have a positive impression of either Candidate A or Candidate B, 100 had a positive impression of Candidate A but did not have a positive impression of Candidate B, and for every person who had a positive impression of both candidates, 2 had a positive impression of Candidate B but did not have a positive impression of Candidate A. How many of the 400 people polled had a positive impression of both candidates?
(A) 20
(B) 40
(C) 60
(D) 80
(E) 100
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) 20
(B) 40
(C) 60
(D) 80
(E) 100
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: A polling company found that, of 400 people polled, 180 did not have a
[#permalink]
19 Aug 2021, 09:17
19 Aug 2021, 09:17
1
If 180 did not have a positive impression of either candidate, then 400-2*180=40 have positive impression of both candidates
answer is B
answer is B
Carcass wrote:
A polling company found that, of 400 people polled, 180 did not have a positive impression of either Candidate A or Candidate B, 100 had a positive impression of Candidate A but did not have a positive impression of Candidate B, and for every person who had a positive impression of both candidates, 2 had a positive impression of Candidate B but did not have a positive impression of Candidate A. How many of the 400 people polled had a positive impression of both candidates?
(A) 20
(B) 40
(C) 60
(D) 80
(E) 100
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) 20
(B) 40
(C) 60
(D) 80
(E) 100
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Re: A polling company found that, of 400 people polled, 180 did not have a
[#permalink]
19 Aug 2021, 16:09
19 Aug 2021, 16:09
1
400-180 = 220 people had some kind of positive impression.
Now, if x people have a positive impression of both the candidate, then 2x people have a positive impression of candidate B but not on candidate A. If we see mathematically, then 100+x+2x=220, x= 40
So 40 people have a positive impression of both the candidates.
Now, if x people have a positive impression of both the candidate, then 2x people have a positive impression of candidate B but not on candidate A. If we see mathematically, then 100+x+2x=220, x= 40
So 40 people have a positive impression of both the candidates.
