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A polling company found that, of 400 people polled, 180 did not have a
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18 Aug 2021, 05:09
18 Aug 2021, 05:09
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Question Stats:
71% (01:25) correct
28% (01:57) wrong based on 14 sessions
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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
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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.
