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Did the majority of voters polled claim that they planned to

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Did the majority of voters polled claim that they planned to [#permalink]

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New post 29 Jun 2011, 05:47
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Did the majority of voters polled claim that they planned to vote for candidate Q ?

(1) Of the people polled, those claiming that they planned to vote for candidate Q
outnumbered those who did not by 4 to 1.
(2) In the election, candidate Q received 20,000 votes and candidate P received
15,000 votes.
[Reveal] Spoiler: OA

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Re: A ratio problem, pls help to solve [#permalink]

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New post 29 Jun 2011, 05:50
The answer is A.

(1) Says:

(those claiming that they planned to vote for candidate Q)/(those claiming that they did not plan to vote for candidate Q) = 4/1

Which is Sufficient as we have a definite yes as answer

(2) gives number of people who voted, but there is no information about "claims"

Insufficient.
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Re: Did the majority of voters polled claim that they planned to [#permalink]

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New post 10 May 2016, 10:38
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Re: Did the majority of voters polled claim that they planned to [#permalink]

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New post 10 May 2016, 11:59
Let's write :
q = number of people planning to vote for Q
r = number of people planning to not vote for Q
tot = q+r = number total of people voting

(1) Of the people polled, those claiming that they planned to vote for candidate Q
outnumbered those who did not by 4 to 1.

q/r = 4/1, q=4r
tot = q+r=5r
so, q/tot = 4r/5r = 4/5=80%, which is more than the majority : Sufficient

(2) In the election, candidate Q received 20,000 votes and candidate P received
15,000 votes.

This statement does not clarifies if there are other candidates : not sufficient

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Re: Did the majority of voters polled claim that they planned to   [#permalink] 10 May 2016, 11:59
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