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Each vote in a certain election went to one of the two candidates, x
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04 Jun 2014, 22:10
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Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?
(1) Candidate X received 50% cast by men (2) Candidate Y received 60% cast by women
Re: Each vote in a certain election went to one of the two candidates, x
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04 Jun 2014, 22:16
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We already know how many how many men voted for X. to get the total votes of X we need 'how many women voted for X
St1: Does not tell how many women voted for X St2: If 483 women is 60% of total women then total no. of women voters: 483/0.6. If we subtract 483 from this we will get no. of women who voted for X. SUFF Ans: B _________________
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Re: Each vote in a certain election went to one of the two candidates, x
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04 Jun 2014, 22:20
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MensaNumber wrote:
Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?
1) Candidate X received 50% cast by men 2) Candidate Y received 60% cast by women
Kudos if you liked the question and would like me to discuss more such official questions
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Refer to the table above, We need to find x here
St 1 gives us a= 0.5* (624+a)....Not sufficient as we need to find b to get our answer.
St 2 gives us that 483= 0.6*(483+b)....We can find b and hence x. Sufficient
Ans is B _________________
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Re: Each vote in a certain election went to one of the two candidates, x
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14 Sep 2014, 12:36
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It appears language in statement 1 and 2 is altered: following is another version of this question with unambiguous statements. 1) Candidate X received 50% cast by men -- It can be interpreted as 50% of votes X received were from man. therefore male votes = female votes = 483. --- stmt 1 is sufficient with this interpretation. 2) Candidate Y received 60% cast by women
Each of people voted once in an election, X got 483 from male voters, Y got 433 from female voters. How many votes did X get? 1) X got votes from 50% of male voters 2) Y got votes from 60% of female voters
Re: Each vote in a certain election went to one of the two candidates, x
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14 Sep 2014, 16:44
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Expert Reply
MensaNumber wrote:
Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?
1) Candidate X received 50% cast by men 2) Candidate Y received 60% cast by women
Kudos if you liked the question and would like me to discuss more such official questions
Re: Each vote in a certain election went to one of the two candidates, x
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16 May 2018, 04:33
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NoHalfMeasures wrote:
Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?
1) Candidate X received 50% cast by men 2) Candidate Y received 60% cast by women
We can use the Double Matrix Method here to help us arrange our information. The Double Matrix can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of voters, and the two characteristics are: - male or female - voted for X or voted for Y
So, we can set up out diagram as follows:
X got 483 from male voters, Y got 433 from female voters. We can add that information as follows:
Target question:How many votes did X get? Notice that the two blue boxes represent the males and females who voted for X. So, our goal here is to find the sum of these two boxes.
Statement 1: X got votes from 50% of male voters The two highlighted boxes represent the male voters. If 50% of them voted for X, then the other 50% voted for Y.
So, 483 of the males also voted for Y...
We can now see that we don't have enough information to find the sum of the values in the 2 blue boxes
As such, statement 1 is NOT SUFFICIENT
Statement 2: Y got votes from 60% of female voters The two highlighted boxes represent the female voters. Let's let F = the total number of female voters. If 60% of the females voted for Y, then we can write 0.6F = 433 If we wanted to, we COULD solve this equation for F, at which point we COULD ALSO determine the number of females who voted for X. Since we COULD determine the number of females who voted for X, then we COULD ALSO find the total number of people who voted for X Since we could easily answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
To learn more about the Double Matrix Method, watch this video:
Re: Each vote in a certain election went to one of the two candidates, x
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17 May 2018, 17:13
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Expert Reply
NoHalfMeasures wrote:
Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?
1) Candidate X received 50% cast by men 2) Candidate Y received 60% cast by women
We are given that Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. We need to determine the number of votes X received.
Statement One Alone:
Candidate X received 50% cast by men.
We can create the equation:
624 = 0.5m
1,248 = m
So we see that the total votes cast by men was 1,248. However, since we don’t know the number of votes he received from women, we cannot determine the total number of votes X received.
Statement Two Alone:
Candidate Y received 60% cast by women.
We can create the equation:
483 = 0.6w
805 = w
So we see that the total votes cast by women was 805, so we see that X received 805 - 463 = 342 votes from women. Therefore, X received a total of 624 + 342 = 966 votes.
Re: Each vote in a certain election went to one of the two candidates, x
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19 Nov 2020, 08:43
NoHalfMeasures wrote:
Each vote in a certain election went to one of the two candidates, x or y. Candidate X received 624 votes cast by men and candidate Y received 483 votes cast by women. How many votes did X receive?
(1) Candidate X received 50% cast by men (2) Candidate Y received 60% cast by women
(1) This means 624 votes cast by men voted for women. Y = 483 + 624. However we can't determine the votes Candidate X received.
(2) If Candidate Y received 60% of votes cast by women, then 40% of women voted for for Candidate X. We can determine the total votes Candidate X received. SUFFICIENT.
Answer is B. _________________
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