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# One question a day project CR question No 4 28022014

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Retired Moderator
Status: worked for Kaplan's associates, but now on my own, free and flying
Joined: 19 Feb 2007
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One question a day project CR question No 4 28022014  [#permalink]

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01 Mar 2014, 23:07
3
2
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:32) correct 24% (01:49) wrong based on 221 sessions

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Spokesperson: In the 2006 election of the city mayor, 55% of the voters were female. All the voters were between ages 18 and 70 and 2/3 of them supported the incumbent mayor. The incumbent mayor won the election with a substantially greater number of votes than any other candidate.

If the statements made by the Spokesperson are true, then which of the following must be true?

A. At least half of the female voters supported the incumbent mayor
.
B. The incumbent mayor received stronger support from the female voters than from the male voters.

C. were no other candidates in the election who received more than 30% of all the votes.

D.Less than half of the voters in the election were male and all of them were either 70 years or younger .

E. If the proportion of male and female voters in the city remains the same, the incumbent mayor is also likely to win the next election.

OA: D

OE:

This argument essentially asks us to find a conclusion that must be true based on the facts presented by the spokesperson. When you analyze the answer choices, remember that the correct answer to questions of this type must be the claim that does not require any additional assumptions.

(A) This statement does not have to be true, since the female voters represented only slightly more than a half of the electorate. For example, the mayor would be able to receive 2/3 of all voters if he received all the votes of the male voters (i.e. 45%) and just some substantial portion of the female voters (say 40%).

(B) This statement does not have to be true. For example, the incumbent mayor could have received the vast majority of the male votes and a smaller share of the female votes.

(C) Since the incumbent mayor received 2/3 (i.e. approximately 67%) of the votes, the maximum number of votes received by any other candidate could have been around 33%, which is still substantially less than the number of votes received by the incumbent mayor. Since we do not know how many candidates participated in the election and the proportion of votes received by each candidate, we cannot conclude that no other candidate received more than 30% of all votes.

(D) CORRECT. Since 55% of the voters were female, the remaining 45% were male; also, since all the voters were between ages 18 and 70, no voters, either male or female, could have been more than 70 .

(E) Even if the proportion of the male and female voters remains the same, their preferences may change substantially and there is no guarantee that they will vote in the same way in the next election.

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Re: One question a day project CR question No 4 28022014  [#permalink]

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02 Mar 2014, 00:10
A little arithmetic will do the trick here.
Let total voters=100
Females=55;Males=45
Supported=67;Didnt support=33

Option A.If all males supported,female supporters=67-45=22 not half of 55.Incorrect.

Option B.the above case can prove this point also;males=45;females=22.Incorrect.
C-what if there were only 2 candidates and the other recd.the rest ie 33?

D-given in the stem itself.Correct.

E-nothing about the future can be absolutely true.

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One question a day project CR question No 4 28022014  [#permalink]

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18 Nov 2017, 13:33
yes, OA is D b/c using POE, D is left.
This man is a retired gmat counselor who worked at Kaplan many years ago. This time, I have no idea why the expert posts a question whose source is unclear.
Anyway, I still appreciate his effort in explaining the solution in detail.

Test takers can learn much from this expert.
One question a day project CR question No 4 28022014 &nbs [#permalink] 18 Nov 2017, 13:33
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