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Of the 4,800 voters who voted for or against Resolution K [#permalink]

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22 Jul 2009, 12:30

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A

B

C

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E

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35% (medium)

Question Stats:

65% (00:56) correct 35% (00:55) wrong based on 418 sessions

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Of the 4,800 voters who voted for or against Resolution K, 1,800 were Democrats, and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K?

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females.

Re: Of 4800 voters who voted for Resolution K, 1800 were [#permalink]

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15 Jan 2012, 12:37

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As rashminet84 correctly mentioned before, C is the correct OA. I was confused as well untill I saw the hint at the exact wording. Moreover, the short answer explanation given in the software tells us also that B can't be correct and hints in this direction.
_________________

Edited the question. Initially crucial part "or against" was omitted.

seofah wrote:

Of the 4,800 voters who voted for or against Resolution K, 1,800 were Democrats, and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K?

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females.

This one is fairly straightforward question. We don't even need matrix/diagram or any calculation.

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K --> no info about female voters. Not sufficient.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females --> no info about how many Democrats/Republicans voted for. Not sufficient.

(1)+(2) From (1) we know how many Democrats/Republicans voted for and from (2) we know what fraction of each of these group were females, thus we can get exact # of females who voted for. Sufficient.

Re: Of the 4,800 voters who voted for or against Resolution K [#permalink]

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10 Nov 2013, 07:40

Hello from the GMAT Club BumpBot!

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Re: Of the 4,800 voters who voted for or against Resolution K [#permalink]

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10 Nov 2013, 18:09

Bunuel wrote:

Edited the question. Initially crucial part "or against" was omitted.

seofah wrote:

Of the 4,800 voters who voted for or against Resolution K, 1,800 were Democrats, and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K?

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females.

This one is fairly straightforward question. We don't even need matrix/diagram or any calculation.

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K --> no info about female voters. Not sufficient.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females --> no info about how many Democrats/Republicans voted for. Not sufficient.

(1)+(2) From (1) we know how many Democrats/Republicans voted for and from (2) we know what fraction of each of these group were females, thus we can get exact # of females who voted for. Sufficient.

Answer: C.

Bunuel,

If required, what is the best way to draw a matrix for this problem?
_________________

Re: Of the 4,800 voters who voted for or against Resolution K [#permalink]

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14 Nov 2013, 00:04

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maaadhu wrote:

Bunuel wrote:

Edited the question. Initially crucial part "or against" was omitted.

seofah wrote:

Of the 4,800 voters who voted for or against Resolution K, 1,800 were Democrats, and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K?

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females.

This one is fairly straightforward question. We don't even need matrix/diagram or any calculation.

(1) 3/4 of the Democrats and 2/3 of the Republicans voted for resolution K --> no info about female voters. Not sufficient.

(2) 1/3 of the Democrats who voted for Resolution K and 1/2 of the Republicans who voted for Resolution K were females --> no info about how many Democrats/Republicans voted for. Not sufficient.

(1)+(2) From (1) we know how many Democrats/Republicans voted for and from (2) we know what fraction of each of these group were females, thus we can get exact # of females who voted for. Sufficient.

Answer: C.

Bunuel,

If required, what is the best way to draw a matrix for this problem?

Hi maaadhu,

I will give it a short

We need to find no. of female voters who voted for Resolution K

Given No. of Voters: 4800 Democrats: 1800 Republicans: 3000

From st 1 we have the following matrix

Matrix St 1 For Against Total Democrats 1350 450 1800 Republicans 2000 1000 3000 Total 3350 1450 4800

Now we can't tell no. of female voters from the above

From St 2, the matrix says

Matrix St 2 Male Female Total Democrats who voted for Res.K 2/3A 1/3A A Republicans who voted for Res. K 1/2B 1/2B B

Where A and B total no. of voters for who voted for Resolution K. for Demo. And Rep. Again we cannot tell no. of Female voters as it will be 1/3A +1/2B

Combining 2 statements, we get value of A and B as 1350 and 2000 from Matrix 1

Matrix 3 Male Female Total Demcrats 900 450 1350 Repulicans 1000 1000 2000 Total who voted 1900 1450 3350

Ans: 1450

Therefore Option C

Apologies if the Matrix is not clear. Please refer to attachment

Re: Of the 4,800 voters who voted for or against Resolution K [#permalink]

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31 Mar 2014, 08:04

Hi All,

For the non-natives just remember that Voted For means in favor of. So just to recap first we were given the total number of voters who voted FOR OR AGAINST resolution for each party.

Statement 1 tells us nothing about the sex of these voters but we know the proportion of those who voted IN FAVOR. Statement 2 tells us that of those that voted in favor a fraction were female for each party.

Therefore with both statements together we can calculate the total number of females who voted for resolution K.

Re: Of the 4,800 voters who voted for or against Resolution K [#permalink]

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27 Jun 2016, 23:21

Hello from the GMAT Club BumpBot!

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Re: Of the 4,800 voters who voted for or against Resolution K [#permalink]

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17 Aug 2017, 08:41

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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