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iaratul
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In a country, 65% of male citizen and 68% of female citizen are 26 Sep 2014, 05:12
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55% (hard)

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55% (01:25) correct 45% (01:21) wrong based on 143 sessions

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In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

(1) 65% of eligible male citizens voted.

(2) 68% of eligible female citizens voted.

Show Spoiler
I tried to solve the question like this, and got C, however, the OA states that the answer is E:

Let there be 100 males and 100 females in total
So, there are 65 male voters and 68 female voters

there are 65 + 68 = 133 total voters

Statement 1 says: 65% of eligible male citizens voted, so the number would be 65 * 65/100 ~ 43
Statement 2 says: 68% of eligible female citizens voted, so the number would be 68 * 68/100 ~ 47

Total votes: 43 + 47 = 90
Total Voters: 133

So, percentage of voters voted = 90/133 ~ 68%

The point is, it's possible to calculate the percentage from the given information, however, the OA disagrees. Can someone tell me where I went wrong?

Thanks
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cruiser91
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In a country, 65% of male citizen and 68% of female citizen are 26 Sep 2014, 06:06
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iaratul
In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

1. 65% of eligible male citizens voted.

2. 68% of eligible female citizens voted.

Show Spoiler
I tried to solve the question like this, and got C, however, the OA states that the answer is E:

Let there be 100 males and 100 females in total
So, there are 65 male voters and 68 female voters

there are 65 + 68 = 133 total voters

Statement 1 says: 65% of eligible male citizens voted, so the number would be 65 * 65/100 ~ 43
Statement 2 says: 68% of eligible female citizens voted, so the number would be 68 * 68/100 ~ 47

Total votes: 43 + 47 = 90
Total Voters: 133

So, percentage of voters voted = 90/133 ~ 68%

The point is, it's possible to calculate the percentage from the given information, however, the OA disagrees. Can someone tell me where I went wrong?

Thanks
me too having the same answer
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Bunuel
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In a country, 65% of male citizen and 68% of female citizen are 26 Sep 2014, 07:02
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iaratul
In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

(1) 65% of eligible male citizens voted.

(2) 68% of eligible female citizens voted.

I tried to solve the question like this, and got C, however, the OA states that the answer is E:

Let there be 100 males and 100 females in total
So, there are 65 male voters and 68 female voters

there are 65 + 68 = 133 total voters

Statement 1 says: 65% of eligible male citizens voted, so the number would be 65 * 65/100 ~ 43
Statement 2 says: 68% of eligible female citizens voted, so the number would be 68 * 68/100 ~ 47

Total votes: 43 + 47 = 90
Total Voters: 133

So, percentage of voters voted = 90/133 ~ 68%

The point is, it's possible to calculate the percentage from the given information, however, the OA disagrees. Can someone tell me where I went wrong?

Thanks

In your example you took the ration of male to female to be 1:1, of you take another ration you'll get another final percentage. For example, try males = 100 and females = 200.

Algebraically, you'd have the following:

65% of male citizen are eligible to vote --> 0.65m are eligible to vote;
68% of female citizen are eligible to vote --> 0.68f are eligible to vote.

65% of eligible male citizens voted --> 0.65*(0.65m) voted;
68% of eligible female citizens voted --> 0.68*(0.68f) voted.

Therefore, (voted)/(total) = \(\frac{0.65^2*m+0.68^2*f}{f+m}\). We cannot get the numerical value of this fraction. Not sufficient.

Answer: E.

Hope it's clear.
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In a country, 65% of male citizen and 68% of female citizen are 26 Sep 2014, 11:33
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Bunuel
iaratul
In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

(1) 65% of eligible male citizens voted.

(2) 68% of eligible female citizens voted.

I tried to solve the question like this, and got C, however, the OA states that the answer is E:

Let there be 100 males and 100 females in total
So, there are 65 male voters and 68 female voters

there are 65 + 68 = 133 total voters

Statement 1 says: 65% of eligible male citizens voted, so the number would be 65 * 65/100 ~ 43
Statement 2 says: 68% of eligible female citizens voted, so the number would be 68 * 68/100 ~ 47

Total votes: 43 + 47 = 90
Total Voters: 133

So, percentage of voters voted = 90/133 ~ 68%

The point is, it's possible to calculate the percentage from the given information, however, the OA disagrees. Can someone tell me where I went wrong?

Thanks

In your example you took the ration of male to female to be 1:1, of you take another ration you'll get another final percentage. For example, try males = 100 and females = 200.

Algebraically, you'd have the following:

65% of male citizen are eligible to vote --> 0.65m are eligible to vote;
68% of female citizen are eligible to vote --> 0.68f are eligible to vote.

65% of eligible male citizens voted --> 0.65*(0.65m) voted;
68% of eligible female citizens voted --> 0.68*(0.68f) voted.

Therefore, (voted)/(total) = \(\frac{0.65^2*m+0.68^2*f}{f+m}\). We cannot get the numerical value of this fraction. Not sufficient.

Answer: E.

Hope it's clear.

Brunel, thank you for your clarification. I can't believe I missed something that silly. Anyway, just for future references, in problems such as these, should I try equations instead of picking a smart number?
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In a country, 65% of male citizen and 68% of female citizen are 12 May 2016, 22:12
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Bunuel
iaratul
In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

(1) 65% of eligible male citizens voted.

(2) 68% of eligible female citizens voted.

I tried to solve the question like this, and got C, however, the OA states that the answer is E:

Let there be 100 males and 100 females in total
So, there are 65 male voters and 68 female voters

there are 65 + 68 = 133 total voters

Statement 1 says: 65% of eligible male citizens voted, so the number would be 65 * 65/100 ~ 43
Statement 2 says: 68% of eligible female citizens voted, so the number would be 68 * 68/100 ~ 47

Total votes: 43 + 47 = 90
Total Voters: 133

So, percentage of voters voted = 90/133 ~ 68%

The point is, it's possible to calculate the percentage from the given information, however, the OA disagrees. Can someone tell me where I went wrong?

Thanks

In your example you took the ration of male to female to be 1:1, of you take another ration you'll get another final percentage. For example, try males = 100 and females = 200.

Algebraically, you'd have the following:

65% of male citizen are eligible to vote --> 0.65m are eligible to vote;
68% of female citizen are eligible to vote --> 0.68f are eligible to vote.

65% of eligible male citizens voted --> 0.65*(0.65m) voted;
68% of eligible female citizens voted --> 0.68*(0.68f) voted.

Therefore, (voted)/(total) = \(\frac{0.65^2*m+0.68^2*f}{f+m}\). We cannot get the numerical value of this fraction. Not sufficient.

Answer: E.

Hope it's clear.

i think the % of voter voted should be = [m][fraction]0.65^2*m+0.68^2*f/[m][fraction]0.65*m+0.68*f

Please clarify.
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In a country, 65% of male citizen and 68% of female citizen are 12 May 2016, 22:34
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robu
Bunuel
iaratul
In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

(1) 65% of eligible male citizens voted.

(2) 68% of eligible female citizens voted.

I tried to solve the question like this, and got C, however, the OA states that the answer is E:

Let there be 100 males and 100 females in total
So, there are 65 male voters and 68 female voters

there are 65 + 68 = 133 total voters

Statement 1 says: 65% of eligible male citizens voted, so the number would be 65 * 65/100 ~ 43
Statement 2 says: 68% of eligible female citizens voted, so the number would be 68 * 68/100 ~ 47

Total votes: 43 + 47 = 90
Total Voters: 133

So, percentage of voters voted = 90/133 ~ 68%

The point is, it's possible to calculate the percentage from the given information, however, the OA disagrees. Can someone tell me where I went wrong?

Thanks

In your example you took the ration of male to female to be 1:1, of you take another ration you'll get another final percentage. For example, try males = 100 and females = 200.

Algebraically, you'd have the following:

65% of male citizen are eligible to vote --> 0.65m are eligible to vote;
68% of female citizen are eligible to vote --> 0.68f are eligible to vote.

65% of eligible male citizens voted --> 0.65*(0.65m) voted;
68% of eligible female citizens voted --> 0.68*(0.68f) voted.

Therefore, (voted)/(total) = \(\frac{0.65^2*m+0.68^2*f}{f+m}\). We cannot get the numerical value of this fraction. Not sufficient.

Answer: E.

Hope it's clear.

i think the % of voter voted should be = [m][fraction]0.65^2*m+0.68^2*f/[m][fraction]0.65*m+0.68*f

Please clarify.



Hi,

In data sufficiency problems you don't want to go this far. Just realise that we need the ratio of male is to female to proceed... mark and move on... finding answers is a huge wastage of time on ds questions
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In a country, 65% of male citizen and 68% of female citizen are 22 Dec 2016, 01:18
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Had the same doubt when I arrived at C.

Thanks a ton Bunuel for the crisp and clear explanation.
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In a country, 65% of male citizen and 68% of female citizen are 22 Dec 2016, 06:04
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iaratul
In a country, 65% of male citizen and 68% of female citizen are eligible to vote. What percentage of the voters voted during the election?

(1) 65% of eligible male citizens voted.

(2) 68% of eligible female citizens voted.



Let's denote, male citizens by MC, female citizens by FC, ELIGIBLE MALES by MCE & ELIGIBLE FEMALES by FCE.
As per statement:
65% of MC = MCE
68% of FC = FCE
We need to find => % of (MCE+FCE) who voted OUT OF TOTAL VOTERS.

A) 65% of MCE voted => no info about FCE who voted
B) 68% of FCE voted => no info about MCE who voted

A) & B) => Now we have % of (MCE+FCE); however, we don't know TOTAL VOTERS, we only know percentages.

Hence, E :D
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In a country, 65% of male citizen and 68% of female citizen are 06 Sep 2019, 09:28
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