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# What is the proportion of women in Austria? (I) Number of

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Manager
Joined: 30 Nov 2010
Posts: 212
Schools: UC Berkley, UCLA
What is the proportion of women in Austria? (I) Number of  [#permalink]

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04 Feb 2011, 10:32
1
00:00

Difficulty:

35% (medium)

Question Stats:

57% (01:00) correct 43% (01:12) wrong based on 44 sessions

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What is the proportion of women in Austria?
(I) Number of men in Austria is 5% more than the number of women
(II) Austria's population is 5% more than that of one of its neighboring countries, where women are 52% of the population.

(A) Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient

(B) Statement (II) ALONE is sufficient, but statement (I) is not sufficient

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient

(D) Each statement ALONE is sufficient

(E) Statements (I) and (II) TOGETHER are NOT sufficient

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Re: Proportion of Women in Austria  [#permalink]

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04 Feb 2011, 20:21
2
Question: Proportion of women in Austria = ?

Statement 1:
Let the number of women be 'x'
The number of men = 1.05x [5% more]

Total Population = No. of men + No. of Women = x + 1.05x = 2.05x

Proportion of women = No. of Women/Total Population = x/2.05x = 1/2.05

SUFFICIENT

Statement 2:
Let the population of Neighbouring Country be 'x'
Therefore, Population of Austria is 1.05x

Given: Population of women in Neighbouring country = 0.52x

Now all we know is that the total population of Austria is 5% more than that of the neighbouring country.
We do not know the proportion of women in Austria.

e.g. Let the population of the Neighbouring Country = 100
Thus, Population of Austria is 105

Number of women in Neighbouring Country = 52

So what does that tell us about the number of women in Austria? NOTHING!

NOT SUFFICIENT!

ANS: 'A'
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Manager
Joined: 30 Nov 2010
Posts: 212
Schools: UC Berkley, UCLA
Re: Proportion of Women in Austria  [#permalink]

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05 Feb 2011, 09:00
AmrithS wrote:
Question: Proportion of women in Austria = ?

Statement 1:
Let the number of women be 'x'
The number of men = 1.05x [5% more]

Total Population = No. of men + No. of Women = x + 1.05x = 2.05x

Proportion of women = No. of Women/Total Population = x/2.05x = 1/2.05

SUFFICIENT

Statement 2:
Let the population of Neighbouring Country be 'x'
Therefore, Population of Austria is 1.05x

Given: Population of women in Neighbouring country = 0.52x

Now all we know is that the total population of Austria is 5% more than that of the neighbouring country.
We do not know the proportion of women in Austria.

e.g. Let the population of the Neighbouring Country = 100
Thus, Population of Austria is 105

Number of women in Neighbouring Country = 52

So what does that tell us about the number of women in Austria? NOTHING!

NOT SUFFICIENT!

ANS: 'A'

Thank you Amrith! If I put a bit more thought into it I'm sure I would have gotten that q correct... Unfortunately we're all not given the gift of time in the GMAT
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Joined: 27 Oct 2010
Posts: 111
Re: Proportion of Women in Austria  [#permalink]

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06 Feb 2011, 12:46
1) m = 1.05 w
Proportion = w/(m+w) = w/(1.05w+w) = 1/2.05
Suff.
2) Not suff.
A
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Posts: 9832
Re: What is the proportion of women in Austria? (I) Number of  [#permalink]

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26 Jan 2019, 12:36
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Re: What is the proportion of women in Austria? (I) Number of   [#permalink] 26 Jan 2019, 12:36
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