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In a certain group of women, 70 percent of the women were employed

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In a certain group of women, 70 percent of the women were employed  [#permalink]

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New post 03 Jan 2018, 09:00
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Difficulty:

  95% (hard)

Question Stats:

21% (01:26) correct 79% (01:18) wrong based on 42 sessions

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In a certain group of women, 70 percent of the women were employed and 25 percent did not have a graduate degree. Which of the following statements cannot be true?

I. No woman in the group who had a graduate degree was unemployed
II. Less than half of the women in the group were employed and had a graduate degree
III. The number of unemployed women with a graduate degree was 50 percent greater than the number of employed women without a graduate degree

A) I only
B) II only
C) III only
D) I and III only
E) II and III only

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Re: In a certain group of women, 70 percent of the women were employed  [#permalink]

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New post 03 Jan 2018, 12:14
saswata4s wrote:
In a certain group of women, 70 percent of the women were employed and 25 percent did not have a graduate degree. Which of the following statements cannot be true?

I. No woman in the group who had a graduate degree was unemployed
II. Less than half of the women in the group were employed and had a graduate degree
III. The number of unemployed women with a graduate degree was 50 percent greater than the number of employed women without a graduate degree

A) I only
B) II only
C) III only
D) I and III only
E) II and III only


Ans - A,

Assuming that only Employed/Unemployed and Degree/No degree classes exist.

70% Unemployed so 30% employed and 75% college degree so 25% no college degree.

1. No woman in the group who had a graduate degree was unemployed
70% unemployed and 75% college degree. We need to exhaust either of the two to prove statement 1 correct. It is not possible to do so at both are more than 50%. So Cannot be true.

2. Less than half of the women in the group were employed and had a graduate degree
Let all the 30% Unemployed have a college degree. So the remaining % of persons with a college degree is 45. Statement 1 can be true.

3. The number of unemployed women with a graduate degree was 50 percent greater than the number of employed women without a graduate degree.
Just try to fit in the above scenario.
Let 10% be employed with no college degree. So 50% higher means 15% are unemployed with a graduate degree.
So remaining,
60% - employed
60% - college degree
15% - unemployed
15% - no college degree
So rest 60% employed and college degree and 15% unemployed and no college degree. So statement 3 can be proved.

Thus Statement A only cannot be proved.

IMO: A

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
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Re: In a certain group of women, 70 percent of the women were employed &nbs [#permalink] 03 Jan 2018, 12:14
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