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saswata4s
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GMAT 1: 730 Q49 V41
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In a certain group of women, 70 percent of the women were employed 03 Jan 2018, 09:00
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Difficulty:

95% (hard)

Question Stats:

30% (02:45) correct 70% (02:50) wrong based on 20 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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In a certain group of women, 70 percent of the women were employed 03 Jan 2018, 12:14
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saswata4s
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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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



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