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The ratio of men to women employed at Company X is m : w and the ratio

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The ratio of men to women employed at Company X is m : w and the ratio [#permalink]

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New post 22 Jan 2018, 23:21
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E

Difficulty:

  65% (hard)

Question Stats:

51% (01:49) correct 49% (01:41) wrong based on 55 sessions

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The ratio of men to women employed at Company X is m : w and the ratio of employees with a bachelors degree to employees with a masters degree is b : n. There are 75 men and 85 employees with masters degrees among the 150 employees at Company X. If all employees at Company X have a degree, which of the following could be the number of women with bachelors degrees?

A. 85
B. 75
C. 66
D. 51
E. It cannot be determined from information given.

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Re: The ratio of men to women employed at Company X is m : w and the ratio [#permalink]

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New post 22 Jan 2018, 23:21
Bunuel wrote:
The ratio of men to women employed at Company X is m : w and the ratio of employees with a bachelors degree to employees with a masters degree is b : n. There are 75 men and 85 employees with masters degrees among the 150 employees at Company X. If all employees at Company X have a degree, which of the following could be the number of women with bachelors degrees?

A. 85
B. 75
C. 66
D. 51
E. It cannot be determined from information given.


Similar question to practice: https://gmatclub.com/forum/the-ratio-of ... 55885.html
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: The ratio of men to women employed at Company X is m : w and the ratio [#permalink]

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New post 23 Jan 2018, 04:19
The answer for this has to be E. It is similar to the question provided for practice with one additional info that all of them have at least one degree. This still does not add any more info about the relation between number of employees with Bachelor/Masters degree and the gender of employees owning them.

So IMO E
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Re: The ratio of men to women employed at Company X is m : w and the ratio [#permalink]

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New post 24 Jan 2018, 10:31
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Bunuel wrote:
The ratio of men to women employed at Company X is m : w and the ratio of employees with a bachelors degree to employees with a masters degree is b : n. There are 75 men and 85 employees with masters degrees among the 150 employees at Company X. If all employees at Company X have a degree, which of the following could be the number of women with bachelors degrees?

A. 85
B. 75
C. 66
D. 51
E. It cannot be determined from information given.


Since there are 75 men, there must be 150 - 75 = 75 women.

There are 85 employees with master’s degrees. If we assume that all 75 men have master’s degrees, this means that there are 10 women who have a master’s degree, leaving 65 women with a bachelor’s degree.

Thus, it is possible for there to be 51 women with a bachelor's degree.

Answer: D
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Re: The ratio of men to women employed at Company X is m : w and the ratio   [#permalink] 24 Jan 2018, 10:31
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