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Bunuel
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Bunuel
In a company of 300 employees, 120 are females. A total of 200 employees have advanced degrees, and the rest have a college degree only. If 80 employees are males with college degree only, how many are females with advanced degrees?

A. 60
B. 80
C. 100
D. 120
E. 160

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MAGOOSH OFFICIAL SOLUTION:

This problem is handled best with a double-matrix solution.
Attachment:
gpp-se_img4.png
gpp-se_img4.png [ 6.29 KiB | Viewed 6368 times ]

Because there are 120 females, we know the rest are males. Because there are 200 with advanced degrees, we know there are 100 with college degrees only.
Attachment:
gpp-se_img5.png
gpp-se_img5.png [ 6.33 KiB | Viewed 6346 times ]

At this point, we could go either way: we could figure out all the numbers in the “college” row or all the numbers in the “male” column.
Attachment:
gpp-se_img6.png
gpp-se_img6.png [ 6.61 KiB | Viewed 6325 times ]

Either way, it is easy to fill in the last box:
Attachment:
gpp-se_img7.png
gpp-se_img7.png [ 6.77 KiB | Viewed 6295 times ]

Thus, there are 100 employees who are females with advanced degrees.

Answer = (C).
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PareshGMAT's reply uses the method taught in Manhattan GMAT books. I find this method very useful for such cases (even better than venn diagram's). i highly recommend implementing this method for such problems.
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Bunuel
In a company of 300 employees, 120 are females. A total of 200 employees have advanced degrees, and the rest have a college degree only. If 80 employees are males with college degree only, how many are females with advanced degrees?

A. 60
B. 80
C. 100
D. 120
E. 160

Kudos for a correct solution.
Solution:

Since there are 120 female employees, there are 300 - 120 = 180 male employees. Since there are 80 male employees with college degrees only, there are 180 - 80 = 100 male employees with advanced degrees. Finally since 200 employees have advanced degrees, there are 200 - 100 = 100 female employees with advanced degrees.

Answer: C
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