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In a company of 300 employees, 120 are females. A total of 200 employ

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Bunuel
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In a company of 300 employees, 120 are females. A total of 200 employ [#permalink] New post   22 Jan 2015, 07:36
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A
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E

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93% (01:13) correct 7% (01:16) wrong based on 165 sessions
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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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C
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arunreddy1100
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Re: In a company of 300 employees, 120 are females. A total of 200 employ [#permalink] New post   23 Jan 2015, 00:03
C
Total Emp: 300
Female: 200; Male = 100

200 = Advanced degrees
100 = College Degrees

80 - Male college degrees
100- 80 = 20 female college degrees

if 20 Female have college degree then 120-20 = 100 will have advanced degrees.
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Re: In a company of 300 employees, 120 are females. A total of 200 employ [#permalink] New post   23 Jan 2015, 02:02
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Answer = C = 100

Refer diagram below:

Attachment:
matx.png
matx.png [ 3.9 KiB | Viewed 5705 times ]


Given information >> Shaded in Pink

Answer >> Shaded in yellow
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Bunuel
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Re: In a company of 300 employees, 120 are females. A total of 200 employ [#permalink] New post   12 Mar 2015, 06:58
Expert Reply
Bunuel wrote:
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.


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 5466 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 5445 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 5432 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 5409 times ]


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

Answer = (C).
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Re: In a company of 300 employees, 120 are females. A total of 200 employ [#permalink] New post   18 Nov 2016, 11:49
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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Re: In a company of 300 employees, 120 are females. A total of 200 employ [#permalink] New post   17 Feb 2021, 17:26
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Expert Reply
Bunuel wrote:
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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Re: In a company of 300 employees, 120 are females. A total of 200 employ [#permalink]
17 Feb 2021, 17:26
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