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A university has 2,000 faculty members all of whom have a masters degr

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A university has 2,000 faculty members all of whom have a masters degr  [#permalink]

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New post 10 May 2016, 23:18
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D
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Difficulty:

  25% (medium)

Question Stats:

85% (01:57) correct 15% (01:45) wrong based on 95 sessions

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A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?

(1) 20 percent of the male faculty members have a doctorate.
(2) A total of 1140 faculty members have only a masters degree.

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Re: A university has 2,000 faculty members all of whom have a masters degr  [#permalink]

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New post 11 May 2016, 01:19
2
Given:
MaleFemaleTotal
Masters
Doctoratex
Total13007002000

(x/2000)*100 = ?

St1: 20 percent of the male faculty members have a doctorate. --> Not Sufficient
MaleFemaleTotal
Masters1040
Doctorate260x
Total13007002000


St2: A total of 1140 faculty members have only a masters degree. --> Not Sufficient
MaleFemaleTotal
Masters1140
Doctoratex860
Total13007002000


Combining St1 and St2: (x/2000)*100 = 600/20 = 30%. Sufficient
MaleFemaleTotal
Masters10401001140
Doctorate260x = 600860
Total13007002000


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Re: A university has 2,000 faculty members all of whom have a masters degr  [#permalink]

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New post 07 Nov 2017, 10:11
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Re: A university has 2,000 faculty members all of whom have a masters degr &nbs [#permalink] 07 Nov 2017, 10:11
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