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

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
A university has 2,000 faculty members all of whom have a masters degr  [#permalink]

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10 May 2016, 23:18
2
1
00:00

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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11 May 2016, 01:19
2
Given:
 Male Female Total Masters Doctorate x Total 1300 700 2000

(x/2000)*100 = ?

St1: 20 percent of the male faculty members have a doctorate. --> Not Sufficient
 Male Female Total Masters 1040 Doctorate 260 x Total 1300 700 2000

St2: A total of 1140 faculty members have only a masters degree. --> Not Sufficient
 Male Female Total Masters 1140 Doctorate x 860 Total 1300 700 2000

Combining St1 and St2: (x/2000)*100 = 600/20 = 30%. Sufficient
 Male Female Total Masters 1040 100 1140 Doctorate 260 x = 600 860 Total 1300 700 2000

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

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07 Nov 2017, 10:11
Hello from the GMAT Club BumpBot!

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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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