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# Paracelsus University has two kinds of professors, academic professors

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Manager
Joined: 23 Dec 2011
Posts: 67
Paracelsus University has two kinds of professors, academic professors  [#permalink]

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01 Aug 2019, 20:47
5
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:52) correct 33% (03:06) wrong based on 60 sessions

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Paracelsus University has two kinds of professors, academic professors and professional professors. At Paracelsus University, 60% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured?
A. 25
B. 37.5
C. 50
D. 62.5
E. 75
Senior Manager
Joined: 31 May 2018
Posts: 432
Location: United States
Concentration: Finance, Marketing
Paracelsus University has two kinds of professors, academic professors  [#permalink]

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02 Aug 2019, 03:36
tenured professor= 70
academic professor= 60

If 90% of the professors at Paracelsus University are academic professors or tenured or both

then the professional non-tenured = 10

E is the answer
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Intern
Joined: 14 Jan 2020
Posts: 1
Re: Paracelsus University has two kinds of professors, academic professors  [#permalink]

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06 Mar 2020, 03:01
Please describe the problem further- I am facing difficulties solving the problem.

Please suggest some theories to get some basic information about the problems

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 64176
Re: Paracelsus University has two kinds of professors, academic professors  [#permalink]

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06 Mar 2020, 03:03
mosshiur wrote:
Please describe the problem further- I am facing difficulties solving the problem.

Please suggest some theories to get some basic information about the problems

Posted from my mobile device

19. Overlapping Sets

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Manager
Joined: 30 Jun 2019
Posts: 209
Re: Paracelsus University has two kinds of professors, academic professors  [#permalink]

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14 Mar 2020, 18:09
100 professors
60 are academic, 40 professional
70 tenured, 30 not tenured

90 are Academic, or tenured, or both
90 = A + T - ANT
ANT = Academic and Tenured = 40

70 total Tenured - 40 Academic and Tenured = 30 professional tenured

40 professional - 30 professional = 10 professional

the trick here is to recognize what the question is asking.
It wants the subset percentage of the professionals who are tenured

total professionals = 40
total professionals tenured = 30

30/40 = 3/4 = 75%
Re: Paracelsus University has two kinds of professors, academic professors   [#permalink] 14 Mar 2020, 18:09

# Paracelsus University has two kinds of professors, academic professors

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