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# Of a faculty of 90 high school teachers, how many have masters degrees

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
Of a faculty of 90 high school teachers, how many have masters degrees  [#permalink]

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10 Apr 2018, 04:44
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:07) correct 14% (01:10) wrong based on 44 sessions

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Of a faculty of 90 high school teachers, how many have masters degrees?

(1) The number of teachers on the faculty who do not have masters degrees is 1/5 the number who do have masters degrees.
(2) The number of teachers on the faculty who have masters degrees is 60 more than the number who do not have masters degrees.

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Intern
Joined: 31 Jul 2017
Posts: 14
Re: Of a faculty of 90 high school teachers, how many have masters degrees  [#permalink]

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10 Apr 2018, 05:12
1

As both the statements are sufficient individually
option 1-----> Faculty(F)=Non Master's Degree(NMD) + Master's degree (MD)
90=1/5MD+MD
MD = 75
Option 2-----> MD=NMD+60
F=MD + NMD
90= MD + MD -60
150=2MD
MD= 75
Manager
Joined: 04 Jun 2017
Posts: 109
Location: India
Concentration: Strategy, Operations
GMAT 1: 500 Q39 V20
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Re: Of a faculty of 90 high school teachers, how many have masters degrees  [#permalink]

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19 Jun 2019, 10:14
Given High school teacher s= 90
Ques : How many have master degree
1. x + x/5 = 90 , x = 75
2. x + x + 60 = 90, x =15 , + 60 = 75

both sufficient D
Re: Of a faculty of 90 high school teachers, how many have masters degrees   [#permalink] 19 Jun 2019, 10:14
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# Of a faculty of 90 high school teachers, how many have masters degrees

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