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# In a certain school district, math teachers are considered qualified

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Tuck School Moderator
Status: Valar Dohaeris
Joined: 31 Aug 2016
Posts: 301
GMAT 1: 700 Q49 V37
In a certain school district, math teachers are considered qualified  [#permalink]

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13 Feb 2019, 09:17
4
00:00

Difficulty:

55% (hard)

Question Stats:

62% (02:22) correct 38% (02:43) wrong based on 60 sessions

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In a certain school district, math teachers are considered qualified if they have either a math degree or a teaching credential in math. If 5% of math teachers have both a math degree and a teaching credential in math, what percentage of math teachers are considered qualified?

(1) Fifteen percent of math teachers lack a teaching credential in math, and 90% lack a math degree.

(2) Eighty percent of math teachers have a teaching credential in math but not a math degree, and 5% have a math degree but not a teaching credential.

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Current Student
Joined: 08 Oct 2016
Posts: 40
Location: India
GMAT 1: 740 Q50 V41
GPA: 3.19
Re: In a certain school district, math teachers are considered qualified  [#permalink]

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13 Feb 2019, 11:22
IMO B.
Statement 2 is sufficient
Statement 1 is not
Intern
Joined: 02 Sep 2018
Posts: 1
Re: In a certain school district, math teachers are considered qualified  [#permalink]

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13 Feb 2019, 18:57
2
IMO) D

Need to find number of math teachers who only have degree, only have credential, or both.
Say there are 100 math teachers.
5 of the math teachers have both math degree and a teaching credential.

1) 15 math teacher lack credential => 85 math teachers have credential
90 math teachers lack degree => 10 math teachers have degree
-> To avoid double counting, subtract teachers who have both: 85+10-5 = 90 (sufficient)

2) 80 math teachers only have credential
5 math teachers only have degree
-> 80(only credential) + 5(only degree) + 5(both) = 90 (sufficient)
Director
Joined: 28 Jul 2016
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Concentration: Finance, Human Resources
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Re: In a certain school district, math teachers are considered qualified  [#permalink]

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16 Feb 2019, 01:54
option 1
gives a break up of 80+5+5 =90 hence sufficient
option 2 again gives the same equation . sufficient
Manager
Joined: 01 Nov 2018
Posts: 81
GMAT 1: 690 Q48 V35
GPA: 3.88
Re: In a certain school district, math teachers are considered qualified  [#permalink]

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17 Feb 2019, 07:49
Took almost 3 min but these are must have questions for those aiming for Q47+. As long as you stay organized, you can get D as the correct answer. Creating a 2 by 2 box will show that A provides enough info to calculate MD+TD. Similarly, B provides the parts that you just solved in A. Hence, both statements are sufficient.
Re: In a certain school district, math teachers are considered qualified   [#permalink] 17 Feb 2019, 07:49
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