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In a certain school district, math teachers are considered qualified

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Tuck School Moderator
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In a certain school district, math teachers are considered qualified  [#permalink]

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New post 13 Feb 2019, 09:17
4
00:00
A
B
C
D
E

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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Re: In a certain school district, math teachers are considered qualified  [#permalink]

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New post 13 Feb 2019, 11:22
IMO B.
Statement 2 is sufficient
Statement 1 is not
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Re: In a certain school district, math teachers are considered qualified  [#permalink]

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New post 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)
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Re: In a certain school district, math teachers are considered qualified  [#permalink]

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New post 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
Thus answer D
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Re: In a certain school district, math teachers are considered qualified  [#permalink]

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New post 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.
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Re: In a certain school district, math teachers are considered qualified   [#permalink] 17 Feb 2019, 07:49
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