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In the county of Veenapaniville, there are a total of 50

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Magoosh GMAT Instructor
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In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 27 Aug 2012, 22:07
4
8
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (02:21) correct 15% (02:34) wrong based on 164 sessions

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In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?

A. 2
B. 3
C. 4
D. 5
E. 6

For full solution, see this blog.

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Re: three types of schools in three districts  [#permalink]

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New post 28 Aug 2012, 00:54
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Answer is A

District A has 18 high schools total. District B has 17 high schools total (2 Private Independent School). So, total is 35 Schools

Therefore, District C Has 15 Schools and District C has an equal number of each of the three kinds of schools So, 5 Schools of each kind.

Hence, 2 Private Independent School in District B and 5 Private Independent School in District B = 7 Private Independent School

Total Private Independent School is 9.

Private Independent School is District A is 9-7 = 2
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Re: In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 29 Aug 2012, 23:03
1
Total Private Schools = 9

Dist A: High Schools = 18 ==> Private Schools = ?
Dist B: High Schools = 17 ==> Private Schools = 2
Dist C: High Schools = 15 ==> Private Schools = 5

Therefore, 9 - 2 - 5 ==> 2

A is the Answer. Fairly easy question.
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Re: In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 30 Aug 2012, 20:37
can double matrix be employed here to solve the problem
though i have seen it save time on problems i a not sure where exactly doed it work

please suggest me if its possible
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Re: In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 30 Aug 2012, 22:23
mohan514 wrote:
can double matrix be employed here to solve the problem
though i have seen it save time on problems i a not sure where exactly doed it work

please suggest me if its possible


You can certainly use double matrix in this question though I doubt its time saving ability in this question.
Make something like this:

......................A...........B...........C.........Total
Public
Parochial
Private
............................................................50

Now put the numbers in.

That said, the question is quite straight forward. All you need to do is focus on what you need. You need to find the number of private schools in A. Total no. of private schools is 9 and in B, you have 2 of them. So there are 7 private schools distributed between A and C. All you need to find is the number of private schools in C to get the number of private schools in A. What is given to you about C? C has an equal number of each of the three kinds of schools. Total number of schools in C = 50 - (18 + 17) = 15. So no. of private schools in C = 15/3 = 5
Therefore, A must have 7 - 5 = 2 private schools.
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Re: In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 18 Aug 2013, 08:42
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Solution Attached !!!
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SOLU.JPG [ 20.39 KiB | Viewed 3418 times ]

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Re: In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 18 Aug 2013, 13:05
mikemcgarry wrote:
In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?

A. 2
B. 3
C. 4
D. 5
E. 6

For full solution, see this blog.


A( 18) B(15+2) C (15= 5+5+5)

9-7 = 2 independent high school in A
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Re: In the county of Veenapaniville, there are a total of 50  [#permalink]

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New post 10 Apr 2019, 06:51
How the hell is this a 600 lvl problem!?
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Re: In the county of Veenapaniville, there are a total of 50   [#permalink] 10 Apr 2019, 06:51
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In the county of Veenapaniville, there are a total of 50

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