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Last year, 36 houses in a certain development had roof repairs and 48

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Last year, 36 houses in a certain development had roof repairs and 48  [#permalink]

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New post 08 Oct 2017, 11:36
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Question Stats:

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Last year, 36 houses in a certain development had roof repairs and 48 houses were repainted. If 20 houses in the development had roof repairs but were not repainted last year, how many houses were repainted but did not have roof repairs?

(A) 12
(B) 16
(C) 20
(D) 28
(E) 32
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Re: Last year, 36 houses in a certain development had roof repairs and 48  [#permalink]

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New post 08 Oct 2017, 11:47
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Repaired and not repaired. on one hand

Painted and not painted on the other hand.

Totally repaired 36 and 20 repaired but NOT painted.

48 not repaired.

Now the houses repaired and painted are 16 36 - 2 0=16

48 painted - 16 we do have 32 NOT repaired but painted.

E is the answer
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Last year, 36 houses in a certain development had roof repairs and 48  [#permalink]

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New post 08 Oct 2017, 12:46
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JEKenna wrote:
Last year, 36 houses in a certain development had roof repairs and 48 houses were repainted. If 20 houses in the development had roof repairs but were not repainted last year, how many houses were repainted but did not have roof repairs?

(A) 12
(B) 16
(C) 20
(D) 28
(E) 32



Only A=20
A+common =36
20+common=36

hence,
common=16
B+common=48

Only B=48-16=32
Ans :32
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Re: Last year, 36 houses in a certain development had roof repairs and 48  [#permalink]

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New post 09 Oct 2017, 03:40
JEKenna wrote:
Last year, 36 houses in a certain development had roof repairs and 48 houses were repainted. If 20 houses in the development had roof repairs but were not repainted last year, how many houses were repainted but did not have roof repairs?

(A) 12
(B) 16
(C) 20
(D) 28
(E) 32


Roof Repair = 36 houses
Repainted = 48 houses

No. of houses which had roof repair but not repainted = 20

No. of houses which had both roof repair and repaint = 36-20 = 16

No. of houses which had repaint but not roof repair = 48 -16 = 32

Answer E
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Re: Last year, 36 houses in a certain development had roof repairs and 48  [#permalink]

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New post 12 Oct 2017, 17:59
JEKenna wrote:
Last year, 36 houses in a certain development had roof repairs and 48 houses were repainted. If 20 houses in the development had roof repairs but were not repainted last year, how many houses were repainted but did not have roof repairs?

(A) 12
(B) 16
(C) 20
(D) 28
(E) 32


Since 20 of the houses had roof repairs but were not repainted, 36 - 20 = 16 houses had roof repairs and were repainted.

Since 48 of the houses were repainted and 16 were both repaired and repainted, 48 - 16 = 32 were repainted but had no roof repairs.

Answer: E
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Re: Last year, 36 houses in a certain development had roof repairs and 48  [#permalink]

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New post 28 Oct 2018, 23:53
Roof = 36
Paint = 48

Roof not Paint = Only Roof = 20
We know,
Roof = Only roof + Both
=> 36 = 20 + Both
=> Both = 16
Paint not Roof
= only paint
= Paint - Both
= 48 - 16
= 32

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Re: Last year, 36 houses in a certain development had roof repairs and 48   [#permalink] 28 Oct 2018, 23:53
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