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The town rules in Kid-Town require each house to have at

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Director
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The town rules in Kid-Town require each house to have at [#permalink] New post 15 Sep 2004, 08:06
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A
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C
D
E

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22. The town rules in Kid-Town require each house to have at least a ping-pong table or a soccer-table. If there are 50 houses in Kid-Town, how many houses carry both types of tables?

(1) The number of houses that have a ping-pong table only is 20.

(2) The number of houses that have a soccer table is 40.
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 [#permalink] New post 15 Sep 2004, 09:15
C

As all the houses should have at least one of the tables, the answer should be 10.
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 [#permalink] New post 15 Sep 2004, 10:39
Guys have a look at first statement carefully. It says Ping pong 'only' I will post the answer later which I am not convinced of- that might be wrong.
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 [#permalink] New post 15 Sep 2004, 13:01
I would say E

20 + 35 - 5 = 50
20 + 40 - 10 = 50

Please correct me if I am wrong.

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Alex
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 [#permalink] New post 15 Sep 2004, 13:19
I was surprised everyone picked C. It seems to me that this is an impossible question. If 20 have "only" ping-pong tables and 40 soccer tables, this means that, with no overlapping, the population will be at least 60 houses. Even with 60 houses, there will be no houses having both tables
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 [#permalink] New post 15 Sep 2004, 13:51
Yes, this question was still in my mind, because my previous post is absolutely wrong.

I figured my problem by using an venn diagram and calculation. They each seraparately give an different value for both ping pong and football.

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 [#permalink] New post 15 Sep 2004, 15:15
This Q is not correct
If X be num of fam having both pingpng+soccer

Then
Tot num of fam = num ping + num soc - ping and soc
= (20+x) + 40 - x = 60 <> 50!!!
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 [#permalink] New post 16 Sep 2004, 07:39
I choose E.
We know that there are exactly 20 ping pong tables alone, maybe more including double equipment.
So that there are at least and no more than 30 soccer tables, 40 in the stem...
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 [#permalink] New post 17 Sep 2004, 00:55
Hi all
Here is the answer. can soemone explain this to me or this question is incorrect.

The best answer is E.
Pay attention to the statements, (1) gives you the exact number of houses who have a ping-pong table only as opposed to the other statement, which tells you that 40 houses have a soccer-table.
There are two possible answers to the question: there are (40 + 20 – 50 = 10) houses with both tables in them or there are 20 houses (the size of the small group).
The answer is not distinct and therefore more sufficient data is required.
  [#permalink] 17 Sep 2004, 00:55
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