collection of tough problems from G PREP - 17

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Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?

1) 38 of the houses in the community have a patio but do not have a swimming pool.

2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.
Source: — Data Sufficiency |

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by harsh.champ » Sat Feb 06, 2010 6:13 am
abhasjha wrote:Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?

1) 38 of the houses in the community have a patio but do not have a swimming pool.

2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.
Again,a question of Venn diagram.

IMO C.

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