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Source: — Data Sufficiency |

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by Rahul@gurome » Tue Aug 17, 2010 4:56 pm
48 houses have a patio implies that 75 - 48 = 27 have no patio.

(1) 38 houses have a patio but no swimming pool so 10 houses have a patio with swimming pool.
But that does not give any info on the houses with out a patio but have a swimming pool.
So, (1) is NOT SUFFICIENT.

(2) Let the no. of houses with patio and swimming pool = x, which is also the no. of houses that have neither swimming pool nor patio. And let y be the total no. of houses with pool.
Then 27 - x houses have no patio but have a pool, which is equal to y - x
27 - x = y - x implies y = 27
27 houses have a swimming pool.
So, (2) is SUFFICIENT.

The correct answer is [spoiler](B)[/spoiler].
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