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In a certain rural town, 250 households contain a dog or a cat or both

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In a certain rural town, 250 households contain a dog or a cat or both  [#permalink]

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16 Feb 2017, 09:56
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Difficulty:

35% (medium)

Question Stats:

75% (01:56) correct 25% (01:40) wrong based on 56 sessions

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In a certain rural town, 250 households contain a dog or a cat or both. How many of these households contain both a dog and a cat if 75 of 250 households do not contain a dog?

(1) 150 of the 250 households do not contain a cat.

(2) The total number of households that contain a cat is 100.

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Re: In a certain rural town, 250 households contain a dog or a cat or both  [#permalink]

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17 Feb 2017, 02:43
Suppose,
households contain only cat = C
households contain only dog = D
households contain both = B

So, A + B + C = 250;
Again, 75 households dont have any dogs; i.e. C = 75;

(1) says 150 households dont have any cats; i.e. D = 150;
Therefore, B = 250 - (150+75) = 25; Hence, Sufficient.

(2) says 100 households have cats; i.e. B + C = 100;
Therefore, B = (100 - 75) = 25; Hence, Sufficient.

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Re: In a certain rural town, 250 households contain a dog or a cat or both &nbs [#permalink] 17 Feb 2017, 02:43
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