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bblast: Legendary Member; Posts: 1077; Joined: Mon Dec 13, 2010 1:44 amFollowed by: 33 members; Thanked: 118 times; GMAT Score:710

by bblast » Tue May 31, 2011 9:38 am

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 the 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

D

solution by 2 set ,matrix please

sample matrix for copy paste..

---------d-----notd---total
----c----X-----__-----100
---notc--__----__-----150
---total-175---75-----250

how do we find X here with the statements?

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Source: Beat The GMAT — Data Sufficiency | Tue May 31, 2011 9:38 am

hardikm: Senior | Next Rank: 100 Posts; Posts: 64; Joined: Mon Apr 27, 2009 2:52 pmFollowed by: 1 member; Location: Dallas; Thanked: 10 times

by hardikm » Tue May 31, 2011 9:51 am

Pretty Straight forward. Please note in the question that No cat and No Dog = 0
Substitute it in your table and you will get an answer

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bblast: Legendary Member; Posts: 1077; Joined: Mon Dec 13, 2010 1:44 amFollowed by: 33 members; Thanked: 118 times; GMAT Score:710

by bblast » Tue May 31, 2011 10:19 am

hardikm wrote:Pretty Straight forward. Please note in the question that No cat and No Dog = 0
Substitute it in your table and you will get an answer

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

i think the trick were the words in bold above

OG-12 Q 50 also has the same trick-""how many directors of company K and company R......"
I've erred twice on this now.

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