OVERLAPPING SETS- matrix method please.

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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 » Thu Jun 09, 2011 6:31 am

In a chain of 40 restaurants, 29 offer lunch menus, and 18 offer dessert menus. How many of the restaurants offer neither a lunch menu nor a dessert menu?

14 of the restaurants offer both a lunch menu and a dessert menu.
33 of the restaurants offer either a lunch menu or a dessert menu or both.

D

Pretty easy question.

But, I had to use venn for statement II. I dont like Venns. Can someone tell me how to put statement II in the matrix ?

Cheers !!

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Source: Beat The GMAT — Data Sufficiency | Thu Jun 09, 2011 6:31 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Thu Jun 09, 2011 6:37 am

Hi,
Statement(2) gives A U B. You are asked to find complement of (A U B). So, why do you need any method to do this. I don't know what you mean by matrix method. Is it the tabular form / grid method?

Cheers!

Things are not what they appear to be... nor are they otherwise

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Thu Jun 09, 2011 6:46 am

Here's the setup with the given information:

____D___~D
_L:_?____?___29
~L:_?____?__11
___18___22

Statement 1: this gives us the value of the top-left box, which allows us to complete the table - SUFF
Statement 2: if 33 restaurants offer either a lunch menu or a dessert menu or both, then the 7 remaining restaurants offer neither lunch nor dessert - SUFF

Note: To learn more about the Double Matrix method, visit: https://www.beatthegmat.com/mba/2011/05/ ... question-1

Brent Hanneson - Creator of GMATPrepNow.com

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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 » Thu Jun 09, 2011 6:48 am

yup its the grid method. I learnt it in Manhattan WP guide and it usually solves all the problems.
I know this is the case of simple AUB but wanna see how this solution would work by the grid method.

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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 » Thu Jun 09, 2011 6:59 am

Brent@GMATPrepNow wrote:Here's the setup with the given information:

____D___~D
_L:_?____?___29
~L:_?____?__11
___18___22

Statement 1: this gives us the value of the top-left box, which allows us to complete the table - SUFF
Statement 2: if 33 restaurants offer either a lunch menu or a dessert menu or both, then the 7 remaining restaurants offer neither lunch nor dessert - SUFF

Note: To learn more about the Double Matrix method, visit: https://www.beatthegmat.com/mba/2011/05/ ... question-1

thanks Brent, but still cant figure where the number 40-33=7 comes in the matrix ?

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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 » Thu Jun 09, 2011 7:02 am

aah !! I think i got it,

statement II says the sum of the ?'s below = 33?

____D___~D
_L:_?____?___29
~L:_?____?__11
___18___22

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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 » Thu Jun 09, 2011 7:02 am

aah !! I think i got it,

statement II says the sum of the ?'s below = 33?

____D___~D
_L:_?____?___29
~L:_?____?__11
___18___22

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