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OVERLAPPING SETS- matrix method please.

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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 ?
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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?
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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
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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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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 ? :oops:
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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
Cheers !!

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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
Cheers !!

Quant 47-Striving for 50
Verbal 34-Striving for 40

My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
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