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How to set up the Double matrix for this ? I get confused

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How to set up the Double matrix for this ? I get confused [#permalink]

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New post 28 Sep 2008, 00:22
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How to set up the Double matrix for this ? I get confused with which term to fill in which column.

Please see the problem and help me identify the terms which i should fill in the boxes A,B,X and Y.

Of 28 people in the park, 12 are Children and the rest are adults. 8 have to leave at 3 pm; rest do not. If after 3 pm, there are 6 children still in the park, how many adults are still in the park?
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Double Matrix.jpg
Double Matrix.jpg [ 14.62 KiB | Viewed 1261 times ]


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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 03:18
I have tried in the attachment.
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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 12:11
amitdgr wrote:
How to set up the Double matrix for this ? I get confused with which term to fill in which column.

Please see the problem and help me identify the terms which i should fill in the boxes A,B,X and Y.

Of 28 people in the park, 12 are Children and the rest are adults. 8 have to leave at 3 pm; rest do not. If after 3 pm, there are 6 children still in the park, how many adults are still in the park?


I am big fan of the matrix. But I do not see any reason why we need to set up a matrix to solve this. I agree that matrix helps, but this problem was pretty straight forward.

That said, I always look for terms in such a way that one is the negation of the other. We need to find events X and !X. Here the point that some one is not a C is that some one is A. It probably is not as open in other problems which say eats lima beans and do not eat lima beans

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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 16:09
hope this tactics can help:

1 first u fill for totals starting from grand total 28 in our case

2 then fill other two totals on the sides

3 then plug in the trigger and just to the operations to fill the blanks w numbers


I got 14
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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 17:51
even i got 14 as answer.

child <= 3 pm = 6 ..(12-6=6).............eq1

child > 3 pm = 6 (given)

Adult <= 3 pm = 2 (6 +x= 8)

Adult > 3 pm = 14 (28-8 =20 , eq1)6+y =20 , so y = 14)

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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 20:59
Thank you guys. The answer for the problem I posted above is 14.

Should we use the Double Matrix method with the following problem? Is there a better way of solving this problem?

There are 58 vehicles in a parking lot. 24 are trucks, 30 are cars, and the rest are vans. 20 Vehicles are red, 16 are blue, and the rest are green. if there are 12 red trucks in the parking lot, 5 blue trucks, 4 red cars, What is the largest possible number of blue cars in the parking lot?


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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 21:51
11 blue car and 15 green car

am i right?

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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 28 Sep 2008, 21:55
24 30 4
12 4 4 20 Red
5 11 0 16 Blue
7 15 0 22 Green

hope you are clear with breakup

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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 29 Sep 2008, 23:00
icandy wrote:
amitdgr wrote:
How to set up the Double matrix for this ? I get confused with which term to fill in which column.

Please see the problem and help me identify the terms which i should fill in the boxes A,B,X and Y.

Of 28 people in the park, 12 are Children and the rest are adults. 8 have to leave at 3 pm; rest do not. If after 3 pm, there are 6 children still in the park, how many adults are still in the park?


I am big fan of the matrix. But I do not see any reason why we need to set up a matrix to solve this. I agree that matrix helps, but this problem was pretty straight forward.

That said, I always look for terms in such a way that one is the negation of the other. We need to find events X and !X. Here the point that some one is not a C is that some one is A. It probably is not as open in other problems which say eats lima beans and do not eat lima beans


icandy, I agree. I think, I just tried with what amitdgr had posted in the question.

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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 30 Sep 2008, 00:32
This problem can be solved very easily using matrix method. I got answer as 11.Find the solution in attachment
amitdgr wrote:
Thank you guys. The answer for the problem I posted above is 14.

Should we use the Double Matrix method with the following problem? Is there a better way of solving this problem?

There are 58 vehicles in a parking lot. 24 are trucks, 30 are cars, and the rest are vans. 20 Vehicles are red, 16 are blue, and the rest are green. if there are 12 red trucks in the parking lot, 5 blue trucks, 4 red cars, What is the largest possible number of blue cars in the parking lot?


Thanks

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matrix.jpg
matrix.jpg [ 18.05 KiB | Viewed 1159 times ]

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Re: MGMAT - OVERLAPPING SETS [#permalink]

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New post 30 Sep 2008, 04:20
ritula wrote:
This problem can be solved very easily using matrix method. I got answer as 11.Find the solution in attachment
amitdgr wrote:
Thank you guys. The answer for the problem I posted above is 14.

Should we use the Double Matrix method with the following problem? Is there a better way of solving this problem?

There are 58 vehicles in a parking lot. 24 are trucks, 30 are cars, and the rest are vans. 20 Vehicles are red, 16 are blue, and the rest are green. if there are 12 red trucks in the parking lot, 5 blue trucks, 4 red cars, What is the largest possible number of blue cars in the parking lot?


Thanks


The answer is 11 :)
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Re: MGMAT - OVERLAPPING SETS   [#permalink] 30 Sep 2008, 04:20
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How to set up the Double matrix for this ? I get confused

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