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# Pie, the maximum i can get is 10...

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Director
Joined: 22 Aug 2007
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Pie, the maximum i can get is 10... [#permalink]

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12 Sep 2007, 15:14
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

can u please draw, or explain?
Thank you.
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Untitled.jpg [ 5.47 KiB | Viewed 755 times ]

Director
Joined: 11 Jun 2007
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12 Sep 2007, 15:23
not sure if I did it right so please confirm the answer. edit: I get 11.
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circle2.GIF [ 2.97 KiB | Viewed 745 times ]

Director
Joined: 22 Aug 2007
Posts: 567
Followers: 1

Kudos [?]: 56 [0], given: 0

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12 Sep 2007, 15:27
beckee529 wrote:
not sure if I did it right so please confirm the answer. I get 10.

That is what i keep getting, though the asnwer is greater than 10 number.

thanks for drawing.
Director
Joined: 22 Aug 2007
Posts: 567
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Kudos [?]: 56 [0], given: 0

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12 Sep 2007, 15:28
beckee529 wrote:
not sure if I did it right so please confirm the answer. edit: I get 11.

I see now! It is 11.

Thank you!
Director
Joined: 22 Aug 2007
Posts: 567
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Kudos [?]: 56 [0], given: 0

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12 Sep 2007, 15:32
beckee529 wrote:
not sure if I did it right so please confirm the answer. edit: I get 11.

Did u follow any guidelines for drawig maximum pieces with given number of lines?

I am just wondering wat i wud do if i get this kind of question on Gmat...
Director
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12 Sep 2007, 18:50
IrinaOK wrote:
beckee529 wrote:
not sure if I did it right so please confirm the answer. edit: I get 11.

Did u follow any guidelines for drawig maximum pieces with given number of lines?

I am just wondering wat i wud do if i get this kind of question on Gmat...

Hi Irina,

Honestly it was trial and error. I might have picked 10 on the actual test under the pressure and limited time!! =\ But to answer your question, what I did here after I drew the two lines (pretty straightforward, you'll always have four pieces), manipulating to where it would cross the most number of segments as possible. For the third line, I had it cross three out of the four segments so 4 (first two lines) + 3 (third line) = 7. Then when I drew the fourth line, I had it intersect mostly with my third line to generate 4 more lines to make it 11. Not sure if that answered your question but its the best I can explain! I wonder if there are any formulas that can help us with this type of question. Otherwise drawing a diagram is the only way to go...
Intern
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12 Sep 2007, 23:39
There actually is a pattern

0 lines = 1 region
1 line = 2 regions
2 lines = 4 regions
3 lines = 7 regions
4 lines = 11 regions

I'm assuming 5 lines = 16 regions

This pattern is based on observation not logic. I'm sure there is a logical reasoning to it that makes sense though.
12 Sep 2007, 23:39
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