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m19#22

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m19#22 [#permalink] New post 18 Mar 2012, 01:54
What is the maximum number of pieces that a circular pie can be divided into using four linear cuts?

(C) 2008 GMAT Club - m19#22

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Whats the approach to solve such type of questions. I have seen similar question in GMAT prep where circle is intersection with triangle.
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Re: m19#22 [#permalink] New post 18 Mar 2012, 06:53
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prashantbacchewar wrote:
What is the maximum number of pieces that a circular pie can be divided into using four linear cuts?

(C) 2008 GMAT Club - m19#22

6
8
9
10
11

Whats the approach to solve such type of questions. I have seen similar question in GMAT prep where circle is intersection with triangle.


Such kind of combinations problems are always about a pattern recognition.

Maximum pieces:
0 line gives 1 whole piece;
1 line will gives 2 pieces: 1+1=2;
2 lines will give 4 pieces: 2+2=4;
3 lines will give 7 pieces: 4+3=7;
4 lines will give 7+4=11 pieces.

Similarly:
5 lines will give 11+5=16 pieces;
6 lines will give 16+6=22 pieces;
7 lines will give 22+7=29 pieces.

So, generally kth line will add k new pieces.

Answer: E.

For more solutions check here: what-is-the-maximum-number-of-pieces-that-a-circular-pie-can-64679.html

Hope it helps.
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Re: m19#22   [#permalink] 18 Mar 2012, 06:53
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