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18 Mar 2012, 02:54
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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
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11
Whats the approach to solve such type of questions. I have seen similar question in GMAT prep where circle is intersection with triangle.
(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.
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18 Mar 2012, 07:53
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prashantbacchewar
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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