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What is the maximum number of pieces that a circular pie can

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Manager
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Joined: 04 Oct 2011
Posts: 225
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GMAT 2: 0 Q0 V0
GPA: 3
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Kudos [?]: 27 [0], given: 44

Re: What is the maximum number of pieces that a circular pie can [#permalink] New post 11 Jan 2013, 06:10
Marcab wrote:
Hii Bunuel.
Can you please explain the pattern. Though I understood the pattern, I am not able to visualize the pattern.


Hi Marcab,

Guess u would have found this soln by this time..
I faced this problem in GC test and got it wrong :cry:
So when i searched i found soln in BTG .. here it is...


We start off with 1 piece of pie.

Draw the 1st line, you add 1 more piece to the pie for a total of 2 pieces.
Draw the 2nd line, you add 2 more pieces to the pie for a total of 4 pieces.
Draw the 3rd line, you add 3 more pieces to the pie for a total of 7 pieces.
Draw the 4th line, you add 4 more pieces to the pie for a total of 11 pieces.

So the nth line will always add n more pieces to the pie.

A 5th line would give us 11 + 5 = 16 pieces.
A 6th line would give us 16 + 6 = 22 pieces.


I never knew one Pizza can be sliced into these many pieces :P

Also i drew Soln for 2 n 3 lines ... PFA...
I guess it ll help u...
Attachments

File comment: Circular Pie sample soln for 2 and 3 Lines
Circular Pie.docx [46.07 KiB]
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Re: What is the maximum number of pieces that a circular pie can [#permalink] New post 12 Feb 2013, 02:44
Bunuel wrote:
marcodonzelli wrote:
What is the maximum number of pieces that a circular pie can be divided into by four linear cuts?

A. 6
B. 8
C. 9
D. 10
E. 11

Can someone show this to me with a picture?


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.

P.S. Though I agree, it doesn't seem to be GMAT type of question.


but I got this in the GC CAT.. you just said , it aint a GMAT type of Question :shock:
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Re: What is the maximum number of pieces that a circular pie can [#permalink] New post 29 Jul 2014, 21:57
[quote="Sachin9"][quote="Bunuel"][quote="marcodonzelli"]What is the maximum number of pieces that a circular pie can be divided into by four linear cuts?

A. 6
B. 8
C. 9
D. 10
E. 11



How does the 3rd line give us 7 pieces. Each time we add one more line we get 2 more pieces So shouldn't 3 lines give us 6 pieces.
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Re: What is the maximum number of pieces that a circular pie can [#permalink] New post 30 Jul 2014, 02:57
Expert's post
akshaybansal991 wrote:
How does the 3rd line give us 7 pieces. Each time we add one more line we get 2 more pieces So shouldn't 3 lines give us 6 pieces.


Check below:
Attachment:
Untitled.png
Untitled.png [ 6.5 KiB | Viewed 236 times ]

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

Generally kth line will add k new pieces.
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Re: What is the maximum number of pieces that a circular pie can   [#permalink] 30 Jul 2014, 02:57
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