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pieces of a circular pie

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by arora007 » Wed Jul 07, 2010 12:44 am
What is the maximum number of pieces that a circular pie can be divided into using four linear cuts?


a) 6
b) 8
c) 9
d) 10
e) 11

[spoiler]OA is E and i cannot believe it... oh boy!! what a problem to get as the 2nd problem of a test?
i could not visualize till i saw the figure though...
https://gmatclub.com/forum/maximum-numbe ... 79-20.html
[/spoiler]

gmatclub test problem
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by gmatmachoman » Wed Jul 07, 2010 1:01 am
yeah... look at my ameatur mspaint dwg..

Is there any mathematical logic?
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by kvcpk » Wed Jul 07, 2010 1:16 am
Here is the answer.. With great difficulty I was able to put it on paint :)
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by arora007 » Wed Jul 07, 2010 10:47 am
even i would like to know if there is some mathematical logic...there must be!
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by GMATGuruNY » Wed Jul 07, 2010 3:31 pm
arora007 wrote:What is the maximum number of pieces that a circular pie can be divided into using four linear cuts?


a) 6
b) 8
c) 9
d) 10
e) 11

[spoiler]OA is E and i cannot believe it... oh boy!! what a problem to get as the 2nd problem of a test?
i could not visualize till i saw the figure though...
https://gmatclub.com/forum/maximum-numbe ... 79-20.html
[/spoiler]

gmatclub test problem
There is a pattern:

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.

Pretty neat!
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by kvcpk » Wed Jul 07, 2010 8:19 pm
GMATGuruNY wrote:
arora007 wrote:What is the maximum number of pieces that a circular pie can be divided into using four linear cuts?


a) 6
b) 8
c) 9
d) 10
e) 11

[spoiler]OA is E and i cannot believe it... oh boy!! what a problem to get as the 2nd problem of a test?
i could not visualize till i saw the figure though...
https://gmatclub.com/forum/maximum-numbe ... 79-20.html
[/spoiler]

gmatclub test problem
There is a pattern:

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.

Pretty neat!
Wow!! Thats Awesome!!
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by diebeatsthegmat » Sun Jul 18, 2010 11:47 am
gmatmachoman wrote:yeah... look at my ameatur mspaint dwg..

Is there any mathematical logic?
ohh man, i dawned the same as you did and didnt understand i just counted it 10 triangles
lol
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