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Getting 11

Below is the picture
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sreehari
Getting 11

Below is the picture

how did you come up with this in 2 minutes?

Look to maximize the intersections for each line, shouldn't take long.
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the key of this problem is the next line must be intersect all the previous line.so the answer is 2+2+3+4=11.Paint a chart is a directly and simply method.
sorry ,my english is so poor and I can't clearly express my viewpoint.
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9 is the best I can do.
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11.

1 line: 2*1=1
2 lines: 2*2=4
3 lines: 4+3=7
4 lines: 7+4=11
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EUREKA !!!!! - although I dont know how to do it mathematically .... walker any explanations ??
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It is more tasteful :wink:
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EUREKA !!!!! - although I dont know how to do it mathematically .... walker any explanations ??

I guess it is better to go step by step, from 1 line to 4 lines
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walker the big piece is for u - when u nail 750 ....
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walker the big piece is for u - when u nail 750 ....

Agree, and I will cut it by 10000 pieces for all GMATclubbers who help me :)
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walker
11.

1 line: 2*1=2
2 lines: 2*2=4
3 lines: 4+3=7
4 lines: 7+4=11


typo walker,

for those who were perplexed by walker's method,

he is saying for \(P_n = P_{n-1} + n\)
which in plain english mean, every new line n will will create n new pieces
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Wow, Wow, beautiful cake! Walker!

I follow the 50-50 rule, so I cut the cake maximum 8 peices. Now I understand how the rule 20-80 works! :o :o Thanks every body!

If I see this question in real Gmat, I must bring with me a cake! :lol:
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If I see this in real gmat I'll never eat a cake again ...
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If I see this in real gmat I'll never eat a cake again ...

hahahaha.. that's really funny. In my case, I'll be only focused on food after that point and not the quants. GMAT will be creaming me with such a question as my brain would immediately start thinking about food..
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Hope this helps !
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I personally don't like this question because it resembles too much of those brainteasers and I ended up with 14 pieces... 3 cuts would equal 7 pieces and then one linear straight slice horizontally would give me 14 pieces...
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Hii Bunuel.
Can you please explain the pattern. Though I understood the pattern, I am not able to visualize the pattern.
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