Let's Party!!
It was the time when I was traveling in the secunderabad-bound Duronto express (It's an Indian train), i met a strange family. We got mixed up after a while and were having fun. Then after sometime , I took out my birthday cake and thought of equally sharing with them.
Mr. Vaibhav, the man with whom I was sharing the compartment had six daughters each of whom had a brother. Mr. Vaibhav denied to have the cake. I took out the knife and decided to divide the cake into some parts so that all the kids and I can eat the cake.
Now if i need to divide the cake into even number of pieces i quickly do it, but if I had to cut the cake into odd number of pieces, I cut it into (n+1) parts and eat 2 pieces myself (in order to conceal my really bad cutting skills).
If I divided the cake into Y pieces and took the minimum possible Z slices to divide the cake into Y parts. What is Y+Z?
Hints: 1) A slice refers to a cut. For ex. the first slice can cut the cake to 2 pieces.
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1 solution
The sisters had only one brother and thus all of us were 8 kids. Thus, I needed to cut the cake into 8 pieces.
Now comes the slicing part, the first slice cuts the cake into 2 parts, the next one again into 2 parts, but instead of taking a similar cut like before from the top of the cake, take it sideways. Thus, we get a total of 8 pieces in just three slices.
Therefore Y+Z = 8+3 =11