Q: Suppose you want to cut a circular cake with six straight cuts. What is the maximum number of pieces you can create? They can be different sizes but cannot be moved around.
A: 22 pieces.
The figure below is for 5 cuts with 16 pieces.
Each additional cut creates one more additional piece than the previous cut.
Here is the pattern:
#of Cuts #of Pieces # of Added Pieces
1 2 0
2 4 2
3 7 3
4 11 4
5 16 5
6 22 6
Q: Suppose you want to cut a circular cake with five straight cuts. What is the maximum number of pieces you can create? They can be different sizes but cannot be moved around.
A: 16 pieces…see below for a possible solution
Q: A mother told her daughter “I was thrice as old as you two years ago. In 14 years, I will be twice as old as you.” What is the current age of the mother and daughter?
A: The mother is 50 and the daughter is 18.
Two years ago, they were 48 and 16.
In 14 years, they will be 64 and 32.
Here is a link to a solution on YouTube: https://youtu.be/_RWsx9gU_XI
This was a Medium puzzle with all operations.
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The first two digits are the product of 9 x 5
The third and 4th digits are the product of 9 x (the other 5)
The 5th and 6th digits are 45 + 45 – middle digit = 90 – 5 = 85