I tried to solve this, but I am unsure about my solution. I'm posting it here to see if I got it right. It is listed as multiple choice, but I am unsure about the quality of the puzzle creator, so don't limit yourself to the 5 provided answers.
The problem:
A gardener wants to plant 100 trees (oaks and birches) alongside a trail in a park. The number of trees between any two oaks must not be equal to five. What is the largest number of oaks that the gardener could plant?
A)48
B)50
C)52
D)60
E)80
My solution:
45 Oaks.
Planted in a pattern like this (O=Oaks, X = Birches), repeating to 100.
OXOXOXXOX
I'm quite certain there is a better way to solve this (and a better answer), so enlighten me on how to solve a problem like this.