There's an isosceles triangle. Two of it's sides are equal to x and the remaining side is equal to y. Can there be 2 points inside this triangle whose length is greater than or equal to x? Source: I came up with this question on my own.

This is a variant of this previous puzzle. Create two valid Chess games (A and B) with the minimum number of moves such that overlapping the two games creates a valid chess position. The following rule will be considered. Games A and B must have the exact same number of moves. There can't be a ...

My doctor wants to establish a dosage for a new drug, so he gives me a bottle of 48 pills and tells me to take them throughout the month of June. I can take as many or as few as I like on any given day, so long as I take at least 1 pill each day. Show that there’s a sequence of consecutive days d...

I'm starting to test out puzzles for my second puzzle book (link to the first). They're all word puzzles based on ones you might see during Harvard's CS50x puzzle day. Try out this new puzzle I'm testing and share any feedback you might have to make it even better. Happy to share hints if you ask:

Suppose you repeatedly perform the sequence of moves (U' and R) to an initially solved Rubik's cube until it is once again in the solved state. (So move the top face to the right, then the right face up and repeat). I was expecting this to perhaps take a multiple of 16 repeats of the sequence to ...