Find two or more different positive integers the product of whose factorials is a perfect cube. How small can the largest of these be? How few can they be?

You have 16 coins, eight of which are heavy and of the same weight. The other eight are light and of the same weight. You do not know which coins are heavy or light. The coins look identical except for one that has special markings. With one good scale, can you figure out if the special coin is l...

By "solve to an arbitrary position" I mean something like I give you two scrambled cubes and you make one cube match the other. This question and its answers confirms that it's possible, but are there any well-known solvers who can do this repeatedly?

This puzzle is part of the Monthly Topic Challenge #1: Restricted Title: xkcd 1xxx Below, you will see a map with twenty UN members or observer states labelled with one or more letters from A-G (except one, which is labelled 'X'). Additionally, seven images of basketballs are presented, numbered...

Eight people i.e., J, K, L, M, N, O, P and Q sit around a square-shaped table. Four people sit at the four corners of the table and face outside the table. Four people sit at the middle of the four sides and face inside the table. Only one person sits between J and Q who sits at the middle of the...

Pardon the bad poetry, but who am I thinking of? Uncle Sam took a journey to France, Sky-high wisps for to move with his feet, And to feel a particular emotion, A feeling so humble and sweet. He'd have liked to go buy up his favorite, But, alas, there were none in the stack. There was someone wh...