Zahra has a \(3\times 3\) grid of little squares. Can she write the numbers \(2,4,6,7,8,10,12,14,16\) inside the little squares - using each number exactly once - so that the sum of the three numbers in every row is the same?
On the questioner’s planet, every alien is either a Crick or a Goop. A Crick can only ask questions whose answer is “yes,” while a Goop can only ask questions whose answer is “no.”
An alien stands on each cell of a \(4\times 4\) chessboard. Every alien asks the same question:
“Do I have an equal number of Cricks and Goops among my neighbours?”
(Here, a neighbour means any alien on a horizontally or vertically adjacent cell.)
How many Cricks and how many Goops could be on the chessboard?