Can you put 15 sheep in 4 cages so that every cage has an odd number of sheep in it?

No, it is not possible to put 15 sheep in 4 cages such that each cage has an odd number of sheep. This is because the sum of four odd numbers is always even, whereas 15 is an odd number. Therefore, you cannot achieve the condition where all cages have an odd number of sheep while totaling 15.