These Numbers belong together in a group: 16, 9, 49, 64

Question

These numbers do not belong in a group: 40, 12, 77, 28 Which of these numbers belong in the group? 102, 36, 25, 50

what is the rule?

Answer 1

Hi, Hen!

Ok, when we look at the numbers 16, 9, 49, 64  we can look for similarities in them. Some are odd, some are even, etc....but I see that they are all perfect squares.  16 = 4², 9 = 3², 49 = 7², 64 = 8².

On the contrary, the numbers 40, 12, 77, and 28 are not perfect squares.

So, if we look at the numbers 102, 36, 25, 50, which of these are perfect squares?

36 = 6²  and  25 = 5².   The other two numbers don't belong.