Are ferrets and dwarf mongooses related?

Answer 1

Ferrets are under the sub-order of dogs and mongooses are under the sub-order of cats, they are not related.

The above answer is not correct. Ferrets are part of Caniformia, which actually means dog-like, it does not mean dogs themsevles. Caniformia is just a name they decided to base off the word dog. The first Caniformid was not a dog at all. Dogs are (relatively) recent Caniformids. Ferrets were never dogs and Mongooses were never cats. The first Carnivoran was a Civet-like creature, which gave way to two creatures through evolution and the creatures gave way to Feliforms and Caniforms. Obviously the first Caniform was closer to the first Feliform than a dog is to the first Caniform. In closing, just because Ferrets are classified as Caniforms does not mean they are closely related to dogs. The closest relatives of weasels are bears and seals, but even then were talking many many millions of years.