Presumably the term 'tiger cat' refers to the quoll found in Australia. If so, then the quoll and the numbat are more closely related than the numbat and the bandicoot. Both the quoll and the numbat are dasyurids, or carnivorous and/or insectivorous marsupials, being members of the order Dasyuromorphia. The bandicoot is an omnivorous marsupial which belongs to the order Peramelemorphia.
The cat and tiger are most closely related, and are both of the family Felidae. Even though the numbat and eastern barred bandicoot are both marsupials, that is where the similarities end.
It's structure
Numbats and bandicoots are both marsupials, but that is where their taxonomic classification similarities end. The numbat's Order is Dasyuomorphia while the bandicoot's Order is Peramelemorphia.The numbat is not closely related to any current, living species. It is considered to have been more closely related to the now-extinct Thylacine, or Tasmanian tiger.
Yes. Coco is Crash Bandicoot's sister.
Lungs
Anatomy of the body parts is always closely related to it's physiology.
The kinds of evidence that indicates how closely species are related are evidence of DNA and protein structure.
bone structure
a mountain range
Primates like humans are closely related to the order carnivore some scientist even have them as a sister group similar to hippos to whales and elephants to hyraxes.
Yes. The bilby is a type of bandicoot, so all members of the bandicoot family are related to the bilby. The bilby is sometimes even called the "rabbit-eared bandicoot" because of its long ears.
a mountain range