That's different from house to house.
cats mostly live in a barn or a house and outside
Lost house cats and wild cats
Tame cats that live side by side with humans; house cats.
In your moms house
Yes, many species of wild cats live in forests, including pumas, bobcats, and civets. Tigers once roamed the forests of India and China. House cats that become feral may live in the forest.
Yes, many cats are house cats. You can count all adopted cats as house cats, since they belong to households.
Cats prefer to live in a house but some are feral and live outside.
Yes they do, they just live inside of a house. But big cats are also just bigger than them.
No, cats do not live forever. Most cats live for about 15 years, although many live into their twenties.
no
NO large cats live in Australia, maybe some feral house cats. But no large cats. Note: The now-extinxt Tasmanian tiger (Thylacine) was not a tiger, but a marsupial.
They are generally kept as pets in homes. Otherwise, stray house-type cats live just about anywhere. Wild big cats it depends on the type.