You have to be careful when playing cards with a big cat, because it could be a “cheetah,”

and if it’s keeping score, it could be “lion.”

Oh, I love that joke! It gave me the inspiration for this puzzle.

In the Cat Kingdom here at the zoo, there are four types of felines:

Bobcat Jaguar Lion Snow Leopard

One or more of them is always tellin’ the truth, and one or more of them is always lyin’. But I won’t tell you which is which: I’ll let them speak for themselves. If an animal tells the truth, each of its individual sentences is true. If an animal is lyin’, each of its individual sentences is false.

The bobcat says, “I tell the truth! So does the lion! The first four letters of the answer spell a verb that means ‘to repair something broken or damaged, especially fabric or fences.’”

The jaguar says, “I tell the truth! So does the snow leopard! The first four letters of the answer spell a verb that means ‘to smooth and sharpen, like a blade.’”

The lion says, “I tell the truth! Everyone else is lying! The last five letters of the answer spell a pair of words that together mean ‘one metropolis.’”

The snow leopard says, “I tell the truth! So does the jaguar! The last three letters of the answer spell a home for a particular type of farm animal… or a home that looks like animals live there!”

Based on these statements, can you tell which animals are tellin’ the truth, which are lyin’, and what the actual one-word answer is?