In Japan, people often ask this question to see what kind of person you are.
It is:
"Anata wa inu-ha desuka, neko-ha desuka?” which means “Are you a dog person, or a cat person?”
(“anata” – you, “wa”– a particle to indicate a subject, “inu” – dog, “ha” – sect, “neko” – cat, “~desuka?” – are you~?)
You can reply:
“I am a dog person.” – “Watashi wa inu-ha desu.”
(Watashi = I)
“I am a cat person.” – “Watashi wa neko-ha desu.”
“I am not an animal person.” – “Watashi wa doubutsu ga suki dewa-arimasen.”
(doubutsu = animal, suki = like, dewa-arimasen = not~)
“I like both.”- “Watashi wa dochiramo suki desu.”
(dochiramo = both)
See you in the next episode of Speakin’ Japanese!