This is actually a trick question but she is a strange cat so XD But yeah, let's assume that the one cat that you have is capable of pregnancy on her own. At 40 days the pregnancy start, 80 days later there are two kittens born. 10 days later she is pregnant again. 80 days later she gives birth to four kittens. So far we have 210 days used up. So she can get pregnant again. After 10 days she is pregnant again. 80 days later she gives birth to six cats. You can't get her pregnant again.
So now we count the cats: 2+4+6= 12 kittens are born