Unfortunately, the problem is not that simple. The answer just now actually uses certain assumptions, which are undoubtedly not mentioned in the title. This hypothesis holds that six cats focus all their attention on the same mouse, and they catch it in 1 minute through cooperation, and then turn their attention to another mouse together.
However, suppose six cats do the same thing. It takes 6 minutes for each cat to catch 1 mouse. According to this idea, three cats still caught three mice in three minutes. So they caught 6 mice in 6 minutes, 9 mice in 9 minutes and 99 mice in 99 minutes. Now we are faced with a computational problem. How long will it take the same three cats to catch the100th mouse? If it still takes them three minutes to catch the mice, it will take the three cats 102 minutes to catch 102 mice. Catch 100 mice in 100 minutes-this is the efficiency index of catching mice by cats. We definitely need more than three cats and less than four cats, so the answer can only be four cats, although it is a bit wasteful.
Obviously, how the three cats accurately calculated the time when the cat caught the mouse did not explain. So, if the answer is not unique, then the answer can be colorful, 3, 4 or even more. If you need a unique answer, the only correct answer to this question is: this is an ambiguous question, because there is no more information about how cats catch mice, so you can't answer this question.
This simple and interesting question tells us that before solving a mathematical problem (including other problems), we must carefully understand all the information given by the topic, neither bending the meaning of the problem nor artificially attaching conditions to cater to the so-called standard answer. Of course, this interesting topic also gives us a useful inspiration in life-only cooperation can produce the best work efficiency.