Our product and our sum always give the same answer. Who are we?

I was born in a small house and I live in it all alone. No windows and no doors have been assigned to my house. The only way I can go out is by breaking through the walls of my house.

Who am I?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

What word is represented by this rebus?

John can eat 27 chocolates in an hour, Jacob can eat 2 chocolates in 10 minutes, and Jolly can eat 7 chocolates in 20 minutes. How long will it take them to share and eat a box of 120 chocolates whilst playing Chess?

What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?

I have no life, but I can die. What am I?

There are 100 bulbs in a room. 100 strangers have been accumulated in the adjacent room. The first one goes and lights up every bulb. The second one goes and switches off all the even-numbered bulbs - second, fourth, sixth... and so on. The third one goes and reverses the current position of every third bulb (third, sixth, ninth? and so on.) i.e. if the bulb is lit, he switches it off and if the bulb is off, he switches it on. All the 100 strangers progress similarly.

After the last person has done what he wanted, which bulbs will be lit and which ones will be switched off?

Out of the nine cats that you can see in the picture, there are only two that are completely identical. Can you find them out?