A time long back, there lived a king who ruled the great kingdom of Trojan House. As a part of the renovation of the kingdom to meet future security needs, he asked his chief architect to lay down a new play in a manner that all of his 10 castles are connected through five straight walls and each wall must connect four castles together. He also asked the architect that at least one of his castles should be protected with walls. The architect could not come up with any solution that served all of King's choices, but he suggested the best plan that you can see in the picture below. Can you find a better solution to serve the king's demand?

What goes up but never comes down?

The centre of the third figure is empty. What digit should fit inside?

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

Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

What is the largest number you can write with just 3 digits?

I have holes on the top and bottom. I have holes on my left and on my right. And I have holes in the middle, yet I still hold water. What am I?

You see me once in June, twice in November, and not at all in May. What am I?

In a football game, Christina defeated Teresa by 2 - 0 but no man from either side scored. How can this be possible?

What is so fragile that saying its name breaks it?