Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

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?

Identify the next two numbers in this series.

101, 112, 131, 415, 161, 718, ???, ???

What is the next number in this series?

4,12,84,3612....

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

You Throw The Outside, Cook The Inside
Eat The Outside, Throw The Inside.

What Is It?

A mile-long train is moving at sixty miles an hour when it reaches a mile-long tunnel. How long does it take the entire train to pass through the tunnel?

I am a normal creature, but I have five hands. I can even have more but even then I will be considered normal.

Who am I?

The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

A father's child, a mother's child, yet no one's son.

Who am I?