Can you find out the remainder when 3^300 is divided by 5?

What is the Surname of Barbie Doll?

Solve this tricky question. You are trapped in a forest. With you, you have a gun preloaded with two bullets in it. In front of you, there is a tiger, a leopard and a jaguar.

How do you survive?

Take away the whole and some still remain. What is it?

I have eight fingers and two thumbs but I do not live. What Am I?

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?

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Below, you can see three complete equations and one incomplete. Based on the three complete ones, can you complete the incomplete one?

5 $ 4 $ 3 $ 9 = 4215
6 $ 9 $ 2 $ 6 = 3816
4 $ 7 $ 3 $ 3 = 1122
7 $ 2 $ 7 $ 4 = ____

I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me. What am I?