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

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

Count the number of balls in picture below:

Spelt forwards I’m what you do every day, spelled backwards I’m something you hate. What am I?

Three fair coins are tossed in the air and they land with heads up. Can you calculate the chances that when they are tossed again, two coins will again land with heads up?

Five thieves looted a bank and they ran away in a car. The bank staff informed the police and they began the search of their car in their jeep. They found them on a road and chased them eventually catching them. The light that is used to fill the number plate was broken on the thieves' car. Also, the headlights of the jeep police were not working. How were the police able to catch the thieves then?

Can you think of any three-dimensional shape that comprises of exactly two surfaces?

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different. How do you measure 45 minutes?

We are a group of eight brothers. We consider the weak, yet we protect the king in every battle. If we move ahead, we never turn back. Who are we?

What is more useful when it is broken?