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

Can you find a five letter word that is left with only two letters if one is removed?

You have to fill the below given grid in a manner that every row and column contains the digits 1 to 6. Also, make sure that the squares that are connected with each other must contains the same digit.

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

Why do we preferably have round manhole covers and not square ones?

It's pretty hard to give up.
If you remove a part of it, you will be left with a bit.
Even if you remove another part, the bit still remains.
Remove one more and it still remains.

What is it?

A swan sits at the center of a perfectly circular lake. At an edge of the lake stands a ravenous monster waiting to devour the swan. The monster can not enter the water, but it will run around the circumference of the lake to try to catch the swan as soon as it reaches the shore. The monster moves at 4 times the speed of the swan, and it will always move in the direction along the shore that brings it closer to the swan the quickest. Both the swan and the the monster can change directions in an instant.
The swan knows that if it can reach the lake's shore without the monster right on top of it, it can instantly escape into the surrounding forest.

How can the swan successfully escape?

What number comes next in the series?

5 15 5 18 5 24 14 20 _

what does the below math rebus puzzle mean?

There is a place where if I stand up straight, I will still be considered sideways.