What word is pronounced the same if you take away four of its five letters?

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

I can sizzle like bacon,
I am made with an egg,
I have plenty of backbone, but lack a good leg,
I peel layers like onions, but still remain whole,
I can be long, like a flagpole, yet fit in a hole.

Decode the below four famous ciphers:

8P of the SS
1M of the E
1S of the SS
60M in 1H

What are the next two letters in the following series and why?
W A T N T L I T F S _ _

*Hint: Check Puzzle Title

If it took eight men ten hours to build a wall, how long would it take four men to build it?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

A new clothing store has a unique method of pricing items. A vest costs $20, a tie costs $15, a blouse costs $30, and underwear costs $45. How much would pants cost?

I have no life, but I can die. What am I?

In a rainy season, one day 3 huge ladies walked under a normal-sized umbrella.
The umbrella is not huge enough to accommodate all 3 ladies yet not a single lady got wet. Why?