Which country gets ill every time?

Consider this about a word: The first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

How many bananas can you eat if your stomach is empty?

There are two dice with empty faces in front of you and a marker. You can mark any number on each of the faces of the two dice, but you have to display all 31 days of the month using the two of them.

Which numbers will you mark on which dice so that you can easily depict all the dates of the month?

You have a square. What you have to do is cut and reassemble the square such that you create a Red Cross sign that has the same volume as that of the square.

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

I am dry when I go inside, but wet when I am pulled outside.
The longer I am inside, the stronger I get
When I am completely out, I am wet and I literally sag
Who am I?

Can anyone tell me a word in the English dictionary which has a silent 'z'?

Which statement is true out of the following?
One statement here is false.
Two statements here are false.
Three statements here are false.

What am I?