What does an Island and the letter T have in common?

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

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

A journalist was investigating a sacred cult in the jungles of Africa when he was caught by one of the person. He was confined in a cave till the leader arrived. The leader told him that he need to tell him a statement. If he thinks the statement is true, then the journalist head will be chopped off. If he thinks that the statement is false, his head will be smashed with a hammer.

What statement did the journalist make to survive?

How many times can you subtract the number two from the number fifty?

Guess the hidden movie name?

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

What has 13 hearts but no other organs?

You have four chains. Each chain has three links in it. Although it is difficult to cut the links, you wish to make a single loop with all 12 links. What is the fewest number of cuts you must make to accomplish this task?

Name a key which is hardest to turn.