Do You See It?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

What has lots of eyes, but can’t see?

Can you find out a way through which you can make five squares out of the given figure by moving just six match sticks?

John speaks the truth only once a day in a week. Below are a few hints for you:

First: Days are Sunday, Monday and so on.
Second: One day he says, "I lie on Monday and Tuesday".
Third: On the next day, he says, "Today is either Thursday, Saturday or Sunday".
Fourth: On the next day, he says, "I lie on Wednesday and Friday".

Can you identify the day on which he speaks the truth?

John is found dead in a bare field. Nobody killed John,
John did not commit suicide.

Inspector Jacob found a bag just a few meters away from John which could save his life. What was in the bag?

Alpha is Beta's sister.

Gamma is a Beta mother.

Delta is Gamma's father.

Tango is Delta's mother.

Then,

How is Alpha related to Delta?

You knock a Table over in the library, and suddenly 20 eyes are looking at you.

I know a 5-digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it.

Guess the number?