If all the below statements are true

1. Gianni was either in Italy or France in 1997.
2. If Gianni did not kill Versace, Hilton must have killed him.
3. If Versace died of suffocation, then either Gianni killed him or Versace committed suicide.
4. If Gianni was in Italy in 1997, then Gianni did not kill Versace.
5. Versace died of suffocation, but he did not kill himself.

Who killed Versace and where was Gianni in 1997?

Whats the next number in the below number sequence pattern.

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

Find the next number in the series

12, 20, 40, 72, 116, 172 ?

What number comes next in this sequence:
7 8 5 5 3 4 4 _

You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?

Can you place three balls such that the equation shown in the picture holds true?

The teacher told the student that if he told a lie then he will be expelled from school and if he told the truth then he still is expelled from school.

What can a student say to prevent his being expelled from school?

I had an infinite supply of water and 5 litres and 3 litres jars.

How would you measure exactly 4 litres in the least number of steps?