Can you identify the Oscar-winning movie from the rebus below?

I am quite hot but become too cold if you remove the first two letters. What am I?

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

No matter how little or how much you use me, you change me every month. What am I?

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

Find the next number in the series below.

6 18 270 72090 ?

There are 2 cops parked along a one-way street looking for traffic violations. They spot a taxi driver going in the wrong direction, yet they do nothing.

Why?

You see a boat filled with people, yet there isn’t a single person on board. How is that possible?

Where do you go to learn how to make ice cream?

A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
1. Ajit
2. Pankaj
3. Ganpat
4. Deenu
5. Hariya

The Detective was instantly able to find the murderer.
Can you?