Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

Find the Odd One Out?
84129
32418
47632
36119
67626
72927

A sundial has the fewest moving parts of any timepiece. Which has the most?

Before Mount Everest was discovered, what was the highest mountain in the world?

A Detective reviewed the information they had on the case so far.

A lady named 'Caterina' was found shot and they already had a list of suspects - Ankit, Tarun, Harish, Manoj and Manish.
The killer is a fan of challenges him by leaving notes ad various places.
* The first was found in a toilet room.
* The second was found in an art room.
* The third was in a restroom.
* the fourth in an underwater room.
* The fifth at the no-smoking room.

All of the notes read the same thing, 'The clues are where you find the notes.' Yet, nothing was found at any place the notes were.
Detective the genius, immediately solved the case.
Who was the killer?

All of you like to eat me. I am a five-lettered word. Remove the first two and I turn into an infamous animal. Remove just the first and I become a heinous crime. Remove the first and the last and you can groove on me.

Can you guess who am I?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

Below rebus represent famous DiCaprio movie. Can you name it?

Can you make the number 24 by utilizing the numbers 1, 3, 4 and 6? You must use one number only one time and you can use mathematical operation symbols anytime anywhere.