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

Can you complete the sequence?

192, 021, 222, 324, 252, 627, 2__, 9__?

Count the number of balls in picture below:

They are the five precious gems of an everyday sort and all can be found on a Tennis Court. Who are they?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

Using Only Five 5's and any mathematical operator make sum as 37

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?

Suppose we lay down two cups in front of you. One of the cups is filled with tea and the other one with coffee. Now we ask you to take a spoonful of tea and mix it with the coffee. At this moment, the coffee cup has a mixture of tea and coffee. You have to take that mixture (spoonful) and add it back to the tea.

Can you now tell if the cup of coffee has more tea or the cup of tea has more coffee?

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

Take 9 from 6, 10 from 9, 50 from 40, and leave 6.

How Come ??