I have branches, but no fruit, trunk or leaves. What am I?

How many triangles are there on the puzzle below?

You have 21 jars with you. Out of them, 7 are filled with water, 7 are half-full with water and 7 are empty. How will you distribute the jars among three people such that each one of them gets an equal number of jars and an equal amount of water?

Solve the puzzle by telling what does below picture means.

One day, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.

I am not sure if this process will always result in a palindrome eventually but I was able to produce a four-digit palindrome. Can you guess my starting number?

Spot what is wrong here in below Picture?

The dirtier I get, the whiter I look. Who am I?

Using four sevens (7) and a one (1) create the number 100. Except for the five numerals, you can use the usual mathematical operations (+, -, x, :), root and brackets ()

Analyze and find the missing item in the sequence:
16, 06, 68, 88, __, 98

If 21x = 79x, what is the value of x?