If we tell you that there is a relation between the numbers and letters in the given figure, can you analyze it and find the missing letter in the last box?

I look at you, you look at me, I raise my right, you raise your left. What am I?

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

Lifeless eyes on my smiling face and watch your child's sleeping place. In their dreams they hold me tight. What am I?

If,
29 - 1 = 30
9 - 1 = 10
14 - 1 = 15

Based on similar logic, Can you prove that the below algebraic equation is true?
11 - 1 = 10 ?

In the picture given below, can you find out which digit will take place of the question mark?

There was an aeroplane crash, every single person died, but two people survived. How is this possible?

What kind of band never plays music?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

15 caves are arranged in a circle at the temple of doom. One of these caves has the treasure of gems and wealth. Each day the treasure keepers can move the treasure to an adjacent cave or can keep it in the same cave. Every day two treasure seekers visit the place and have enough time to enter any two caves of their choice.

How do the treasure seekers ensure that they find the treasure in the minimum number of possible days?