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

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?

A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

All of Jacob's shoes are red except two.
All of Jacob's shoes are green except two.
All of Jacob's shoes are yellow except two.

How many shoes does Jacob have?

'S' refers to the number of seconds in a day and 'H' refers to the number of hours in ten years. Which quantity out of these two is greater?

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

Can you find a number that lies one third of the distance between 1/3 and 2/3?