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

A boy and a girl are sitting on the porch.
"I'm a boy," says the child with black hair.
"I'm a girl," says the child with red hair.
If at least one of them is lying, who is which?

To attend world science seminar, A famous chemist from Mexico visit
London. In the lab, the scientist was killed and his six assistants were under suspicion of killing the chemist.
Name of six assistants: Austin, Wayne, Dege, Oscaru, Lingard, and Rojo.
He left a note "76-20-44 79-16-22-7"

A local detective Jack was called to solve the case,

After reading the note, Jack instantly asked the police to arrest the murderers.

Who are the murderers?

81 x 9 = 801. What must you do to make the this equation true?

Three brothers Jacob, John, and James live in Mexico City. The product of the ages of these brothers is 175. Jacob and John are twins. How old is James?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?

I throw two dice simultaneously.

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