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

What does below Rebus mean ?

esgg sgeg gegs gsge

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

What makes this number unique: 8,549,176,320?

A man escapes from jail using help from his girlfriend. The investigators suspect four girls of being the man's girlfriend.

Out of those four girls, one is his girlfriend who is lying. Two of the girls are completely innocent and are speaking the truth. One of the girls is the man's sister who is helping the girlfriend lie. Following are the statements from all four of them:

Ariana: "Myrna is his girlfriend."
Jane: "Angelina is lying."
Angelina: "Ariana is lying."
Myrna: "Jane is not his sister."

Can you find out who is the man's sister among them?

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

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

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 ?

We have shown you a regular water barrel as below. Without using any measuring device can you check if the barrel is more than half-filled or less than half-filled?

What does below science rebus mean?

Ag Ag Ag
Ag SPOON Ag
Ag Ag Ag