Do You See It?

Can you spot what's wrong with the following sentence?

PETER WAS ANGRY AT
HIMSELF BECAUSE HE
ACCIDENTALLY LEFT THE
THE KEYS TO HIS CAR
AT HIS FRIEND'S HOUSE.

I am a word that begins with the letter “i.” If you add the letter “a” to me, I become a new word with a different meaning, but that sounds exactly the same. What word am I?

In the below-given picture of a pretty girl, there is something wrong. Can you find out what it is?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

You can see three almost identical images below. Can you spot the odd one out from them?

Here is a mathematical expression that also secretly tells a movie name. What movie is that?

A man hijacks an aeroplane transporting both passengers(8 of them) and valuable cargo. After taking the cargo, the man demands nine parachutes, puts one of them on, and jumps, leaving the other eight behind. Why did he want eight?

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

A frog is at the bottom of a 30-meter well. Each day he summons enough energy for one 3-meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well?