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.

Can you find out the remainder when 3^300 is divided by 5?

Which alphabet is a part of our body?

What breaks yet never falls, and what falls yet never breaks?

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

A man was driving a black truck. His lights were not on. The moon was not out. A lady was crossing the street. How did the man see her?

John is selling fruits.
He sells grapes at $30, Dates $25, and a Wolfberry $45.
At what price does he sell fig?

PS: Logical Thinking

Write the next letter in this sequence.
O, T, T, F, F, S, S, E, __
**Hint: It is a Number Series Puzzle

I am a word of 12 alphabets.

* Alphabets 12, 4, 7, 2, 5 : Eastern beast of burden
* Alphabets 1, 8, 10, 9 are street made famous by Sinclair Lewis.
* Alphabets 11, 3, 6 are past.

On whole it means a person suffering from delusions of greatness.

What Is it ?

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.