Intelligence Agency need to break the vault but the problem is that they are not able to break the vault.

On the vault, a text is written as:

31 11 33 33 43 45
21 25
31 24 11 31 51 41

To Break the code Intelligence Agency brings a mathematician named Joseph.
Minutes later he deciphers the code.

Whats the code?

I came first on earth but second on the heaven.
I also came twice in a week but found just once in a year.
I stay away from months but you can find me in February.

What am I?

Can you solve below mathematical equation?

2^1234 - 2^1233

What occurs twice in a week, once in a year but never in a day?

A bus driver was heading down a street in Mexico. He went right past a stop sign without stopping, he turned left where there was a "no left turn" sign, and he went the wrong way on a one-way street. Then he went on the left side of the road past a cop car. Still - he didn't break any traffic laws. Why not?

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?

If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.

How is this possible?

Decode below three cipher riddles:

26 L of the A
7 D of the W
1000 Y in a M

How many words can a quill made with the feather of a pigeon write with a 100ml bottle of black ink?

A crime was committed at baker street. Ibrahim Dakota who was shot in the stomach was the main suspect. Sherlock questioned the suspect. The conversation started as:
Sherlock: What's your story, Ibrahim?
Ibrahim: I was walking around baker street and suddenly a man from the back shot me. I ran as fast as I could to save my life".
Sherlock: That is enough (and ask the police to arrest him).

Why does Sherlock think he is the murderer?