I am an odd number. Take away a letter and I become even. What number am I?

Can you solve the below rebus?

Vin Diesel is pulling a theft and has planned to run away with all the cash kept in the safe. But the only way to open the safe is the 13 character password. He has a set of five clues given to him by a trustworthy source.

Exactly two of the below statements are false.
The password is contained within this sentence.
The password is not in this hint.
The password is within only one of these statements.
At least one of the above statements is a lie.

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

Count the number of triangles in the picture below:

John walks into the daily grocery shop and steals a $100 bill from the shop. An hour later John returns to the shop and buys some daily products for $40. John pays the owner the $100 bill and therefore the owner returns him $60.

How much money did the owner lose?

It's pretty hard to give up.
If you remove a part of it, you will be left with a bit.
Even if you remove another part, the bit still remains.
Remove one more and it still remains.

What is it?

If your uncle’s sister is not your aunt, what relation is she to you?

What is the next number in the series?

15 29 56 108 208 ?

People put me on the table and cut me but do not eat me. What am I?