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.

Which number should replace the question mark?

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

Can you find out who is the kidnapper in below Picture and why, Explain ?

Which is the smallest number that you can write using all the vowels exactly once?

There is a place where if I stand up straight, I will still be considered sideways.

You want to boil a two-minute egg. If you only have a three-minute timer (hourglass), a four-minute timer and a five-minute timer, how can you boil the egg for only two minutes?

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

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?

Can you replace the question mark with the correct number in the below table sequence?