What is the Surname of Barbie Doll?

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.

If Rajina's daughter is my daughter's mom, who am I to Rajina?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

Divide 110 into two parts so that one will be 150 per cent of the other. What are the 2 numbers?

Find the missing letter in the last circle logically in the given below picture.

Which five letter word can be added at the end of below word to form a
valid word?

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With pointed fangs I sit and wait; with piercing force I crunch out fate; grabbing victims, proclaiming might; physically joining with a single bite. What am I?

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

John bought a new car. He has a habit of eating ice cream from a particular ice cream shop while returning home from office. Whenever, he eats strawberry ice cream, he faces no problem. But whenever, he eats chocolate ice cream, the car starts giving problem. At first, he thinks, it is just a co-incidence but when this awkward incident happens for 3-4 times, he reports this problem to the company.

The mechanic of the company checks but finds no problem at all. The next day, when he stops by to eat chocolate ice cream, the car again starts giving problem.

Can you find the possible reason?