# Bob's Favorite Number

**Logic**Level 3

You and your 3 friends are out to dinner. You want to know Bob's favorite number. None of them lie, but they are not necessarily correct in their statements.

You: (to Bob) What is your favorite number?

Bob: 1488 is my favorite number.

Barry: I'm sorry. Bob multiplies every number he says by 2.

Bill: I'm sorry, Barry divides every number he says by 4 to make up for Bob's exaggerations.

Bob: I'm sorry. Bill is not very bright. He adds 8 to every number he mentions.

What is Bob's favorite number?

**This is not an original problem**.

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