A clean way to work through this is to build a short checklist of what Section 4 of the Negotiable Instruments Act, 1881 actually requires for a valid promissory note, and then tick each requirement off against the facts given.
Every requirement the law actually imposes is satisfied on these facts, so nothing stands in the way of enforcement against A.
So the correct answer is The promissory note is valid; A is liable to pay B.
Students sometimes assume that anyone very recently turned adult still needs some kind of special protection before their signed documents can bind them. Testing that assumption against Indian law is a useful way to answer this question.
Once the misconception about A's age is corrected, and the other proposed defects are shown to import requirements the law does not impose, the note stands as a fully valid and enforceable instrument.
Therefore, the correct answer is The promissory note is valid; A is liable to pay B.