All parts of a true and false question must be true for the answer to be true?

Answer 1

Yes.

If all the question's parts are true, then the answer is true.

If all the question's parts are false, then the answer is false.

If one of the question's parts is false and the rest true, then the answer is false.

Logically, this is illustrated below using:

A = True, B = True, C = True, D = False, E = False, F = False

A and B and C = True

D and E and F = False

A and B and D = False

If you add NOT, it's a bit more complicated.

A and NOT(D) = True and True = True

NOT(D) and D = True and False = False

NOT(A) and NOT(B) = False and False = False

Using OR adds another layer of complexity.

A OR NOT(E) = True OR True = True

NOT(D) OR D = True OR False = False

NOT(A) OR NOT(B) = False OR False = False

Logic is easy once you understand the rules.