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