1) (A) Mary murdered the platypus

Question

(B) Mary killed something

Is the answer:
(a) entails (b)
OR (a) presupposes (b)
OR both

2) (A) John is taller than Mary
(B) Mary is shorter than John

Is the answer:
(a) entails (b)
OR (a) presupposes (b)
OR both

Answer 1

1. It has to be the first choice; the second choice is false, so the third choice is false, too.

2. It has to be both since both sentences are saying the same thing.

Answer 2

why does #1 not presuppose? If it is undern negatation, such as Mary did not murdered the platypus. Does it still necessarily mean that she she still did not kill something?