Premise:
"from the Falkland Islands' Penguin News ."
Hypothesis: Came from the New York Times.

no

Premise:
"it's like i can walk but if i walk for more than fifteen minutes it's going to bother me"
Hypothesis: I can walk but only for a limited amount of time before it bothers me.

yes

Premise:
"Under the Minister is the head of a department, usually referred to as the Secretary."
Hypothesis: The Secretary is usually the head of a department under the Minister.
yes