First let's analyze the the statements provided in the passage:
1.
Fundamental theories count: There are three fundamental theories.
2.
First fundamental theory: Big Bang Theory is one fundamental theory, with about thirty corollaries.
3.
Other theories mentioned: String Theory and Time's Arrow Theory are derived from "one of the other two fundamental theories."
Now, let's evaluate each option:
A. Big Bang Theory, String Theory, and Time's Arrow Theory are the fundamental theories around which all other theories revolve.Incorrect: The text explicitly states that String Theory and Time's Arrow Theory are derived from one of the other two fundamental theories, meaning String Theory and Time's Arrow Theory are not fundamental theories themselves.
B. String Theory and Time's Arrow Theory are not derived from the same parent theory.Incorrect: The passage says they "can be derived from one of the other two fundamental theories." This phrasing means that one single fundamental theory (out of the remaining two) derives both String Theory and Time's Arrow Theory, or at least it does not state that they come from different ones.
C. All the theories explaining the origins of life revolve around the same three fundamental theories.Incorrect: The passage discusses the origin of the universe, not the origins of life.
D. Any new theory about the origin of the universe has to conform to one of the fundamental theories.Incorrect: The text discusses existing theories ("about a hundred theories that claim..."), but does not make a rule or restriction about future/new theories.
E. Big Bang Theory is fundamentally different from the parent theories that can derive the String Theory or the Time's Arrow Theory.Correct: Since the Big Bang Theory is one fundamental theory, and String Theory / Time's Arrow Theory are derived from "one of the other two fundamental theories," the parent theory of String/Time's Arrow Theory is distinct/different from the Big Bang Theory.
Correct Answer: E