This is a strengthen with a necessary premise question, so we can use the negation test on each answer choice. If the negation of the answer choice makes the argument fall apart, then we know that the original form of the answer choice is required for the argument, making it the correct answer choice.
(E) says, "If the government pursues policies that do not increase the demand for fuel, gasoline prices tend to remain stable."
(E)'s negation would say, "If the government pursues policies that don't increase the demand for fuel, gas prices may or may not remain stable."
The problem with (E) is that the government's policies in the argument did increase the demand for fuel, so it's not necessary for us to know anything about what happens when demand is not increased. Thus, we can get rid of (E).
(A) says, "The government can bear responsibility for that which it indirectly causes."
(A)'s negation would say, "The government cannot bear responsibility for that which it indirectly causes."
Looking at the negation, if governments cannot be responsible for something they have indirectly caused, then the argument in the stimulus falls apart. This means that (A) is a necessary premise, so it's the correct answer choice.
Hope this helps. Let us know if you have any other questions!