Great question! And the simple answer is no. A claim that is written explicitly can never be an assumption. An assumption is by definition unstated.
This question asks us to identify the role of the claim that a society is stable only if its laws tend to increase the happiness of its citizens.
The first sentence of this argument is the conclusion and can be identified by the words "this is clear from" that begin the second sentence. Everything after the first sentence is evidence for why the first sentence is true. Thus, answer choice (B) properly identifies the role of the claim.
(A) is not true, the first sentence is the conclusion.
(C) is not true, the claim does not challenge the conclusion, but rather supports it.
(D) could possibly be the correct answer to another argument, but the statement does not follow as a result of the conclusion, but rather supports the conclusion.
(E) would be accurate if the claim was an example of a general principle. In fact this claim is a general principle, not an illustration of one. We know this because of the words "only if."