Final answer:
The statement is True; Rawls' theory critiques Utilitarianism for potentially allowing scenarios where the basic needs of the least well-off are not met, in contrast to his Difference Principle that aims to benefit even the least advantaged. The correct answer is option A).
Step-by-step explanation:
If John Rawls' theory of justice is correct, then the problem with Utilitarianism, according to Rawls, is that it does not necessarily ensure that the least well-off in society have their basic needs met. Rawls' theory, particularly the Difference Principle, mandates that social and economic inequalities are just only if they result in compensational benefits for the least advantaged members of society. Utilitarianism, by contrast, is focused on maximizing overall utility, which could, in theory, lead to scenarios where the least well-off are sacrificed for greater overall gains. Therefore, the statement that Rawls' theory of justice suggests a problem with Utilitarianism in that it could allow for the least well-off not to have their basic needs met, is True.