Which of the following beliefs did utopian socialist and communist have in common?
a.) industrialization is not possible in countries outside of western europe.
b.) violence should never be used as a method for creating social change.
c.) the capitalist system has failed the majority of people and industrial societies.
d.) the government should have as little influence of the economy as possible.

Firstly, to answer this question, we need to understand the definition of each of the terms that they're asking about! Here are some quick, by no means complete, definitions:

Utopian: The belief that the current society one resides in can be improved to a perfect society; the desire to change the society one resides in to a "better" version of what it is
Socialism: The belief that the workers should control the workforce
Communism: The belief that everything should be split among everybody and that no social classes should exist (while one of the main reasons for the existence of social classes being the uneven division of materials)

Now that we have that out of the way, let's just try to find one system for each that contradicts the choice:

A. Well, communism has been known to want/do two things. The first being a worldwide "sharing" association, with everybody being on board with communism, and the second being communists have used industrialization to assist with the achievement of their goal. So, with those combined, communism eliminates that choice from being feasible.

B. Utopias, for the most part, condone the use of violence, as they believe that is a factor that causes issues in modern societies. So, Utopian beliefs eliminate that choice.

D. Communism believes that the government needs full control of the system at first, then give the power to the people. So, that leads to the elimination of D.

We are now only left with C. Why is that the answer? Well, Utopias most often change the capitalistic system, Socialists want control and more equality, and communism is the cited opposition to socialism. Therefore, C would be the correct choice.