Answer:
Option A would be the answer.
A communist government owns all aspects of production while in socialism, the government only owns some aspects of production.
What is communism?
Communism is a moneyless, stateless, & classless envisioning of society. Under communism there is no "private property" as there is today. Instead communists believe in a form of "personal property" that is determined by use of an object (as opposed to abstract ownership).
For instance: a house. If you eat, sleep, and just generally live in a house it is yours. You own it because you use it. That is your personal property. A house becomes private property when you no longer live in it, but still maintain ownership over it and charge others for the right to use it (in other words, renting property).
Communism rejects the concept of private property and it's effects on society, the economy, and production. They support common ownership of the means of production (anything that is used to produce a commodity) and of natural resources.
tl;dr Communism is a stateless, moneyless, and classless. No private property. Common ownership of the means of production.
What is socialism?
In society, the mode of production is how society divides up its labour; what work needs to be done, how that work gets done, how the economy is driven, for what purposes, and so on. First we had the hunter-gatherer mode of production, where we said "Okay, we need to build shelter, hunt animals, make clothes, and gather fruit. We'll divide this labour up by gender." Then we got more advanced, and had the master/slave modes of production; tribes or cities would conquer other groups of people, enslave them, and force them to do a wider variety of work that hadn't existed in the past. Then we had the feudalist mode of production, where people were born into certain classes, with the king ruling over nobles who owned land, who let peasants farm their land in exchange for work. At the moment, most of the world is in the capitalist mode of production.
Socialism is a group of ideas for a new mode of production. There are different competing ideas for how the details would work, but the primary idea is that of democracy being extended to the economy. The things people need to do their work -- factories, mines, land rights, and so on -- would belong to the society at large, and the society could democratically decide what work needs to be done and appoint people to allocate resources and manpower accordingly, and in doing so, escape the alleged injustices and societal inefficiencies of the capitalist mode.
Extended: socialism, in some forms of the idea, is related to communism. This is the idea that a socialist society can eventually work to end many forms of scarcity, and eventually enable one further mode of production, communist society, in which the two social classes (bourgeois, people who earn money through their ownership, and proletariat, people who must sell their labour to survive), the state (government), and money cease to exist. Some forms of socialism believe in eventually pursuing communism, while others hold that socialism itself is the practical and worthy goal.
Thank you,
Eddie