Question

read the excerpt from the joint statement by president roosevelt and prime minister churchill.
sixth, after the final destruction of the nazi tyranny, they hope to see established a peace which will afford to all nations the means of dwelling in safety within their own boundaries, and which will afford assurance that all the men in all the lands may live out their lives in freedom from fear and want;
this statement is based on the assumption that
peace is not possible for all people of the world.
some men will still lead lives of fear and want.
the allied powers will defeat nazi germany.
germany will cooperate with great britain and the us.

Explanation:

The statement says "after the final destruction of the Nazi tyranny", which implies an assumption that the Allied powers (the US and Great Britain, represented by Roosevelt and Churchill) will defeat Nazi Germany. The other options go against the positive hope for peace and freedom expressed in the statement. Option A says peace is not possible, which contradicts the hope for peace. Option B says some men will still have fear and want, but the statement hopes for freedom from these. Option D about Germany cooperating is not implied here. The key is the assumption of defeating Nazi tyranny (Nazi Germany) first.

Answer:

C. the allied powers will defeat Nazi Germany.