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 opens with "after the final destruction of the Nazi tyranny", which assumes that the Allied powers will successfully defeat Nazi Germany to reach this post-tyranny state. The other options contradict the text: the statement aims for global peace and freedom from fear/want, so it does not assume peace is impossible or that fear/want will persist, and it references destroying Nazi tyranny, not German cooperation.

Answer:

the allied powers will defeat Nazi Germany.