The challenge that Kennedy issues is for people to work to solve the country’s and the world’s problems. Option A is correct.
The passage is the following:
From John F. Kennedy’s Inaugural Address And so, my fellow Americans: ask not what your country can do for you—ask what you can do for your country. My fellow citizens of the world: ask not what America will do for you, but what together we can do for the freedom of man. Finally, whether you are citizens of America or citizens of the world, ask of us here the same high standards of strength and sacrifice which we ask of you. With a good conscience our only sure reward, with history the final judge of our deeds, let us go forth to lead the land we love, asking His blessing and His help, but knowing that here on earth God’s work must truly be our own.
An in the lines: "my fellow Americans: ask not what your country can do for you—ask what you can do for your country" and "My fellow citizens of the world: ask not what America will do for you, but what together we can do for the freedom of man," it is evident what is the challenge that is posed to all the Americans as a whole.