The question tells you when Cu is place in H20, no reaction takes place. This is a clue to inform you that the redox reaction fails with hydrogen alone as it wont be reduced.
HNO3(aq) also contains H20 as it is aqueous, but its the HNO3 part that lets the reaction take place.
If hydrogen could be reduced in the reaction, the Cu would have reacted with H20 in the first part of the question. That clue they give you eliminates hydrogen.
To further elaborate. The standard potential for Cu2+ to Cu(s) is positive, form H+ to H2(g) is actually zero. For a redox reaction to be spontaneous, E>0. Converting Cu(s) to Cu2+ is gives a negative E so the reduction reaction that must occur with the oxidation of copper must be positive an MUCH larger than zero.
It should be known for the MCAT, that Cu2+ to Cu(s) is positive and Zn2+ to Zn(s) as well as Pb2+ to Pb(s) are negative