I'm not the best at these, but this seems like a q=mc(deltaT) problem.
Although you have a conversion issue of Kelvin to Celsius, I don't think it matters because it still gives you a deltaT of 100. So I would solve it pretty much like you did:
m=q/c(deltaT)
m=7.6*10^13/4.2*10^3(10^2)=1.8*10^8.
I would have picked D although it is off by a power of 10. Answer A is also off by a power of 10 from what the solution would be if you applied the efficiency rating to the nuclear energy output (which the question stem says NOT to do). Weird! Maybe someone smarter will come along and point out why it is not a mistake.
Do you have the solution from the materials?