We are essentially considering the summation of a weak excitatory postsynaptic potential (EPSP) and a strong inhibitory postsynaptic potential (IPSP). Since both signals are received around the same time, the stronger signal will dominate—in this case, the inhibitory stimulation. Assuming that the signals are of different magnitudes, the neuron will most likely not fire because the excitatory stimulation was too weak or because the inhibitory signal was strong[er] than the excitatory signal.
The former is not among the answer choices. Thus, the most likely answer is the first choice: “No, because the inhibitory stimulation was strong.”