3)127.1.1.1 is used for loop back address ,so it may be the right option(but this can testify ur layers only not the connectivity to the internet). because u can run loopback address even without having any internet connection.
but bigger question is that why else are wrong?
1)198.168.1.0 this one is surely not the answer because this is not a host or system address it is a network id so it cant be correct.
2)198.168.1.1 is wrong because when u send control packet to that host it does not go outside lan network as it is a private ip
4)127.0.0.0 this is again treated as network id so cant be the answer
but let if another option is given such as 192.168.1.2 in which source and destination are same then it is the sure right answer because it can be only done if u r connected to internet unless this will fails giving message destination unreachable.
i done all this practically but then also correct me if i was wrong!!!