@Arjun
for given question i have doubt on option c, bcoz range of at least 1 = [1,.....infinity)
now {2,3,4,...infinity} subset of [1,2,...infinity) so it hav no of cycle is only possible is one , to being a statement true if it fails for any counterexample then it should not be true there are so many counterexamples for that at least one is false so c should not be the answer