One day, I met two of my friends, Ajay and Vijay. Both of them tell the truth and lie on alternate days. On a particular day, if one of them tells the truth, then the other one lies.
For an explicit example, if Ajay lies today, then Vijay tells the truth. And tomorrow Ajay will tell the truth and Vijay will lie. And they both are known to this fact.
I asked Ajay, "Are you telling the truth today?"
He replied, "Yes, I am."
I asked him again, "If I ask Vijay the same question, how would he reply?"
He replied, "He would reply the same."
It can be concluded from the above statement that: