One of Kanchana, Damitha, Ranjan, Roshan or Pooja broke a vase. The following is what each of them had to tell about the person who broke the vase- only one of these statements is false and others are true.
1)Kanchana- Damitha broke it
2)Damitha- Kanchana lied
3)Ranjan- I did not break it
4)Roshan- I did not break it
5)Pooja- Ranjan or Kanchana broke it.
Who broke the vase??
Damitha said that Kanchan broke the vase and Pooja said that either Ranjan or Kanchan broke it, so both statements are true as there are no contradictions.
No contradictions from Ranjan and Roshan saying that they didn't break the vase.
The only inconsistency is that Kanchan saying that Damitha broke the vase. Because Damitha said that Kanchan lied and Pooja thinks Kanchan broke it. So the statement made by Kanchan is false and Kanchan is the one who broke the vase.