Four persons: $\text{P, Q, R}$ and $\text{S}$ are in police custody and one of them has committed a crime. They confess as follows:
- Person $\text{P: Q}$ did it.
- Person $\mathrm{Q}$ : $\mathrm{S}$ did it.
- Person $\text{R}$: I did not do it.
- Person $\mathrm{S}$ : $\mathrm{Q}$ lied.
If exactly one of the statements is false, which of the following is the guilty person.
- $\mathrm{P}$
- $\mathrm{Q}$
- $\mathrm{R}$
- $\mathrm{S}$
(Option $1[39641]) 1$
(Option $2[39642]) 2$
(Option $3[39643]) 3$
(Option $4 [39644]) 4$
Answer Given by Candidate: $2$
