Step 1: Understand each theory carefully.
Cellular-Clock Theory: Suggests that cells can divide only a certain number of times. (matches (iii))
Wear-and-Tear Theory: Suggests that over time, organs and tissues get damaged with use. (matches (iv))
Free-radical Theory: Suggests ageing occurs because of unstable oxygen molecules damaging cells. (matches (i))
Activity Theory: Suggests that staying active leads to more positive ageing. (matches (ii))
Step 2: Match correctly.
\[
\begin{aligned}
P &\rightarrow (iii) \quad \text{(Cells are limited in replication)} \\
Q &\rightarrow (iv) \quad \text{(Wear and tear of tissues)} \\
R &\rightarrow (i) \quad \text{(Free radicals damaging cells)} \\
S &\rightarrow (ii) \quad \text{(Activity helps positive ageing)}
\end{aligned}
\]
Thus, the correct matching is:
\[
\boxed{(D) \, P\text{-}iii;\, Q\text{-}iv;\, R\text{-}i;\, S\text{-}ii}
\]