Step 1: Identify the cities.
We must order Asian Games hosts: (K) Jakarta, (L) Doha, (M) Beijing, (N) Seoul.
Step 2: Recall Seoul's year.
Seoul hosted in 1986, the earliest of the four.
Step 3: Recall Beijing's year.
Beijing hosted in 1990, just after Seoul.
Step 4: Recall Doha's year.
Doha hosted in 2006, well after Beijing.
Step 5: Recall Jakarta's year.
Jakarta hosted in 2018, the most recent of the four.
Step 6: Order them.
The chronological order $1986 \rightarrow 1990 \rightarrow 2006 \rightarrow 2018$ gives $\text{N} \rightarrow \text{M} \rightarrow \text{L} \rightarrow \text{K}$, option A.
\[ \boxed{\text{N} \rightarrow \text{M} \rightarrow \text{L} \rightarrow \text{K}} \]