CAT 2024 Set-2 | Data Interpretation and Logical Reasoning | Question: 3

Question

The above is a schematic diagram of walkways (indicated by all the straight-lines) and lakes ($3$ of them, each in the shape of rectangles - shaded in the diagram) of a gated area.

Different points on the walkway are indicated by letters ( $\text{A}$ through $\text{P}$ ) with distances being $\text{OP} =150 \mathrm{~m}, \mathrm{ON}=\mathrm{MN}=300 \mathrm{~m}, \mathrm{ML}=400 \mathrm{~m}, \mathrm{EL}=200 \mathrm{~m}, \mathrm{DE}=400 \mathrm{~m}$.

The following additional information about the facilities in the area is known.

• A. The only entry/exit point is at $\text{C}$.
• B. There are many residences within the gated area; all of them are located on the path $\text{AH}$ and $\text{ML}$ with four of them being at $\text{A, H, M}$, and $\text{L}$.
• C. The post office is located at $\text{P}$ and the bank is located at $\text{B}$.

One resident takes a walk within the gated area starting from $\text{A}$ and returning to $\text{A}$ without going through any point (other than $\text{A}$) more than once. What is the maximum distance (in $\mathrm{m}$) she can walk in this way?