Given the following notation for directions and distances between points: - $P@Q$ means $P$ is East of $Q$ and the distance between $P$ and $Q$ is either $4 ext{ m}$ or $15 ext{ m}$. - $P\#Q$ means $P$ is West of $Q$ and the distance between $P$ and $Q$ is either $7 ext{ m}$ or $18 ext{ m}$. - $P&Q$ means $P$ is North of $Q$ and the distance between $P$ and $Q$ is either $4 ext{ m}$ or $15 ext{ m}$. - $P\%Q$ means $P$ is South of $Q$ and the distance between $P$ and $Q$ is either $7 ext{ m}$ or $18 ext{ m}$. Given the relations: - $J&K\#L%M$ - $B&N\#M$ - $BN

Question

Given the following notation for directions and distances between points:

- $P@Q$ means $P$ is East of $Q$ and the distance between $P$ and $Q$ is either $4 	ext{ m}$ or $15 	ext{ m}$.
- $P\#Q$ means $P$ is West of $Q$ and the distance between $P$ and $Q$ is either $7 	ext{ m}$ or $18 	ext{ m}$.
- $P&Q$ means $P$ is North of $Q$ and the distance between $P$ and $Q$ is either $4 	ext{ m}$ or $15 	ext{ m}$.
- $P\%Q$ means $P$ is South of $Q$ and the distance between $P$ and $Q$ is either $7 	ext{ m}$ or $18 	ext{ m}$.

Given the relations:

- $J&K\#L%M$
- $B&N\#M$
- $BN < MN < KL$
- $JK > ML$

What is the direction of $K$ with respect to $B$?

Accepted Answer

**Solution:**

1. Understand the notation:
   - $P@Q$: $P$ is East of $Q$ (distance $4$ or $15$ m)
   - $P\#Q$: $P$ is West of $Q$ (distance $7$ or $18$ m)
   - $P&Q$: $P$ is North of $Q$ (distance $4$ or $15$ m)
   - $P\%Q$: $P$ is South of $Q$ (distance $7$ or $18$ m)

2. Analyze the given relations:
   - $J&K\#L%M$ means:
     - $J$ is North of $K$
     - $K$ is West of $L$
     - $L$ is South of $M$

- $B&N\#M$ means:
     - $B$ is North of $N$
     - $N$ is West of $M$

3. The inequalities $BN < MN < KL$ and $JK > ML$ provide information about relative distances.

4. From the directions and distances, plotting or logically deducing the relative positions shows that $K$ lies to the South-West of $B$.

**Answer:** South-west

Answer

Answer

Answer

Answer