The town of Paranda is located on Green lake. The town of Akram is to the west of Paranda. Tokhada is to the east of Akram but to the west of Paranda. Kokran is east of Bopri but west of Tokhada and Akram. If they are all in the same district, which town is the farthest west?
Bopri
This question asks us to determine which town is the farthest west based on the given information about their relative positions.
Let's break down each statement and represent the relationships between the towns. We will use the symbol '<' to mean 'is to the west of' or equivalently, '>' to mean 'is to the east of'.
Now, let's combine all the relationships we have:
We want to find the town farthest west. This means we are looking for the town that is to the west of all other towns.
From relationship 4 (Kokran < Akram), we know Kokran is west of Akram.
From relationship 1 (Akram < Tokhada < Paranda), we know Akram is west of Tokhada and Paranda.
Since Kokran is west of Akram, and Akram is west of Tokhada and Paranda, Kokran must also be west of Tokhada and Paranda. (Kokran < Akram < Tokhada < Paranda).
Now let's consider Bopri. From relationship 2 (Bopri < Kokran), we know Bopri is west of Kokran.
Putting it all together, we have found the order from west to east:
Bopri < Kokran < Akram < Tokhada < Paranda
Therefore, the town that is the farthest west is Bopri.
| Statement | Relationship (West < East) |
|---|---|
| Akram is west of Paranda | Akram < Paranda |
| Tokhada is east of Akram | Akram < Tokhada |
| Tokhada is west of Paranda | Tokhada < Paranda |
| Kokran is east of Bopri | Bopri < Kokran |
| Kokran is west of Tokhada | Kokran < Tokhada |
| Kokran is west of Akram | Kokran < Akram |
Combining these relationships logically:
Kokran is west of Akram (Kokran < Akram).
Akram is west of Tokhada (Akram < Tokhada).
Tokhada is west of Paranda (Tokhada < Paranda).
So, Kokran < Akram < Tokhada < Paranda.
Bopri is west of Kokran (Bopri < Kokran).
Adding Bopri to the beginning of the sequence gives: Bopri < Kokran < Akram < Tokhada < Paranda.
The town at the leftmost side of this ordered sequence is Bopri.
| Position (West to East) | Town |
|---|---|
| 1st (Farthest West) | Bopri |
| 2nd | Kokran |
| 3rd | Akram |
| 4th | Tokhada |
| 5th (Farthest East) | Paranda |
Based on the step-by-step analysis and the final ordering, Bopri is the town farthest to the west.
Relative location problems are common types of spatial reasoning questions. They require you to understand directional terms like 'north', 'south', 'east', and 'west', and piece together multiple clues to determine the final arrangement or position of items.
Key strategies for solving such problems include:
In this specific problem, we focused only on the east-west dimension. Other problems might involve north-south or even positions relative to landmarks like the Green lake mentioned for Paranda (though the lake wasn't needed to solve the relative east-west positions). The key is to isolate the relevant directional information and build the sequence step-by-step.
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