Step 1: Understanding the Question:
The problem describes a treasure hunt scenario where the search area is defined by a triangle. The vertices of the triangle are in Bihar, Telangana, and Rajasthan. The treasure (red dot) is located on one of the sides of this triangle. We need to identify which of the given states could contain the treasure.
Step 2: Geographical and Geometric Analysis:
The treasure lies on a line segment connecting two of the three central state locations. We must consider all three possible sides of the triangle:
Line between Rajasthan and Bihar: A straight line connecting central Rajasthan (e.g., Jaipur) and central Bihar (e.g., Patna) passes primarily through Uttar Pradesh.
Line between Rajasthan and Telangana: A straight line connecting central Rajasthan and central Telangana (e.g., Hyderabad) passes through large parts of Madhya Pradesh and Maharashtra.
Line between Bihar and Telangana: A straight line connecting central Bihar and central Telangana passes through Jharkhand and a large part of Chhattisgarh.
Step 3: Evaluating the Options:
We check which of the option states lie on any of these three potential paths.
A. West Bengal: Not on the primary path of any of the three lines.
B. Chhattisgarh: Lies directly on the path between Bihar and Telangana. This is a possible location.
C. Punjab: Located northwest of Rajasthan, not between any of the three vertices.
D. Madhya Pradesh: Lies directly on the path between Rajasthan and Telangana. This is a possible location.
Step 4: Final Answer:
Since the treasure could be on the side connecting Bihar and Telangana (passing through Chhattisgarh) or on the side connecting Rajasthan and Telangana (passing through Madhya Pradesh), both Chhattisgarh and Madhya Pradesh are states where one could hunt for the treasure.