Question

Mr. X starts walking northwards along the boundary of a field, from point A on the boundary, and after walking for 150 meters reaches B, and then walks westwards, again along the boundary, for another 100 meters when he reaches C. What is the maximum distance between any pair of points on the boundary of the field?
Statement A
A. The field is rectangular in shape.
Statement B
B. The field is a polygon, with C as one of its vertices and A the midpoint of a side.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

In geometry problems with shapes, knowing the type of shape may not always be enough; always check for additional dimensions or measurements required to answer the question.

Answer 1

The Correct Option is D

From Statement A: Knowing the field is rectangular, we can only hypothesize about distances based on rectangular geometry, but the exact distance between the points cannot be determined yet.
From Statement B: The information given allows for some analysis of the field's configuration but lacks specific measurements to answer the question.
Combining both statements does not provide sufficient information to calculate the maximum distance between any two points on the boundary. Therefore, the Correct Answer is (4).