CAT 1999 | Question: 158

Question

The question is followed by two statements I and II.

Mark

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

Mr X starts walking northwards along the boundary of a field from point A on the boundary, and after walking for $150 \; \text{m}$ reaches B, and then walks westwards, again along the boundary, for another $100 \; \text{m}$ when he reaches C. What is the maximum distance between any pair of points on the boundary of the field?

1. The field is rectangular in shape.
2. The field is a polygon, with C as one of its vertices and A as the mid-point of a side.

Answer 1

We know breath and length of the field

if the field is rectangular then we can measure maximum distance of any two points is AC=√(100^2 + 150^2)

if it is a polygon then also max distance is AC

So, Ans B)