Each question is followed by two statements I and II 1 If the question can be answered by any one of...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II.

1.If the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.

2.If the question can be answered by using either statement alone.

3.If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

4.If the question cannot be answered even by using both statements together.

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

I. The field is rectangular in shape.

II. The field is a polygon, with C as one of its vertices and A as the mid point of a side.

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Explanation:

Correct option:3

Solution:

Using only statement A, we know that the shape of th field is rectangle. We cannot infer anything else with only statement A. Using only statement B, we know that C is one of the vertices, but we do not know how many vertices exist. Using both A and B, we know that the field is rectangular in shape and the length and breadth are 300 metres and 100 metres. Hence, we can find the value of the which is the maximum distance between any two points inside the field.

Hence Both are required to give the answer.