Question

A path runs around a rectangular lawn. What is the width of the path?
Statement 1: The length and breadth of the lawn are in the ratio 3 : 1 respectively
Statement 2: The cost of constructing the path at Rs. 50 per sq.m is Rs. 8832

• A. Statement (1) alone is sufficient to answer the question
• B. Statement (2) alone is sufficient to answer the question
• C. Both the statements together are needed to answer the question
• D. Either statement (1) alone or statement (2) alone is sufficient to answer the question
• E. Neither statement (1) nor statement (2) suffices to answer the question

Answer 1

Answer: (E)

To determine the width of the path around a rectangular lawn, we need more specific information than what is provided in the two statements. Let's examine each statement:

1. Statement 1: The length and breadth of the lawn are in the ratio 3:1.

This statement tells us the proportion between the length and breadth of the lawn but does not provide any specific dimensions or information about the path's width.

2. Statement 2: The cost of constructing the path at Rs. 50 per sq.m is Rs. 8832.

While this statement gives the total cost of constructing the path, the cost alone is not sufficient to determine the width of the path without knowing the dimensions of the lawn itself.

Now, let's consider combining both statements:

Even when combining both statements, we still lack the specific measurements of the lawn's length and breadth or the specific area dimensions of the path. The ratio tells us how the length and breadth relate to each other, and the cost provides the total area of the path but not in a way that allows us to extract a specific width value without additional data.

Therefore, neither statement alone, nor both combined, provides enough information to determine the width of the path.

Conclusion: The correct answer is that neither statement (1) nor statement (2) suffices to answer the question. We do not have sufficient information to calculate the width of the path without more data about the actual dimensions.