Question:
What is the cost of laying the carpet in a rectangular hall?
Statement I. Cost of the carpet is Rs. 450 per square metre.
Statemnent II. Perimeter of the hall is 50 meters.
What is the cost of laying the carpet in a rectangular hall?
Statement I. Cost of the carpet is Rs. 450 per square metre.
Statemnent II. Perimeter of the hall is 50 meters.
Statement I. Cost of the carpet is Rs. 450 per square metre.
Statemnent II. Perimeter of the hall is 50 meters.
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When given perimeter information, we typically need both length and width to calculate the area. Without either or additional information, the area cannot be calculated.
Updated On: Mar 7, 2025
- If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- If the data even in both statements I and II together are not sufficient to answer the question.
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The Correct Option is D
Solution and Explanation
- Statement I: The cost of the carpet is Rs. 450 per square meter. This provides the cost of the carpet, but it does not give any information about the area of the hall (length and width), which is necessary to calculate the total cost.
- Statement II: The perimeter of the hall is 50 meters. While this gives us the perimeter, we still do not have enough information to calculate the area of the hall because perimeter alone does not provide the length and width.
- To calculate the cost of laying the carpet, we need the area of the hall. The area of a rectangle is given by \( \text{Area} = \text{Length} \times \text{Width} \). However, we don't have enough information to determine both the length and the width from either statement.
- Even if we combine both statements, we still cannot find the area because the perimeter provides one equation but two unknowns (length and width). Hence, we cannot solve for both variables, and therefore, we cannot determine the area of the hall.
Thus, the correct answer is (D), because the data provided in both statements is not sufficient to determine the cost of laying the carpet.
- To calculate the cost of laying the carpet, we need the area of the hall. The area of a rectangle is given by \( \text{Area} = \text{Length} \times \text{Width} \). However, we don't have enough information to determine both the length and the width from either statement.
- Even if we combine both statements, we still cannot find the area because the perimeter provides one equation but two unknowns (length and width). Hence, we cannot solve for both variables, and therefore, we cannot determine the area of the hall.
Thus, the correct answer is (D), because the data provided in both statements is not sufficient to determine the cost of laying the carpet.
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