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Find cost of paving a rectangular field at ₹12/m². Statement I: Length = diagonal of square(area=162). Length:breadth = 3:2. Statement II: Rectangle perimeter = (perimeter of square with area=4096) − 40.

1. 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.
2. If the data in Statement II alone are sufficient to answer the question, while the data in Statement l alone are not sufficient to answer the question.
3. If the data either in Statement I or in Statement II alone are sufficient to answer the question.
4. If the data in both Statements I and II together are necessary to answer the question.

Correct answer: 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.

Solution

I: Square area=162 → side=√162. Diagonal=√(2×162)=√324=18. Length=18, breadth=18×2/3=12 (ratio 3:2). Area=216m². Cost=216×12=₹2592 ✓. II: Square side=√4096=64, perimeter=256. Rectangle perimeter=216. l+b=108. Without ratio, infinite solutions → insufficient ✗.

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