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Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the total cost of gardening the park? I. In a rectangular plot of length 120 metre and breadth 80 metre a circular park is made in it's centre surrounded by a pavement of thickness 3 metre. II. The diameter of the park including the pavement is 20 metre and the cost of gardening the park is Rs.85 per m2.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the total cost of gardening the park? I. In a rectangular plot of length 120 metre and breadth 80 metre a circular park is made in it's centre surrounded by a pavement of thickness 3 metre. II. The diameter of the park including the pavement is 20 metre and the cost of gardening the park is Rs.85 per m2. Correct Answer <p>If the data in both statements I and II together are needed to answer the question.</p>

Using statement I

Total area of the rectangular plot = 120 × 80 = 9600m2

Thickness of the pavement = 3 metre

Statement I alone is not sufficient to answer the question

 

Using statement II

The diameter of the park including the pavement is 20 metre 

Cost  of gardening the park is Rs.85 per m2

Statement II alone is not sufficient to answer the question

 

Using statement I and statement II together 

The thickness of the pavement = 3 metre

∴ Diametre of the park = 20 – (3 + 3) = 14 meter 

∴ Area of the circular park = (π/4) × (14)2 = (22/28) × 14 × 14 = 154 m2

Cost  of gardening the park is Rs.85 per m2

∴ Total cost of gardening the park = 154 × 85 = Rs.13,090

∴ The data in both statements I and II together are needed to answer the question.

 

 

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