How much will it cost for the tiles on the walls and floor of a 3 m-high, 12 m-by-16 m-squared room? The room has one door and two windows.Statement A: The price of a square meter of tiles is 20 rupees.Statement B: The size of the tile is 1.5m by 1.5mStatement C: Each window has a 6 square meter surface area, which is 40% of the door’s surface area.aOnly statement A is sufficient to answer the question.bStatements A and B are sufficient to answer the question.cStatements A and C are sufficient to answer the question.dStatements A, B, and C are sufficient to answer the question.
Question
How much will it cost for the tiles on the walls and floor of a 3 m-high, 12 m-by-16 m-squared room? The room has one door and two windows.Statement A: The price of a square meter of tiles is 20 rupees.Statement B: The size of the tile is 1.5m by 1.5mStatement C: Each window has a 6 square meter surface area, which is 40% of the door’s surface area.aOnly statement A is sufficient to answer the question.bStatements A and B are sufficient to answer the question.cStatements A and C are sufficient to answer the question.dStatements A, B, and C are sufficient to answer the question.
Solution
To answer this question, we need to calculate the total area of the walls and floor that need to be tiled, subtract the areas of the door and windows, and then multiply by the cost per square meter of tile.
Step 1: Calculate the total area of the walls and floor. The floor area is 12m * 16m = 192 square meters. The wall area is 2*(3m12m + 3m16m) = 168 square meters. So, the total area is 192m^2 + 168m^2 = 360 square meters.
Step 2: Calculate the area of the door and windows. From Statement C, we know that each window is 6 square meters and the door is 2.5 times the size of a window. So, the door is 6m^2 * 2.5 = 15 square meters. The total area of the door and windows is 15m^2 + 2*6m^2 = 27 square meters.
Step 3: Subtract the area of the door and windows from the total area. The area that needs to be tiled is 360m^2 - 27m^2 = 333 square meters.
Step 4: Multiply by the cost per square meter of tile. From Statement A, we know that the cost per square meter of tile is 20 rupees. So, the total cost is 333m^2 * 20 rupees/m^2 = 6660 rupees.
Statement B is not needed to answer the question, as the size of the individual tiles does not affect the total cost.
So, the answer is c. Statements A and C are sufficient to answer the question.
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