Directions : Each of the questions below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the area of the hall ? I. Material cost of flooring per square metre is ₹ $2.50$. II. Labour cost of flooring the hall is ₹ $3500$. III. Total cost of flooring the hall is ₹ $14,500$.

### Concept & Logic The total cost of a flooring project is the sum of the material costs (which depend on the area) and the labour costs. $$ \text{Total Cost} = (\text{Area} \times \text{Material Cost per sq. m.}) + \text{Labour Cost} $$ ### Step-by-Step Solution Let's evaluate what information each statement provides: - **Statement I:** Gives the material cost rate (₹ $2.50$ per sq. m.). - **Statement II:** Gives the total labour cost (₹ $3500$). - **Statement III:** Gives the total overall cost of flooring (₹ $14,500$). Plugging these into our conceptual formula: $$ 14500 = (\text{Area} \times 2.50) + 3500 $$ To isolate and find the "Area", we must use the values provided in all three statements. Without any one of them, the equation remains unsolvable. $$ \text{Area} = \frac{14500 - 3500}{2.50} = \frac{11000}{2.50} = 4400 \text{ sq. m.} $$ ### Exam Strategy & Shortcut Write out the core formula connecting all given variables. Count the number of missing variables. If a single equation requires all pieces of provided data to leave exactly one unknown, then all statements are necessary. ### Common Pitfall Assuming the "Total cost" given in statement III or the "Material cost" in statement I inherently includes the labour cost. Reading carefully shows they are distinct components. ### Final Answer Therefore, the correct answer is **All I, II and III**.