Directions: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) 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; Give answer (b) 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; Give answer (c) if the data either in Statement I or in Statement II alone are sufficient to answer the question; Give answer (d) if the data even in both Statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both Statements I and II together are necessary to answer the question. What is the area of the rectangular plot ? I. The length of the plot is 375 metres. II. The length of the plot is thrice its breadth.

### Concept & Formula To find the area of a rectangle, we need both its length ($L$) and breadth ($B$). $$ \text{Area} = L \times B $$ ### Step-by-Step Solution 1. **Analyze Statement I:** The length of the plot is 375 metres. This gives us $L$, but we don't know $B$. Thus, we cannot find the area. Statement I alone is insufficient. 2. **Analyze Statement II:** The length of the plot is thrice its breadth ($L = 3B$). This gives a relationship between $L$ and $B$, but no exact values. Thus, we cannot find the area. Statement II alone is insufficient. 3. **Combine Statements I and II:** From I, $L = 375$. From II, $L = 3B \Rightarrow 375 = 3B \Rightarrow B = 125$. Now we have both $L$ and $B$, so we can confidently calculate the area. 4. Therefore, both statements together are necessary to answer the question. ### Exam Strategy & Shortcut For data sufficiency questions involving geometric area, you generally need two distinct independent pieces of information (like length and breadth, or one side and a ratio). Since statement I gives only one value and statement II gives only a ratio, neither is sufficient alone, but combining them provides the exact dimensions required. ### Common Pitfall A common mistake is spending time calculating the final numerical area. In data sufficiency, you only need to determine *if* you can find the answer, not what the actual answer is. ### Final Answer Therefore, the correct answer is **if the data in both Statements I and II together are necessary to answer the question.**