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 given question. Read.

Question

Solve this multiple-choice question and choose the correct option.

Curioustab · Accepted Answer

### Concept & Logic To solve a Data Sufficiency problem, you do not need to find the final numerical answer. You only need to verify if the given statements provide enough distinct information to form an equation with a single unknown variable. ### Step-by-Step Solution **Given:** * Sachin's salary = ₹ 4000. **Evaluating Statement I:** * Let Rajan's salary be $R$. * The average of their salaries is: $$Average = \frac{R + 4000}{2}$$ * According to Statement I, Rajan gets ₹ 500 more than this average: $$R = 500 + \frac{R + 4000}{2}$$ * This gives us a linear equation with only one variable ($R$). Solving this will yield a unique value for $R$. * Therefore, Statement I alone is sufficient. **Evaluating Statement II:** * The average of their salaries is ₹ 4500: $$\frac{4000 + R}{2} = 4500$$ * This also forms a simple linear equation with one variable ($R$). * Therefore, Statement II alone is sufficient. ### Exam Strategy & Shortcut In Data Sufficiency, never waste time fully solving the equations unless it's to check for multiple roots (like quadratics). The moment you see a distinct linear equation with one unknown ($R$), you can instantly conclude that the statement is sufficient. Both statements provide a direct, distinct path to find $R$. ### Common Pitfall A common mistake is actually calculating the final salary (which is ₹ 5000 in both cases) and burning precious exam time. Data sufficiency tests logic and conditionality, not arithmetic execution. ### Final Answer **Therefore, the correct answer is If the data either in Statement I or in Statement II alone are sufficient to answer the question.**

Answer

Explanation