Directions: Each of the questions below consists of a statement and/or a question and two statements labelled I and II given below it. You have to decide whether the data provided in the statements 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; and Give answer (e) if the data in both Statements I and II are necessary to answer the question. Rohan and Sachin together earn ₹ 14000 per month. How much does Rohan earn? I. Their salaries are in the ratio 3 : 4. II. Sachin earns ₹ 2000 per month more than Rohan.

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

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

if the data even in both Statements I and II together are not sufficient to answer the question

if the data in both Statements I and II are necessary to answer the question

[Solved] Directions: Each of the questions below consists of

Answer

Correct Answer: if the data either in Statement I or in Statement II alone are sufficient to answer the question

Explanation

### Concept & Linear Equations The question provides one fundamental equation: Let Rohan's salary be $R$ and Sachin's salary be $S$. Given: $R + S = 14000$. To find the value of a single variable ($R$), we need one more independent equation involving $R$ and/or $S$. ### Step-by-Step Solution * **Analyzing Statement I:** * Given ratio $R : S = 3 : 4$. This gives us the equation $S = \frac{4}{3}R$. * Substitute into the main equation: $R + \frac{4}{3}R = 14000 \Rightarrow \frac{7}{3}R = 14000$. * We can easily solve this for $R$ ($R = 6000$). * Statement I alone is sufficient. * **Analyzing Statement II:** * Given Sachin earns ₹ 2000 more than Rohan. This gives the equation $S = R + 2000$. * Substitute into the main equation: $R + (R + 2000) = 14000 \Rightarrow 2R = 12000$. * We can easily solve this for $R$ ($R = 6000$). * Statement II alone is also sufficient. ### Exam Strategy & Shortcut Count the variables and equations. The question stem gives one equation with two variables. Each statement provides a second, independent equation. A system of two distinct linear equations with two variables is always solvable. ### Common Pitfall Wasting time calculating the final values (₹ 6000 and ₹ 8000) is unnecessary. As soon as you establish that an independent, solvable equation exists, mark it sufficient and move on. ### 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**.