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 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. How many candidates were interviewed everyday by the panel $A$ out of the three panels $A, B$ and $C$? I. The three panels on an average interview 15 candidates everyday. II. Out of a total of 45 candidates interviewed everyday by the three panels, the number of candidates interviewed by panel $A$ is more by 2 than the candidates interviewed by panel $C$ and is more by 1 than the candidates interviewed by panel $B$.

### Concept & Logic To find the exact number of candidates interviewed by a specific panel, we need algebraic equations that relate the panels to a known total sum, allowing us to solve for a single variable. ### Step-by-Step Solution * **From Statement I:** We are given the average of three panels ($A, B, C$) is 15. Sum $= A + B + C = 15 \times 3 = 45$. This gives us the total but no relative relationships between the individual panels to isolate $A$. Thus, Statement I alone is not sufficient. * **From Statement II:** We are given the total is 45 ($A + B + C = 45$). We are also given the relationships: $A = C + 2 \implies C = A - 2$ $A = B + 1 \implies B = A - 1$ Substituting these relative values into the total sum equation: $A + (A - 1) + (A - 2) = 45$ $3A - 3 = 45 \implies 3A = 48 \implies A = 16$ We can find a unique value for $A$. Thus, Statement II alone is completely sufficient. ### Exam Strategy & Shortcut When analyzing Statement II, as soon as you see a total sum explicitly given alongside independent linear relationships defining every other variable ($B$ and $C$) purely in terms of $A$, you know it is a solvable linear equation of one variable. You do not need to spend time actually calculating $A = 16$ during the exam; just recognize the algebraic structure guarantees a solution. ### Common Pitfall A common mistake is thinking you need both statements because Statement I gives the average, completely missing that Statement II already explicitly states "Out of a total of 45 candidates". Always read the statements in complete isolation first so you do not accidentally borrow data from Statement I to make Statement II work. ### Final Answer **Therefore, the correct answer is Data in Statement II alone are sufficient.**