Question

How many candidates were interviewed everyday by the panel 'A' out of the three panels A, B and C?
Statement I. The three panels on an average can interview 15 candidates every day.
Statement II. Out of a total of 45 candidates interviewed everyday by the three panels, the no. of candidates interviewed by panel 'A' is less by 2 than the candidates interviewed by panel 'C' and is less by 1 than the candidates interviewed by panel 'B'.

• A. If the data in statement I alone are sufficient to answer the question,while the data in statement II alone not sufficient to answer the question;
• B. If the data in statement II alone are sufficient to answer the question,while the data in statement I all are not sufficient to answer the question;
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question;
• D. If the data even in both statements I and II together are not sufficient to answer the question;
• E. If the data in both statements I and II together are necessary to answer the question.

Answer 1

Answer: (B)

If the data in statement II alone are sufficient to answer the question,while the data in statement I all are not sufficient to answer the question;

Statement I is not sufficient. Average does not provide exact number of candidates interviewed by panel A.

From statement II:

$A=C-2=B-1$ and

$A+B+C=45$

$\Rightarrow A+A+1+A+2=45$

$\Rightarrow 3A=42$

$\Rightarrow A=14$

Hence, statement II is sufficient to answer the question.