Average - General Aptitude

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 the both 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 average interview 15 candidates every day.

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.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answer

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:B - II alone sufficient while I alone not sufficient to answer

I. Total candidates interviewed by 3 panels = (15 x 3) = 45. II. Let x candidates be interviewed by C. Number of candidates interviewed by A = (x + 2). Number of candidates interviewed by B = (x + 1). x + (x + 2) + (x + 1) = 45 3x = 42 x = 14 Hence, the correct answer is (B).

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