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
Answer: Option B
Explanation:
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).
I. The age of the teacher is as many years as the number of children.
II. Average age is increased by 1 year if the teacher's age is also included.
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
Answer: Option D
Explanation:
Let there be x children. I gives, age of teacher = x years. II gives, average age of (x + 1) persons = (x + 1) years. Teacher's age = (x + 1) (x + 1) - x2 = (x2 + 1 + 2x) - x2 = (1 + 2x) Thus, teacher's age cannot be obtained. Correct answer is (D)