Question

If N is a positive odd integer, what is the average of a certain set of N integers? (1) The integers in the set are consecutive multiples of 3 (2) The median of the set of integers is 33

Your Answer
A

If the question can be answered with statement 1 alone

Your Answer
B

If the question can be answered with statement 2 alone

Correct Answer
C

If both statement 1 and statement 2 are needed to answer the question and

Your Answer
D
If the question cannot be answered even with the help of both statements

Solution

The correct option is C If both statement 1 and statement 2 are needed to answer the question and (1) Insufficient. There is no way to find out the mean using this. Consider one set {3, 6, 9} and another {6, 9, 12}. (2) Insufficient. Knowing that there is an odd number of terms in the set and that the median is 33 does not tell us what the mean is. (1&2) Sufficient. In an ordered set with an odd number of terms, the median is equal to the "middle" term. Moreover, in an equally distributed set of integers (in this case, consecutive multiples of 3) the median will be equal to the mean itself.

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