700 level

An interesting 700 level GMAT problem-solving practice question from statistics and averages.

Concept tested: Median, range, and average of a set of numbers.

Question
Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 less than x less than 40 and 0 less than y less than 40, which of the following MUST be true?
I. The maximum possible range of the set is greater than 33.
II. The median can never be an even number.
III. If y = 37, the average of the set will be greater than the median.

A. I only
B. I and II only
C. I and III only
D. III only
E. I, II, and III

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