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This difficulty GMAT quant question tests concepts in number properties and statistics including elementary properties of prime numbers, odd and even numbers, mean, median and range.
Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 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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