Let S be a set that consists entirely of even integers, and let T be the set that consists of each of the elements in S increased by two. Which of the following must be even?

I. the mean of T

II. the median of T

III. the range of T

If m and n are both even integers, which of the following must be true?

l. _m_2/_n_2 is even

ll. _m_2/_n_2 is odd

lll. _m_2 + _n_2 is divisible by four