U is a set containing 8 different positive odd numbers. V is a set containing 7 different numbers, all of which are members of U. Which of the following statements CANNOT be true?
Pick one
A) The range of V is even.  B) The mean of U is even.  C) The mean of V is even.  D) The range of U is equal to the range of V.  E) The median of V is equal to the mean of V.
Given: U is a set containing 8 different positive odd numbers   Easily inferred: V is a set containing 7 differentoddnumbers   (A) The range of V is even. - Always even, since it is a difference of two odd numbers   (B) The mean of U is even. - can be. suppose 8 numbers consist of 4 pairs of (16n-1,16n+1) for different values of n. Adding these will give a multiple of 16, which when divided by 8 (to arrive at mean), will give an even number   (C) The mean of V is even. - Cannot be. Mean = (sum of 7 odd numbers)/7 = Odd number/odd number thus cannot be even.   (D) The range of U is equal to the range of V.   (E) The median of V is equal to the mean of V   Option The mean of V is even..
<result>C</result>
U is a set containing 8 different positive odd numbers. V is a set containing 7 different numbers, all of which are members of U. Which of the following statements CANNOT be true?