X is a set containing 8 different positive odd numbers. Y is a set containing 7 different numbers, all of which are members of X. Which of the following statements CANNOT be true?  Choose the correct choice from the following options.
A) The range of Y is even.  B) The mean of X is even.  C) The mean of Y is even.  D) The range of X is equal to the range of Y.  E) The median of Y is equal to the mean of Y.
Option C.   Given: X is a set containing 8 different positive odd numbers   Easily inferred: Y is a set containing 7 different odd numbers   (A) The range of Y is even. - Always even, since it is a difference of two odd numbers   (B) The mean of X 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 Y is even. - Cannot be. Mean = (sum of 7 odd numbers)/7 = Odd number/odd number thus cannot be even.   (D) The range of X is equal to the range of Y.   (E) The median of Y is equal to the mean of Y   The mean of Y is even.
<result>C</result>
X is a set containing 8 different positive odd numbers. Y is a set containing 7 different numbers, all of which are members of X. Which of the following statements CANNOT be true?