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