A list of numbers has six positive integers. Three of those integers are known: 4, 5 and 24 and three of those are

A list of numbers has six positive integers. Three of those integers are known: 4, 5 and 24 and three of those are unknown: x, y and z. The three unknowns are known to be distinct. It is also known that the mean of the list is 10 and the median lies between 7 and 8 (exclusive).

Which of the following CANNOT be the value of any one of the unknowns?

(A) 13
(B) 12
(C) 11
(D) 10
(E) 5


OA C

Source: Veritas Prep