If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?\nOptions:\n(A) xy/z\n(B) (x + y) /z\n(C) xz/y\n(D) (x - y) /z\n(E) (x + z) /y Now, let's think a bit. Some random thoughts:
User
As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.
The final answer: (E).
Assistant