Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 2 feet shorter than Z.
III) X is longer than Z.  Choices:
A) I only  B) II only  C) III only  D) I and II  E) II and III
Length of Z = z   Length of Y = z-2   Length of X = 2z-4   Minimum possible length of fence Z is 2 feet, because if we take the value for length of z below 2, lengths of Z and Y would be negative which is not possible.   If Z = 2   then Y = 0 and X = 0   When we add 3 feet in each fence, we will get   Z= 5   Y=3   X=3   Only Statement II holds true with above values.   ANSWER:II only
<result>B</result>
Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true?
I) X is twice as long as Y.
II) Y is 2 feet shorter than Z.
III) X is longer than Z.