Step 1: Analyzing the clues.
The clues are: Gum, Cup, Beer, and Rob. Let’s analyze the possible connections.
Step 2: Exploring the alternatives.
(A) Ale: "Ale" doesn’t fit with the clues, as it’s related to a drink, but not specifically linked to gum, cup, or rob.
(B) Steal: "Steal" could be associated with "rob," but doesn’t connect with the other clues.
(C) Mug: "Mug" is a better option for "Cup" but doesn’t connect to "Gum" or "Rob."
(D) Blanket: A blanket doesn’t fit with any of the clues.
(E) Rubber: "Rubber" can be associated with "Gum" (rubber gum), and "Rubber" is a material that could also be linked to "Cup" (rubber cups), "Beer" (rubber gaskets in beer cans), and "Rob" (rubber gloves).
Step 3: Conclusion.
The correct answer is (E) Rubber, as it connects all the given clues in some manner.