The answer is: [A]: run. ______________________ The answer: _____________ Fat is to eating as elected is to run. ____________________ Explanation: _____________ Think of the relationship between "eating" and "fat"; and "fat" and eating". On a rudimentary level, fat people tend to "eat more"; and "eating more" tends to make one "fat"
So, doing something (verb or gerund) tends to result in a "one word outcome"; and all the answer choices given are "one word". As such, it makes sense that "run" is the best answer. Also, if one "runs", then one have a tendency to get "elected". Answer choice "A: run" is the only answer choice that makes sense.