When I was a beginner in the 1980s the consensus was “pick B” as some study (never named) at the time had shown that B had a tiny advantage over the other four letters. This gave us comfort in the situations in which you still had twenty-seven questions out of five hundred left to answer and the proctor droned, “You have five more minutes.” B, B, B, B, B, B, B…
The longest answer was often also the right answer. I know it was when I first started making up test questions, as an inexperienced test writer.
But. Once I got to higher level testing, a whole lot of phenomena occurred that invalidated that. Not just randomizing. Other test question writers would go over your “stem” and answers and look for weaknesses. If your question made it to the medical students, statistics were run on how they did to see if everyone got it right, no one got it right (both kinds of question were toseed from the next exam), or just some people got it right. If the people who were the top scorers on the exam got it right but no one else did, it was said to have a lot of discriminating power, and it was kept in if they wanted a highly discriminating exam. If the people in the top half or third usually got it right and those in the bottom half or third usually got it wrong, it would stay in forever; that’s the kind of question they wanted, the “Did you pay attention in class?” question.
Now that I make up CME credit exam questions, there’s a new wrinkie. The five answers have to go in alphabetical order by first letter of the answer. Now that’s an effective randomizer without requring any math. Suppose I say, “Which of these frequently posting Straight Dope members is an SDSAB? Twickster, Hal, Monty, Copperwindow, Eve,” then C is right. Alphabetize them and suddenly it’s “Copperwindow, Eve, Hal, Monty, Twickster,” and D is right. It’s next to impossible for the test question writer not to achieve randomness when she thinks of the answers by fiendishness qualities, and they get ordered by alphabet.
So the real question to you is, how tough is the exam you are taking? If it’s a friendly little thing one teacher has developed for his/her own class, B or C may be right if you don’t know what else to do. If it’s higher level, give it up, man. You have no hope of a better than 20% chance.
On a non-K-type question, that is.