smkohnstamm
Gentlemen,
I sincerely appreciate your responses. Your detailed and careful consideration of -- and response to -- my point of view is impactful and extremely helpful.
As a point of consideration to continue the conversation (should it be desired to be continued

) I'd like to look at a question on the exam that I've just reviewed.
The question I'd like to inspect posits the equation including integer k, where k is a value between 1 and 9, is added to 29736 and equals N. If we know that N is divisible by 9, can we determine the value of k. The solution requires a simple application of the fact that if the sum of the digits of 29736 is divisible by 9 then 29736 is divisible by 9. This is an easy question once you recall the rule that a long integer is divisible by 9 if the sum of its digits are divisible by 9.
Ok, my question here is what is the implication of this knowledge? Why, besides answering questions on this specific exam, would it be useful to know that the sum of the digits of a number being divisible by 9 means that the number is divisible by 9? I understand that this is a clever trick and that its handy to use on this non-calculator allowing test, but why is this something that I should add to my memory banks besides passing the test? What knowledge is this examining besides the fact that I memorized this
trick, and correctly applied it? Is there number theory here that I'm not understanding that's important for me to represent? Furthermore, is this not a representation of the test being slanted towards formula memorizers / rote recallers?
If it is a memorization thing, fine, but why is this useful to know? In case I'm stuck in an elevator at Goldman Sacks and someone presents to me an equity deal for 1/9th of a company valued at 2.9736 Billion dollars, and it happens to be that my phone ran out of batteries?
Again, I don't want this conversation to come of as combative, that is not the point of my inquiry here. I want to understand if this exam is something that I morally agree with. Do the people that the exam tests to elicit and the group of peers that I'll be working with in the future align in the same group? Do I find to be important what the GMAT finds to be important? It is imperative, in my mind, to answer this before "paying" --if you will-- the opportunity cost of the time spent studying for this exam.
Thank you again,
Simon
Dear Simon,
I'm happy to respond again.
Yes, you are 100% correct that at some level, there is something a little contrived about the entire idea of standardized testing. Let's call the divisibility-by-9 trick a math factoid. It's true that there are all kinds of math factoids (numbers patterns, geometry facts, algebra facts, etc.) that you need to excel on the GMAT and that presumably will
not need once you have your MBA and are ensconced in a business career.
Part of the defense of standardized tests such as the GMAT is that many of these math factoids you would remember from high school math, and others you learn and remember as part of studying. The factoids themselves are not nearly as important as
the fact that you have a brain that can remember all this. This is encouraging to business schools and employers, because folks who can learn and retain a lot of picayune detailed information can be very good to have around.
This is the logic behind correlations. GMAC, the company that makes the GMAT, demonstrates its worth to business schools by demonstrating correlations. The GMAC folks have been able to show, time and time again, that a high score on the GMAT is highly correlated with academic scores in business school. In other words, business schools can take a high GMAT score and conclude: this person is likely to be able to handle intellectually our academic requirements. Again, the individual factoids don't matter at all. What matters is the raw CPU of your brain, and the GMAT purports to give an objective measurement of this.
In this sense, the GMAT is a kind of context-specific IQ test, and in fact, GMAT score, like all standardized test scores, is highly correlated with more formal measures of IQ. See this article, for my skeptical take on the entire idea of of IQ:
https://magoosh.com/gmat/2013/gmat-and-iq-correlation/The entire drive to quantify every aspect of what it is to be human is a sickness of the modern world, that has only gotten more intense in the electronic age. The most human thing would be for someone to meet with you personally, interact with you, get to know you, and through this process, appraise your intelligence and mental fitness. Obviously, in our breathless modern world, there's no time for that. We need a proxy, some quick indication that, yes, this individual has the smarts to handle business school academically. For better or worse, the means used for answering this question is the GMAT.
If you search the factoids you need to know for the GMAT to understand the meaning of the GMAT, you will miss the point. The GMAT is intellectually challenging and difficult and demanding. If you can come through this well, then folks in the business world have some indication that you will be able to handle the thousand intellectually challenging and difficult and demanding situations of the modern business world. People who simply crack under pressure are weeded out, because anyone who easily cracks under pressure doesn't belong in the modern business world in the first place. The larger context in which the GMAT is used, and the messages different folks assign to its scores, create the meaning of the GMAT. When you take the GMAT, you have a certain experience of the test questions: that experience has absolutely nothing to do with the meaning of the GMAT---but how you respond to this experience, how you thrive in the face of that experience: that has everything to do with the meaning of the GMAT.
Relatedly, the factoid-filled mindset that promotes success on the GMAT is extremely different from the broad philosophical mindset that can understand the meaning of the GMAT. These questions are fun to explore, but at some point, you have to drop the philosophy and dive back into the ocean of factoids. Folks who can't do that are also weeded out by the GMAT, and they go on to be philosophers or poets or something like that---not a bad fate, if that is what you want.
Does all this make sense?
Mike