Opposites Can Be Good...Or Bad!
Opposite personalities can compliment one another if they try to understand the other's perspective. Perhaps this is why opposites often marry and lead a very full life, since each makes up for the other's weaknesses and each brings important characteristics into the relationship.
However, opposites can be bad, especially if undetected and not properly managed in the work environment. We have seen many examples where a client will call us complaining of turnover in the Sales department, for example. They need a better way to "test" sales people because the ones they hire never seem to last long.
After testing their sales staff, we sometimes find that their personalities should be very good for the job they are doing, but when we test their manager or supervisor, we find that they are being managed by an Opposite Personality who expects them to do things in a way that is incompatible with the sales people's personality.
An example you'll see us use often is Oscar Madison and Felix Unger from the old TV show, "The Odd Couple". It isn't hard to imagine the friendly, outgoing "B" type Oscar being a top sales person. He makes friends and builds relationships wherever he goes and seems to do the work of 2 or 3 other people.
If the neat, precise "C" type Felix is his manager and is always demanding that every blank on every sales report is filled out, neatly, and on-time every time, it isn't surprising to see that this won't work out for long. Nothing is "wrong" with either person, they just need to have more insight into each other's personalities and find reasonable middle ground from which to work. However, if the manager is inflexible and demands perfection in everything they do, it isn't surprising to see a lot of turnover in the people that would work for him, especially if the ideal candidate for the sales job was a "B" personality.
Almost everyone has been in this position at one time or another. Even though two people may have opposite personalities, we also have a factor called "Adaptability" in our human nature, and when presented with a better understanding of what is needed, especially in understanding other people, many people can adapt and the results are often almost immediate. Ask yourself, "could this be a problem in my company?"