Maybe this has been asked or answered before but im watching the tng episode where wesely takes the starfleet entrance exams and only one person gets it. Im thinking its per quadrant thing but it just seems so nuts that they take so few. Not to mention you would think two or three would be retakers. Was this ever explained?


Yeah. We already see in American universities that a lot of universities split up their student bodies, with collegiate honors programs on one end and pre-freshmen summer courses for first generation students from marginal high schools.
If we compare Wesley to Nog, I wouldn’t be surprised if Nog had to take remedial classes in Starfleet Academy, not because he is stupid but because his level of formal education was far below Wesley’s.
So starfleet has quota law?
Vulcans have the belief in Infinite Diversity in Infinite Combinations and the Federation as a whole is typically portrayed as finding strength in diversity.
Through DS9, we saw several officers in Starfleet who were either the first of their species or at least very rare. I wouldn’t be surprised if there was some weight given to diversity in the same way a lot of private colleges do.