#4 solve for X came out of left field
https://abcnews.go.com/US/court-oks-barring-high-iqs-cops/st...
Think of a pilot. A pilot needs to be in command, exert control and assess situations in the fly. Yet a pilot also must be disposed to understand and follow complex rules and procedures precisely. The military does a lot of screening to identify that personality, and if you’ve known pilots, you can spot one.
I would presume to guess there are criteria for a police officer that an exam would try to identify, if allowed to do so.