I just read that R.J. Hunter and Christian Wood got some pretty funny questions during their interviews with Dallas and Minnesota;
Christian Wood
Wolves are popping "How many pennies in $1M" question into interviews again. UNLV's Wood: "I know it's 100 million, but it took me awhile"
R.J. Hunter
Georgia State guard R.J. Hunter said that one of the oddest questions he got this week came during his meeting with the Mavericks. “Dallas,” he said, “asked me how many basketballs would fit in this room.” Basketballs? “Yeah, I said, ‘How much time do I have?’ ” Hunter recalled. “They said, ‘Take your time.’ So I sat there for 10 minutes and just kind of tried to figure it out.”
Wood's question is pretty easy, but the one Hunter got is just plain ridiculous 
Do you guys know why they are getting these types of questions? Are the teams trying to test the players intellect?
Yes, and that penny one has been asked before. Did, I think, Aaron Gordon report it last year? That it takes more than half a second for these guys to answer it--Gordon also, IIRC, said it took him some time to figure it out--is kind of scary. Either makes BBIQ an oxymoron or a rare commodity understandably sought with great effort.
As to the balls in the room question, that's a little tougher, but not really too hard--for supposed college students (har har). A pretty basic answer would be that the guy's room is just over 8'x 8', with just over 8' ceilings, and you've got close to a 100" x 100" x 100" cube. With a basketball about 10 inches in diameter, you could stack about 10 layers of 100 basketballs per layer in the room. 1000 basketballs.
Probably a rip off of the trend for a while of Google and hedge funds to ask similar, but much, much, much harder, questions. Google kind of famously came out saying they found that to be an ineffective way to screen for employees.