Oh boy; that was some party
what day is it?
Hatch the same # of eggs? The same amount of time as the 20 hens.
The lady is totally correct; you can't shorten the process of egg-hatching by increasing the number of chickens.
It has to be rap, he has one of those scientifical jelly bean counter thingies...
Hey buddy, I didn't know you were a mathamagician!
I don't see any way of doing this aside from working through it. We know that the number is at most 6 away from other numbers. This immediately rules out 39, 49, and 50 which are 10 and 11 away from each other.
It also rules out 47 that is 8 away from 39. That leaves 45. 45 is 6 away from 39, 5 away from 50, 4 away from 49, and 2 away from 47. So there are 45 balls in the bowl and Rap guessed correctly.
You could have answered it by noticing that all of the guesses were odd but one (50), and that all of the degrees by which they were wrong were even but one (off by 5). To get an even number from an odd number, you have to subtract or add another odd number, and there's only one odd number available. So just look for an answer that was five less than 50, given that 50 was on the higher end of things.
A bug crawls at a speed of 21cm per hour towards a vegetable patch. After eating its fill it returns, over exactly the same distance, at only 7cm per hour.
Not including the eating time, what is the bug's average speed over the entire journey