Challenge #04  Training at the Academy
Your Answers 
(30/08) Radium McCoy : If the students are arranged in groups of 4 :
*If the student chose to fight 3 at round A , he won't be able to fight in round B ( Because there are no new opponents )
* also , if he chose to fight 2 he won't be able to fight in round B .
lets suppose that #1 chose to fight #2 and #3
#2 chose to fight #3 and #4
#3 chose to fight #4
#4 chose to fight #1
then there will be no round B because there are no new opponents
*if the student chose to fight 1 at round A , there will be 2 lift over in round B (look at the table below : Z and W can't choose in round B)
(Round A)—
W 
Z 
Y 
X 

* 

* 

X 

* 

* 
Y 
* 

* 

Z 

* 

* 
W 
(Round B)—
W 
Z 
Y 
X 

* 
* 
* 

X 
* 
* 

* 
Y 
* 

* 
* 
Z 

* 
* 
* 
W 
Shika : Nope, I never said that they be fighting in groups of 4. This is an over simplification of the problem. Next!

(26/08) Sakura Li : hmmmm a tuoghie but if the students are divided into squads of 4 then that would mean that the left over students have 03 because 4 would make a new group and 5+ would mean one group with left over students. So that would mean the total students in the beginning should be odd since if an odd number number is divided by an even number there would have to be a remainder. So i think the answer is 0,1,2,3
Shika : Any number divided by 4 is 0,1,2,3. If this is the answer, I could have asked "what is the remainder of the number that I am thinking of when divided by 4", and do away with that long story right :)

(25/08) Issa Sabah : "If all the students are now divided into squads of 4, what is the possible numbers of students that will be left over."
HAI HAI ^_^ what a cute IQ test!!! Hehe I tried reading the puzzle again and again for quite a few weeks..... and have seen a posibble answer right in my face...... As written in the quote above... you said that if "ALL" students are no divided into squads of four what is the posibble number of students that could be left over..... well If you take it literally it would be for sure that none would have been left.... as if ALL students are grouped then there isnt a posibblity of any students of number being more than "1" being left over as if there were then it would uhmm like contradict your question *didnt use that word in a long time ^_^* Hehe so my apparent answerr is NONE aka 0....... good luck I am really amazed.....
Shika : Hmmm I would be insulting your intelligence if I asked such a question :)

(24/08) Beau Gibbs : Couldn't you just take the number of students in one class, lets say 20, and divide them into 2 teams(AB) for exercise A.
Then for exercise B, take the two teams individually and divide them into teams of 5. Now those four teams of five, did not face their 5 teammates in the previous exercise. So team A and B are broken down into subgroubs C and D each, so Team A(c) fights Team A(d), while Team B(c) fights Team B(d).
Now each person has had an opponents at least once. So my answer is 0.
Shika : We do not know the exact details of how the student is to spare and no more info is to be assumed than the ones we gave. :P

(24/08) Jamal Russell : The answer to this problem is unknown simply because of the fact that we do not know the amount of students in Iruka's class. Because we don't know how many students Iruka has, this problem cannot be answered properly. Even if we did know, the answer would be relevant to the decisions made in Round A. So with this in mind, there can be no fixed answer to this question.
Shika : We ask for the range of possible values that the given info could possibly imply.

(22/08) Caro : My answer is that even if the students are divided into squads of 4 ,the rules in round A say that a squad may fight more than one squad at a time. So if a very special squad decides to fight againts every other squad in round A, then in Round B they will not be able to fight anybody else because the rules say that you can't fight the same opponents in round A. Therefore the very special squad will be left out.
Shika : The question is how many. ;)

(21/08) ShadowDragon295 : there isn't enough info, we need to know how many students or groups there are.
Shika : No you don't, that's why the long story.

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