Thursday 25 July 2013

The One Where We "Follow The Arrow"


                A Kindergarten teacher has introduced a new game for her students, during their school picnic. She divided students into 6 teams: 1st two teams (G and H) had 1 student each, next 2 teams(I and J) had 3 students each, and the last two teams(P and  N) had 5 students each. The equisized teams were to face each other in the interesting game. For the same, she arranged the opponent teams in rows, facing each other as shown:
   
Team G v/s Team H

Team I  v/s Team J

Team P v/s Team N
                                               
                                      
Opponent teams are to exchange heir positions, but with certain twists:
a student can move only in the direction of his arrow to an empty block only if:
●    The empty block is exactly in front of him, or
●    There is exactly one student of opposition and none of his own team between him and the empty
      block.

            Finally all the kids completed the game, and were rewarded by the teacher. Shockingly there was a striking similarity between all the game plays : One team in each gameplay had to take 1 step more than its opponent team. With this fact in mind, we can  derive some more similarities the game had  in each case.

(They played…you solve :P) 
(Hint: Try to visualize for small sized teams, and then build your logic.)


Question 1:
 The total number of steps taken by students A, E and V can be?
 1) 7, 9        2) 8, 9        3) 9, 11          4)10, 11
  

Question 2:
How many total steps were taken by all the little kids(in 3rd match) of teams P and N to complete the game? 
1) 30        2) 33        3)35        4)38


Question 3:
 If E being the bold started first, then the total number of steps taken by A, B, C and D is-
 1) 12        2) 15        3) 13        4) 14


Guidelines: Give complete strategies used to get the answer that would help our team and your fellow contestants to know the way you thought.


--
Regards
Team Techno'13


4 comments:

  1. the question too lengthy to explain on typing , it takes a lot of time (20-30) mins to solve it at first , maybe we could explain it on paper and scan the answer and post it ?

    ReplyDelete
    Replies
    1. Yes you can go ahead. That would be great. In this era of digitization that shouldn't be a problem, we suppose!

      Delete
    2. sir/madam,
      I'm able to solve the puzzle Ieven got the answers of the 2nd and 3rd questions but,I'm not able to get the answer of the 1st one. Any hint..... please help

      Delete
  2. 4
    3
    4 is the answer.too big ........ To explain.

    ReplyDelete