Chess With A Twist
Question 1.
Consider a chessboard of dimensions 4xN. What is the value
of N among the following such that, you can start with a knight(horse) at some
square of the board, proceed by valid moves, visit each square exactly once and
can return to the starting point as the 4N+1st square? [Note: If the knight is
at a position as shown figure, a valid knight move would be any square marked
‘X’]
(A) 2
(B) 4
(C) 8
(D) no such N exists
Question 2.
Consider a chessboard of dimensions 4xN. What is the value
of N among the following such that, you can start with a knight(horse) at some
square of the board, proceed by valid moves, and can visit each square exactly
once, with no requirement that we ever return to the starting square?
(A) 2
(B) 4
(C) 8
(D) no such N exists
Question 3.
Find out the minimum number of moves required to move from
the situation in the left to that in the right if the valid moves for bishop,
rook, knight, king and pawn are shown in the gures below respectively.
(A)
9
(B) 18
(C) 16
(D) 8
So, what are you waiting for!! Go ahead & comment your solutions.
Q3. (A) 9
ReplyDeleteCan you please post your solution.
DeleteQuestion 1 was a trick question.. Even if you managed to visit all the squares and come back to the original square, it will be your 4Nth square and not (4N+1)th square.
ReplyDeleteSorry but that was not we meant. The square you started with was first square. Accordingly, after traveling through all of the other squares, you must return to the initial square as your 4N+1st square
Deletesolution of ques 3
ReplyDeleteAnswer is (B)18
DeleteLet the squares be a1, a2, a3, b1, b2, b3
This is the sequence :
Kb3, a2, Bb2, Na3, Rb1, Ba1, Rb2, Nb1, Ka3, Rb3, Kb2, Na3, Kb1, Bb2, Ka1, Nb1, Ba3, Rb2
This was one of the easy questions :)
DeleteThe answer to question number 3 is (a).
DeleteAs this is a logical thinking exam we have to read the question carefully. It did not say that the moves are limited to the six squares. So we can use all the squares in the chess board. Therefore the answer is 9.
chep mat
ReplyDeleteLogically a chess board is a square. Since it is given that dimension of the chess board is 4×N so N must be equal to 4
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteAnswer of Q3 should be less than 18 . I don't remember my answer in 10 moves but I have found an answer in 14 moves.
ReplyDeleteLet the squares be a1 a2 a3 b1 b2 b3
Pb3 Bb2 Ka3 Ra2 Ba1 Rb2 Ka2 Pa3 Rb3 Bb2 Ka1 Pa2 Ba3 Rb2
Answer of Q3 should be less than 18 . I don't remember my answer in 10 moves but I have found an answer in 14 moves.
ReplyDeleteLet the squares be a1 a2 a3 b1 b2 b3
Pb3 Bb2 Ka3 Ra2 Ba1 Rb2 Ka2 Pa3 Rb3 Bb2 Ka1 Pa2 Ba3 Rb2
Firstly, the chess coins should not be moved outside the given part of chessboard.
DeleteThey haven't been moved out
DeleteLogically a chess board is a square. Since it is given that dimension of the chess board is 4×N so N must be equal to 4 .therefore ans of ques 1 and 2 must be B.
ReplyDeletethe answer to question.3. must be option B. 18
ReplyDeleteis the answer of 3 questn '8' ?? after a lot of possibilities 8 min moves are possible
ReplyDeleteyep its eight.
ReplyDeleteYaa 8 should be the ans and moreover there is nowhere written in the que that the chess coins cannot move out of the rectangle. So why should we consider the boundation of the rectangle if we want minimum number of moves and even the steps of each coin as given in the question clearly suggests that the rectangle should not be considered. Come on iitians plz think about it before declaring the results or else beauty of the question would go in vain.
ReplyDelete