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In the game of chess, the Knight can make any of the moves d

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In the game of chess, the Knight can make any of the moves d [#permalink] New post   25 Mar 2019, 08:05
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#GREpracticequestion In the game of chess, the Knight.jpg
#GREpracticequestion In the game of chess, the Knight.jpg [ 34.47 KiB | Viewed 6014 times ]


In the game of chess, the Knight can make any of the moves displayed in the diagram to the right. If a Knight is the only piece on the board, what is the greatest number of spaces from which not all 8 moves are possible?

(A) 8

(B) 24

(C) 38

(D) 48

(E) 56
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D
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In the game of chess, the Knight can make any of the moves d [#permalink] New post   19 Jun 2021, 08:24
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Now, for a Knight to be able to move 8 possible moves the Knight should have at least 2 squares in each direction to be able to complete that.
This means that the knight cannot be in any of the squares where we don't have at least 2 squares to move in each direction possible.
So, the Knight cannot be in rows 1,2,7,8 and columns a, b, g, h

Refer Below Image

Attachment:
squares.jpg
squares.jpg [ 35.21 KiB | Viewed 3452 times ]


This means that the Knight can be there only in the center blue squares, which are 4*4 = 16

So, the greatest number of spaces from which not all 8 moves are possible = 64 - 16 = 48

So, Answer will be D
Hope it helps!

If you want to play a "friendly" game of chess then invite me for game on chess.com, my profile link here! :)
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Re: In the game of chess, the Knight can make any of the moves d [#permalink] New post   18 Nov 2019, 13:44
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We can see from the figure above that the only spaces that allows the knight to move in 8 different positions, are those in the center of the chessboard.
More precisely, all the 16 spaces forming the 4x4 square in the center of the chessboard.
Being the chessboard formed by 8x8 = 64 spaces,
the number of spaces we are looking for to answer the problem is 64 - 16 = 48.
Hence answer is D.
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Re: In the game of chess, the Knight can make any of the moves d [#permalink] New post   14 May 2024, 21:03
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Re: In the game of chess, the Knight can make any of the moves d [#permalink]
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