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Question

Two players X and O play a game of “noughts and crosses” on a 3 × 3 grid. The purposeof the game is for a player to get 3 symbols belonging to the player in a straight line(vertically, horizontally or diagonally). Each player marks one symbol on his or her turn.After two moves (1 turn each), the grid looks as follows with X to play next. Where should X put his symbol next so that he will always win this game finally regardless of how well O plays?


A

Bottom row right corner

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B

Bottom row middle cell

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C

Middle row left most cell

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D

It is not possible to always ensure X wins if O plays carefully

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Solution

The correct option is A

Bottom row right corner


We can label the cells as follows.

ABOCDEXFG

If cross is put on the Cell G (bottom row right corner):

Case I - Circle is put in Cell F.

Then Cross puts it in Cell A. Now Circle will put either in Cell C or in Cell D. Then Cross puts it in the otherone and Cross wins.


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