Mymensingh secondary 2017 #5

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samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm
Mymensingh secondary 2017 #5

Unread post by samiul_samin » Sun Feb 17, 2019 3:32 pm

$10$ people are seating on chairs around a circular table. These chairs are marked $ 0,1,2,3,...,9$ in a clockwise manner.There is a ball on the man's hand who is seated on $0$ marked chair, and the ball will be passed from one man to another in clockwise manner. In first step, the ball goes to $1$ marked chair with $1^1$ turn. In second step, from there, the ball goes to $5$ marked chair with $2^2$ turns. In third step, the ball goes to $2$ marked chair by $3^3$ turns from $5$ marked chair. By this means, in which chair the ball will be in $2018^{th}$ step?

samiul_samin
Posts:1007
Joined:Sat Dec 09, 2017 1:32 pm

Re: Mymensingh secondary 2017 #5

Unread post by samiul_samin » Sun Feb 17, 2019 9:49 pm

Hint
Use modular arithmatic
Answer
$\fbox{5}$

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