8
Part of 2020 LIMIT Category 1
Problems(2)
LIMIT 2020 P8
Source: LIMIT 2020
4/11/2020
Kunal and Arnab play a game as follows. Initially there are piles of coins with and coins respectively. The game starts with Kunal. In each turn a player chooses one pile and removes as many coins as he wants from that pile. The game goes on and the last one to remove a coin loses. Determine all possible values of which ensure Kunal's victory against Arnab given both os them play optimally.
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You are required to find an exhaustive set of solutions
Game Theory
Greatest integer not exceeding a fraction
Source: LIMIT 2020 Cat 1 Obj P8
5/2/2020
Find the greatest integer which doesn't exceed (A)
(B)
(C)
(D)
algebralimitnumber theory