in a certain tournament certain rules are followed: any player is eliminated the

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Practice Problems on H.C.F and L.C.M – in a certain tournament certain rules are followed: any player is eliminated the moment he losses for the third time (irrespective of how many wins he has), any player can play another player any number of times. If 512 contestants enter the tournament what is the largest number of games that could be played?

From a point P, on the surface of radius 3 cm, two cockroaches A and B started m

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Practice Problems on H.C.F and L.C.M – From a point P, on the surface of radius 3 cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degree to each other. If A and B takes 18 sec and 6 sec respectively, to complete one revolution along their respective circular paths, then after how much time will they meet again, after they start from P?