Question

1.There are 7 tumblers on a table, all standing upside down. You are allowed to turn any
2 tumblers simultaneously in one move. Is it possible to reach a situation when all the
tumblers are right side up? (Hint: The parity of the number of upside down tumblers is
invariant.)
2.A knockout tournament is a series of games. Two players compete in each game; the
loser is knocked out (i.e, does not play any more), the winner carries on. The winner
of the tournament is the player that is left after all other players have been knocked out.
Suppose there are
1234 players in a tournament. How many games are played before the
tournament winner is decided?
3.King Vikramaditya has two magic swords. With one, he can cut off 19 heads of a dragon,
but after that the dragon grows 13 heads. With the other sword, he can cut off 7 heads, but
22 new heads grow. If all heads are cut off, the dragon dies. If the dragon has originally
1000 heads can it ever die? (Hint:The number of heads mod 3 is invariant.)​

Answer 1

Answer:

5

Explanation:

10