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Middle-earth is a fictional land inhabited by hobbits, Elves, dwarves and men. The Hobbits and the Elves are
peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage
in physical games. The game is as follows. A tournoi is one, where out of two teams that play a match, the one
that loses get eliminated. The matches are played in different rounds where in every round; half of the teams get
eliminated from the tournament. If there are 10 rounds played in a knock-out tournoi how many matches were
played?
(a)1024 (b) 1023 (c)1026 (d)1011

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TCS Other Question

A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.
b) The odd numbered statements are true and the even numbered are false.
c) The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.
5 men and 5 women meet and men dance with women. Which of the following are always true? A. there are 2
men who have danced with same number of women. B. There are 2 women who have danced with same number
of men.
(a) Both A and B (b) A only
(c) B only (d) Neither A nor B