TCS Company

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

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TCS Other Question

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
The thankgiving banquet at No.2, Ritcher Street, had 49 guests which consisted of 6 statesmen, 26 relatives and
their families. At the end of a banquet 19 people shake hands with other , some of which were between the
statesmen alone, some between relatives alone and some between the statesmen and relatives. How many
handshakes will there be in total?
(a)342 (b) 171 (c) 180 (d) 162