TCS Company Logical Reasoning Decision Making and Problem Solving

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.

Read Solution (Total 2)

TCS Other Question

Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals ( after which the winner is decided by knockout). However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup?
(a) (2/3)^10 (b) (2/3)^9 + 8/3 * (2/3)^9
(c) 8/3 * (2/3)^9 (d) (2/3)^10 + 8/3*(2/3)^9
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