jnu question

Posted by priyal on
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I) The house numbers of 3 individuals: A,B and C are,;1)distinct from each other, 2)lie between 1 and 99.
both facts are known to all 3 individuals. B asks A'when C is not present,2 questions: 1)is your house number a perfect square? 2)is your house number greater than 50? Assuming A's answers to be correct, B is able to infer house number of A from answers hiven by A.A's house number, however is not the same as infered by B because A answered only second question truthfully.C asks A when B is not present, 2 questions:1)is your house number a perfect cube?2) is your house number greater than 25? assuming A's answer to be correct, C is able to infer house number of A from answer to two questions given by A.A's house number, however is not same as infered by C because A answered only second question truthfully.deduce the house numbers of 3 individuals given that:1)A's house number is less than house number of both B and C. 2)sum of house numbers of 3 individuals is perfect square multiplied by two.


II) four persons A,B,c and D have to share rs.4 among themselves in units of one rupee.first A proposes a distribution and all of them, including A ,vote on it. if atleast 50%of those voting agree with A,the proposal is accepted. if not,A loses her voting rights and B gets to propose a distribution and all except A vote on it. once again,B's proposal is accepted if atleast 50% of those eligible to vote agree on it. if not,B also loses her voting rights and C gets to propose ansd so on D.
assume that each person prefers more mony to less, and will always vote against a distributionin which she gets zero.what distribution should A propose in the beginning?