Island of imperfection Puzzle

On the Island of imperfection there is a special road, Logic Lane, on which the houses are usually reserved for the more mathematical inhabitants. Add, Divide and Even live in three different houses on this road (which has houses numbered from 1-50). One of them is a member of the Pukka Tribe, who always tell the truth; Another is a member of the Wotta Tribe, who never tell the truth; and the third is a member of the Shalla Tribe, who make statements which are alternately true and false, or false and true. They make statements as follows:-
ADD : 1. The number of my house is greater than that of Divide's.
2. My number is divisible by 4.
3. Even's number differs by 13 from that of one of the others.
DIVIDE : 1. Add's number is divisible by 12.
2. My number is 37.
3. Even's number is even.
EVEN : 1. No one's number is divisible by 10.
2. My number is 30.
3. Add's number is divisible by 3.
Find to which tribe each of them belongs, and the number of each of their houses.

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sharad_vasisht
Profile Answers by sharad_vasisht Questions by sharad_vasisht

Dec 4th, 2005

ONe thing in this question i've noticed is the statement 1 and 2 made by Even. In stmt 1 says no one's no. is divisible by 10 in second statement he says my no. is 30. so EVEn definetly doesnt belong to that tribe which always speaks the truth.. he either belongs to false or alternate speaking tribe

Himanshu

Dec 5th, 2005

ans.
ADD-True and the H.No. is 40
DIVIDE-1st statement is false,2nd truth and 3rd false-H.No. is 37
EVEN-False and H.No. is 24

sharad_vasisht
Profile Answers by sharad_vasisht Questions by sharad_vasisht

Dec 5th, 2005

ADD - TRUE - 40....pukka tribe
DIVIDE - F,T,F - 37....shalla tribe
EVEN - FALSE - 27....wotta tribe
Even no. is 27 .it cannot be even no. as stmt 3 made by divide states that even no. is even.Bt stmt 3 of add is that even's no. differs by 13 so its 27