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Tourist and distance Puzzle
A tourist wants to go from a to b. there are four ways to do this.
1. to take a wagon. the wagon stops for half an hour at a station in between a & b and then goes to b.
2. to walk to b. if he leavs a at the same time the wagon leaves, he will be between by the wagon by 1 mile to reach b.
3. to walk from a at the same time the wagon leaves from a. he will arrive at the mid station at the time when the wagon is prepared to leave. He can take the wagon from there. this will take shortest time.
4. to go on upto the mid station & to walk from there. he will reach at b 15 minutes before the
wagon. what is the distance between a & b ?.

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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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