Orkut Maths Puzzle

Q. A group of people is sitting around a round table. They give a coffee break. When they return to the table after the break, they sit down randomly. Interestingly, they notice that the six closest persons sitting next to each one of them (three to the left, and three to the right) are completely different from the six closest persons in the previous setting.

At least how many persons should be there?

Read Solution (Total 9)

Orkut Other Question

Q. You are playing a game with your friend. Your friend chooses three of the numbers among (1, 2, 3, 4, 5, 6, 7, 8, 9). You will call four numbers in each turn, and he will tell you how many of them are among the chosen numbers.

In order to guarantee to find these numbers in all cases, how many turns are needed?
Q. 6 guys can each carry a maximum of a 10 day ration-supply; they are on the edge of a desert; so they could all walk together straight out into the desert for 5 days, then return home. That's clear! But not much fun.

Well, in order to make this puzzle possible, they decide on a plan of action to send one of them as far as possible straight out into the desert, such that this "chosen one" can then return home, naturally!

Their plan uses 2 strategies:
1- hiding spots for supplies
2- guys giving supplies to other guys

And to make your life easier, the hiding and/or remitting of supplies is always at day's end, and in "packets" of one-day-rations.

Their plan is also such that in total, the least possible packets have been hidden. A packet weighs 7 pounds.

Finally, the guys walk at same speed: 23 miles per day.

How many miles was the "chosen" one able to go into the desert, and how many "pounds" were hidden?