For The Mathematically Inclined

Ten thousand sailors are arranged around the edge of their ship. Starting with the first one, every other sailor is pushed overboard until they are all gone. Where would you be standing to be the last survivor?

PROBLEM #2

A hiker is hiking up a 12 degrees slope. If he hikes at a contant rate of 3 mph, how much altitude does he gain in 5 hours of hiking?

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Problems from 04/25/13

PROBLEM #1

If a chicken and a half lays an egg and a half in a day and a half, how long does it take to get a dozen eggs?

SOLUTION 1
12 days.

PROBLEM #2

If x/(1+x/(1+x/(1+x/(1+x/(...)))))=0.5, what is x?

SOLUTION 2
0.75.

Congratulations to Kishore Balsara, Abhimanyu Bhargava, Suhas Joglekar, Saba Lateef and Suhas Pathak, who were the winners of the last set of puzzles.