For The Mathematically Inclined

PROBLEM #2

What 5-digit number has the following features:

If we put the number 1 at the beginning, we get a number three times smaller than if we put the number 1 at the end of the number.

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Problems from 05/09/13

PROBLEM #1

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?

SOLUTION 1
3616.

PROBLEM #2

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

SOLUTION 2
3.12 miles.

Congratulations to Abhimanyu Bhargava and Saba Lateef, who were the winners of the last set of puzzles.