PROBLEM #2

What is the smallest positive integer such that when its last digit is moved to the start of the number (example: 1234 becomes 4123) the resulting number is larger than and is an integral multiple of the original number.  Numbers are written in standard decimal notation, with no leading zeroes.

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Problems from 12/08/11

PROBLEM # 1
Given the following data points: k 8 8 2 6
If the median is 6, what is a highest possible value of k.

SOLUTION 1
6.

PROBLEM #2
If every couple stopped having kids when they have a boy, what will be the ratio of boys to girls in this world?
 
SOLUTION 2

1:1.

Congratulations to Kishore Balsara and Arun Saigal, who were winners of the last set of puzzles.