1
$\begingroup$

Puzzle my sister told me about, I've yet to solve it and im open to ideas.

You have 6 balls, 2 red ones, 2 blue ones, and 2 green ones. Out of each pair, 1 is heavy and 1 is light (so overall you have 3 light balls and 3 heavy balls). All the light balls weigh the same. All the heavy balls weigh the same.

You also have a standard set of scales. Your goal is to find out which ball is heavy and which ball is light out of each pair, in just 2 measurements.

$\endgroup$
  • 1
    $\begingroup$ Hint: each measurement has three outcomes (left heavier, right heavier, left=right). You need to make use of all three, in both measurements, since there are $2^3=8$ possibilities to distinguish. $\endgroup$ – vadim123 Jan 31 '15 at 17:45
4
$\begingroup$

First weigh one red and one blue ball against the other red and a green ball. If the scales are in balance, weigh the red balls against each other. If one of the sides is heavier, weigh both red balls against the blue and green ones you used in the first weighing.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.