Wednesday, July 18, 2007

Analytical Question #4

You have eight balls of the same size. 7 of them weigh the same, and one of them weighs slightly more. How can you find the ball that is heavier by using a balance and only two weighings?

Choose any 6 balls and weigh 3 against 3

  • if they weigh the same, you have another weighing for the remaining 2 balls and you can find the heavier one
  • if they don’t weigh the same, choose any 2 balls from the group of 3 which was heavier and weigh them
    ==> if they weigh the same, the remaining ball is the heavier one
    ==> if they don't weigh the same, you just found the heavier one

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