Weighing

Puzzles

• balanceYou are given 12 identical-looking coins, one of which is counterfeit and weighs slightly more or less (you...
• boxYou have ten boxes; each contains nine balls.
• easter.eggsYou are presented with six chocolate Easter eggs of which you are to choose three. New
• find.medianWhat is the least number of pairwise comparisons needed to find the median of 2n+1 distinct real numbers?
• five.sacksYou have 5 sacks of gold and a normal scale. New, unsolved
• good.coinYou have 11 coins, fewer than half of them bogus, and a balance scale; can you find for sure a good coin in... New
• gummy.bearsReal gummy drop bears have a mass of 10 grams, while imitation gummy drop bears have a mass of 9 grams.
• optimal.weightsWhat is the smallest set of weights that allow you to weigh on a balance scale every integer number of...
• postage.scaleWith a postage scale that compares a load against a whole number of ounces, how many weighings find which... New
• rank.fiveHow many weighings with a beam balance are required to rank five different weights from lightest to heaviest? New
• scale.five.sacksYou have 5 sacks of gold and a normal scale (one that gives a total weight, like a bathroom scale, not a pan balance). New
• six.cubesYou are given 6 cubes (A, B, C, D, E and F). New
• ten.coins.two.weightsYou have 10 coins; maybe they all weigh the same, maybe they don't. New
• uneven.armsYou have a balance scale, with one arm twice the length of the other. New
• weighingsSome of the supervisors of Scandalvania's n mints are producing bogus coins.