Can You Detect the Counterfeit Cash?


Welcome to the primary Gizmodo Monday Puzzle, a brand new sequence wherein I’ll pose thought-provoking challenges initially of each week to jumpstart your mind. I’m a lifelong puzzle lover, someday puzzle creator, and new Gizmodo puzzle author. Lots of the teasers posted right here might be troublesome—however they are going to be solvable by the persistent amongst you, with out the necessity for specialised data or higher-level math. Some might be classics from the puzzle world, and lots of might be lesser-known gems. They won’t be gimmicky, which means that what the puzzle appears to be asking actually is what it’s asking. And eventually, they are going to be influenced by you! If you realize a terrific puzzle that you just suppose ought to be lined right here, ship it my method: gizmodopuzzle@gmail.com.
To kick off the sequence, I’ve chosen an outdated favourite wherein you’ll attempt to keep away from being ripped off by making intelligent use of a scale. It hits the candy spot, difficulty-wise. The answer is not going to be instantly apparent to most individuals, and but when you chew on it for a short while, readability will come. Talk about your ideas overtly within the feedback part, however be warned that spoilers may lurk there. In case you’ve heard this puzzle earlier than, I ask that you just not put up the answer and as an alternative give a contemporary solver an opportunity to be first. Good luck!
Puzzle #1: 10 Baggage of Cash
You’ve got 10 luggage; every bag incorporates 10 cash. In 9 of the luggage, each coin weighs precisely 1 gram. Nevertheless, one of many luggage holds counterfeit cash, which weigh 1.1 grams apiece. You don’t know which bag incorporates the false cash, and the load distinction is simply too refined to really feel together with your palms. Fortunately, you may have a scale to assist. It shows a exact and correct numeric readout (for instance, when you positioned a raisin on the dimensions, it’d show: “.58 grams”). Not so fortunately, the dimensions’s battery is dying and after one use it should conk out. How will you establish the bag with the heavier cash utilizing solely a single weighing on the dimensions? You’re allowed to take cash out of their luggage, however you solely get to learn one quantity from the dimensions.
Like many nice puzzles, this sounds not possible at first. How can a single quantity present sufficient info to seek out 10 faux cash out of 100? Nevertheless, there’s a stunning and gimmick-free resolution that’s only a stroke of perception away.
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We’ll put up the answer subsequent Monday, together with a brand new puzzle!
Particular due to Robbie Gonzalez, who beforehand and deftly helmed a weekly puzzle at Gizmodo. I used to be a giant fan of that column and hope that this new incarnation is simply as enjoyable and stimulating.