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Puzzle 1: All inscriptions are true. The golden box tells us that the ring is not in the lead box. The lead box tells us the ring is not in the golden box. This means the ring must be in the silver box.

Puzzle 2: All inscriptions are false. The red box tells us that the ring is int he red box so the ring cannot be in the red box. The yellow box tells us that the ring is in the blue box so the ring cannot be in the blue box. This means the ring must be in the yellow box.

Puzzle 3. Two inscriptions are true. This means that only one clue is false. If the inscription on the orange box is the false clue then the ring would be in the orange box. However, if the orange box is false, the green box would have to be true, but this would be possible since the inscription on the green box reads, “The ring isn’t in the orange box.” This means that the inscription on the orange box is true and it reads “The ring is either in the purple or green box.” This means the inscription on the green box must be true. Since both the orange box and green box have true inscriptions, the purple box must have a false inscription. The inscription reads, “The ring isn’t in this box”. This means that the ring must be in the purple box.

Puzzle 4: Two inscriptions are false. Though phrased differently, the inscriptions on the wood box and the brick box give us the same information. They both tell us that the ring isn’t in the wood box. It’s not possible for both of them to be true since we know two inscriptions are false. This means both inscriptions are false, which means the ring has to be in the wood box.

Puzzle 5: At least two inscriptions are true. Since the inscription on the black box tells us that either the gray box or the white box has a false inscription, it is not possible for all three inscriptions to be true. This means that two inscriptions are true and one is false. The inscriptions on the gray and white boxes, though phrased differently, give us the same information. They both tell us that the ring is in the white box. Because these inscriptions are the same they cannot both be false (two must be true). This means they are both true, making the black box’s inscription false. This means the ring is in the white box.

Puzzle 6: At least two inscriptions are false. The inscription on the plaid box directly contradicts the inscription on the solid box. This means they cannot both be true, and cannot both be false. This means one is true and one is false. No matter which one is true and which one is false the inscription on the argyle box must be false in order to fulfill that at least two inscriptions are false. the inscription on the argyle box reads “The ring is not in this box”. That means the ring is in the argyle box.

Puzzle 7: At least one inscription is true and at least on inscription is false. The inscription on the glass box and the inscription on the plastic box are the same. They both tell us that the ring is not in the plastic box. If both are false, the inscription on the metal box would have to be true. The inscription on the metal box reads “The ring is in this box” This does not work because of the inscriptions on the glass and plastic boxes are false then the ring would have be in the plastic box. The ring cannot be both in the plastic and metal box. This means that the inscriptions on the glass and plastic boxes are true and the inscription on the metal box is false. This means the ring is not in the plastic box or the metal box which means it must be in the glass box.

Puzzle 8:W e don’t know how many inscriptions are true or false. The inscription on the small box reads “Only one inscription is true”. If this inscription is true then the inscription itself is the only true inscription and the inscriptions on the big and medium boxes, must be false. IF the inscriptions on the both the big and medium boxes are false, the ring would have to be in two places. This means that the inscription on the small box is false. To make sure the inscription on the small box is false, both inscriptions on the bog and medium boxes must be true. (If only one were true, it would make the inscription on the small box true but we know it has to be false). Since the inscriptions on the big and medium boxes tell us that the ring cannot be in the big or medium box, the ring must be in the small box.

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