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AMO 2027 Grades 8-9 SET 16 - Self-study Question 7

AMO · AMO 2027 Grades 8-9 SET 16 - Self-study

Question 7

Question 24. George is trying to unlock the forgotten passcode for his luggage. The passcode consists of 3 digits, each of which is from 0 to 9.

He tried 923, only one digit is correct and correctly placed.

He tried 958, only one digit is correct but wrongly placed.

He tried 379, only two digits are both correct but wrongly placed.

He tried 142, none of the numbers is correct.

He tried 127, only one digit is correct but wrongly placed.

What is George’s passcode?

**Editorial input convention:** Every clue gives exact counts: any other digits in that guess are absent. “Wrongly placed” means present but not in that position. Repeated digits and leading zero are not excluded in advance. Enter exactly three digits without spaces.