A treasure chest contains gold coins. If you divide them into piles of 2, there is 1 left over. Piles of 3 leave 1 left over, and piles of 5 also leave 1 left over. What is the smallest possible number of coins in the chest?
31
The number of coins minus 1 must be a common multiple of 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Adding 1 gives 31.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Hard. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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