I am a number between 1 and 100. If you divide me by 3, the remainder is 2. If you divide me by 4, the remainder is 3. If you divide me by 5, the remainder is 4. What number am I?
59
Notice that the remainder is always 1 less than the divisor (3-1=2, 4-1=3, 5-1=4). The least common multiple of 3, 4, and 5 is 60. Subtracting 1 gives 59.
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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