I am an even positive integer less than 100. Divided by 3, my remainder is 2. Divided by 5, my remainder is 4. Divided by 7, my remainder is 0. What number am I?
14
Leaving a remainder of 2 mod 3 and 4 mod 5 means the number is 1 less than a multiple of 15 (such as 14, 29, 44...). Among multiples of 7 less than 100, 14 is even, divisible by 7, and leaves the required remainders.
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: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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