### Brain Teasers

# Under 3000

There is a number less than 3000 that when divided by 2 leaves a remainder of 1, when divided by 3 leaves a remainder of 2, when divided by 4 leaves a remainder of 3, When divided by 5 leaves a remainder of 4, when divided by 6 leaves a remainder of 5, and so on up to nine. What is that number?

### Answer

2519Hide Answer Show Answer

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## Comments

too hard and long to think about it!

whats a remander? is it like a remainder?

The way to solve this is to notice that by adding one to the number, it will be divisible by 1 through 9. So take the LCM of 1,2,3...9 which is 2520 and subtract 1.

anything less than 3000 is kind of a BIG range. dontcha think?

My brain hurts!

Interesting puzzle and once again a lovely solution from Krishnan.

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