memory power increasing question (mathematics type)?

Question

If a number is dived by 2 remainder is 1
if a number is dived by 3 remainder is 2
If a number is dived by 4 remainder is 3
If a number is dived by 5 remainder is 4
If a number is dived by 6 remainder is 5
If a number is dived by 7 remainder is 6
If a number is dived by 8 remainder is 7
If a number is dived by 9 remainder is 8
If a number is dived by 10 remainder is 9
If a number is dived by 11 remainder is 0
What is that number?

Answer 1

This should be be a multiple of LCM(2,3,4,5,6,7,8,9,10) -1 or 2520n -1 which is divisible by 11

let us try with n =1 2519 which is divisible by 11, So this is the answer,

Answer 2

11

Answer 3

11

Answer 4

11

Answer 5

Absolutely 11 !

Answer 6

2519
it takes me long time. I reach to it by multiplying 11 with a number having last digit 9, i.e. 19,29,39 ......229

Answer 7

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Answer 8

11 is correct

Answer 9

yes it is 11.

Answer 10

The answer is 2519