Question

What is the smallest four digit number which when divided by 6 leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

Answer 1

Smallest 4 digit number which is divisible by 6 is 1002. Adding 5 to it gives 1007. Hence the series should be 1007,1013,1019 etc. Hence the smallest four digit number which when divided by 6 leaves reminder 5 and when divided by 5 leaves reminder 3 is 1013.

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