The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345, is
As the summation is divisible by 345 hence it should be a multiple of 345
and we are adding the least number in the greatest number of 4 digits that is 9999
hence it will be least number of 5 digits which will be divisible by 345 i.e. 10005 $$(345 \times 29)$$
so we have to add 10005 - 9999 = 6 number in greatest number of 4 digit
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