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Question
Find the smallest four digit number which leaves a remainder of 4 and 6 when divided by 7 and 9 respectively?
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Answer
Hi Divakar,
The number can be written as 7k + 4 and 9m + 6.
The first 4 digit number of the form 7k + 4 is 1005, which on division by 9 yields 6 as remainder. Hence, the required number is 1005.
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