he least 3-digit number which when divided by 3, 4, 5, 6 and 7 leaves remainder 1, 2, 3, 4 and 5 respectively is ‘N’. The sum of digits of ‘N’ is:
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181 is not divisible by 7. 241 is not divisible by 7. 301 is divisible by 7. Therefore 301 is the least number which leaves remainder as 1 when divided by 2, 3, 4, 5, 6 and leaves no remainder when divided by 7.
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