The least number which when divided by 6, 7, 8, 9 and 12 leaves the remainder 2 in each case is
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504 is the least number exactly divisible by 6,7,8,9 and 12. Hence, least number which when divided by 6,7,8,9 and 12 leaves remainder 2 in each case=504+2=506.
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Answer: your answer is 506
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