SOLUTION: What is largest 4 digit num which when divided by 149 leaves remainder 5?

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Question 470875: What is largest 4 digit num which when divided by 149 leaves remainder 5?
Answer by richard1234(7193) About Me  (Show Source):
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We want the largest four-digit number congruent to 5 modulo 149.

Note that 67*149 = 9983, and 68*149 > 10000. Hence, the largest four-digit number congruent to 5 mod 149 is 9983 + 5 = 9988.