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Question:
find the largest four digits no which when divided by 4,7,13leaves a reminder of 3 in each case
Answer:

LCM(4, 7,13) = 364

Largest 4 digit number = 9999

On dividng 9999 by 364 we get reaminder as 171

So, 9999 - 171 = 9828 + 3 = 9831

Therefore 9831 is the required  number.

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