Divide me with 11
A number has 2013 digits in decimal representation, and leaves a remainder 5 when divided by 11.
What is the remainder when the number formed by reversing it's digits is divided by 11 ?
Details and Assumptions :
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Number formed by reversing digits of 12345 is 54321.
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0123 is a 3-digit number, not 4 digit.
This is a part of the set 11≡ awesome (mod remainders)
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1 solution
Since the number has odd digits, the digits at the odd places remain at odd places and those at even remain at even places when reversed. Hence the divisibility by 11 remains unchanged.