Q:
How many remainders are possible if is divided by 9 for any positive integral value of n ?
Answer & Explanation
Answer: C) 3
Explanation: When is divided by 9, we have
, remainder = 7
, remainder = 4
, remainder = 1
, remainder = 7
, remainder = 4
, remainder = 1
So, we have cyclicity of 3 factors i.e 7,4,1.
Hence only 3 remainders are possible.
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