The correct options are
B 5
C 8
We know that:
3n+10n is divisible by 13 for odd value of n.
Again:
82 when divided by 13 leaves remainder −1
Thus, if n=4m then the remainder =(−1)2m=1
So, if n=4m+1 then the remainder =1∗8=8
And, if n=4m+3 then the remainder =1∗83=>5
Thus, remainder could be 5 or 8 when n is odd.
Hence, (B) and (C) are correct.