Book Maths Puzzle Category

What is remainder or (16937 ^30)31???

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Book Other Question

Eight friends A,B,C,D,E,F,G,H are sitting around a circular table numbered 1 to 8. A and F sit together. B and D never sit adjacent to each other. H and G sit opposite to each other. What is the total number of ways in which these people can be seated? What is remainder of (17937^30)/31 ?