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no divided by 357 reminder 5 then no divided by 17 what is the reminder ?

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TCS Other Question

January has 4 Thursday and 4 Sundays what is the day of January 1 Consider a chessboard with a single Rook. A Rook can move any number of square sideways/forward, but not diagonally.
What is the minimum number of moves the Rook needs to make, in order to pass over all the squares on the chessboard and return to the original position?