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Cany Anybody explain all the remainder theorems plsssss

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TCS Other Question

All faces of a cube with an 8 meter edge
are painted red .if the cube is cut in to smaller cube with a 2 meter edge ,how many of 2 meter cubes have paint on exactly one face ?
In a sequence of integers A(n)=A(n-1)when A(n) is the nth term in the sequence n is an integer and n>=3,A(1)=1,A(2)=1calculate s(1000) where s(1000) is the sum of first 1000 terms ?