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UPSC 2016 CDS I Math Paper

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Question : 11

Total: 100

Let m be a non-zero integer and n be a positive integer. Let R be the remainder obtained on dividing the polynomial xn+mn by (x−m.) Then

R is a non-zero even integer
R is odd, if m is odd
R=s2 for some integer s, if n is even
R=t3 for some integer f, if 3 divides n

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