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UPSC CDS II 2025 Mathematics Paper

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Question : 1 of 100

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Let p(x) be a polynomial. When p(x) is divided by (x - 1), it leaves 2 as the remainder. When p(x) is divided by (x - 2), it leaves 1 as the remainder. What is the remainder when p(x) is divided by (x - 1)(x - 2)?

3
-3
3 - x
3 - 2x

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