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KVPY2017MathematicsBinomial Theorem

Consider the following statements. For any integer n , I. n²+3 is never divisible by 17 . II. n²+4 is never divisible by 17 . Then

Options

  1. Aboth I and II are true
  2. Bboth I and II are fal se
  3. CI is false and II is true
  4. DI is true and II is fal se

Correct answer

D. I is true and II is fal se

Step-by-step solution

n²+4 is divisible by 17 check at n=9 n²+3 17 = n²+4 17 - 1 17 not divisible by 17

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