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  3. JEE Main & Advanced

JEE Main & Advanced Sample Paper JEE Main - Mock Test - 16

  • question_answer
    If\[P(n):''{{49}^{n}}+{{16}^{n}}+k\]divisible by 64 for all  \[n\in N''\]is true, then the least negative integral value of k is

    A) -1                    

    B) -2   

    C) -3                    

    D) -4

    Correct Answer: A

    Solution :

    [a]: For n = 1, P(1) : 65 + k is divisible by 64. \[\therefore \]k, should be -1 since, 65 - 1 = 64 is divisible by 64.


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