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NTSE Sample Paper NTSE SAT Practice Test-6

  • question_answer
    If the expression  \[a{{x}^{3}}+3{{x}^{2}}-3\] and       \[2{{x}^{3}}-5x+a\] when divided by \[(x-4)\] the same remainder, then the value of a is

    A) 1        

    B)        0

    C) 2                     

    D)        ? 1

    Correct Answer: A

    Solution :

    [a] If f (x) and g(x) are the two given expressions, then the remainders are given by f(4) and g(4). \[\Rightarrow \,\,a{{.4}^{3}}+{{3.4}^{2}}-3={{2.4}^{3}}-5.4+a\] \[\Rightarrow a=1\]        


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