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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2009

  • question_answer
    If 'n' is a positive integer, then \[{{n}^{3}}+2n\]is divisible by

    A)  \[2\]                                    

    B)  \[6\]

    C)  \[15\]                                  

    D)  \[3\]

    Correct Answer: D

    Solution :

    Let \[P(n)={{n}^{3}}+2n\] \[\Rightarrow \]               \[P(1)=1+2=3\] \[\Rightarrow \]               \[P(2)=8+4=12\] \[\Rightarrow \]               \[P(3)=27+6=33\] Here, we see that all these numbers are divisible by 3.


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