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10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

  • question_answer
    The number \[{{3}^{13}}-{{3}^{10}}\]is divisible by:

    A) 2 and 3

    B) 3 and 10 

    C) 2, 3 and 10

    D) 2, 3 and 13

    Correct Answer: D

    Solution :

    Sol.      [d] 2, 3 and 13                    
    \[{{3}^{13}}-{{3}^{10}}={{3}^{10}}({{3}^{3}}-1)={{3}^{10}}(26)\]
    \[=2\times 13\times {{3}^{10}}\]                         
    Hence, \[{{3}^{13}}-{{3}^{10}}\] is divisible by 2, 3 and 13.


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