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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    State which of the following statements is true. For every integer \[n,(n+1)(n+2)\] is divisible by

    A)  7                            

    B)         6  

    C)  9                            

    D)         12

    Correct Answer: B

    Solution :

     Putting\[n=1\].                 \[n(n+1)(n+2)=1\times 2\times 3\]                                        \[=6\] Putting                      \[n=2\]              \[n(n+1)(n+2)=2\times 3\times 4\]                                        \[=24\] Hence, for every integer\[n\], the expression


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