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8th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    When simplified the product \[\left( 1-\frac{1}{2} \right)\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)\left( 1-\frac{1}{6} \right).....\left( 1-\frac{1}{n} \right)\]

    A)  \[\frac{1}{n}\]  

    B)  \[\frac{2}{n}\]             

    C)  \[\frac{2(n-1)}{n}\]                   

    D)  \[\frac{2}{n(n+1)}\]

    Correct Answer: A

    Solution :

    (a): \[\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times \frac{5}{6}\times ......\times \frac{n-1}{n}=\frac{1}{n}\]


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