8th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    The simplified value of \[\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)......\left( 1-\frac{1}{200} \right)\]is

    A)  \[\frac{2}{99}\]                     

    B)  \[\frac{1}{50}\]             

    C)  \[\frac{1}{100}\]

    D)  \[\frac{3}{200}\]

    Correct Answer: C

    Solution :

       (c): \[\frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times .........\times \frac{98}{99}\times \frac{99}{100}\times .....\frac{198}{199}\times \frac{199}{200}\] \[=\frac{2}{200}=\frac{1}{100}\]                     


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