Railways Quantitative Aptitude Power, Surds And Indices Sample Paper Surds Indices Sample Test Paper-4

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

    A)  \[n\]                

    B)  \[\frac{n-1}{2}\]

    C)  \[\frac{n+1}{2}\]         

    D)         \[\frac{n}{2}\]

    Correct Answer: C

    Solution :

    [c] \[\left( 1+\frac{1}{2} \right)\left( 1+\frac{1}{3} \right)\left( 1+\frac{1}{4} \right).....\left( 1+\frac{1}{n} \right)\] \[\frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}\times ....\times \frac{n+1}{n}\] \[=\frac{n+1}{2}\]


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