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KVPY Sample Paper KVPY Stream-SX Model Paper-20

  • question_answer
    The total number or irrational terms in the binomial expansion of \[{{\left( {{7}^{\text{1/5}}}-{{3}^{\text{1/10}}} \right)}^{60}}\] is:

    A) 55

    B) 49

    C) 48        

    D) 54

    Correct Answer: D

    Solution :

    General term, \[{{T}_{r+1}}{{=}^{60}}{{C}_{r}},7\frac{60-r}{5}\frac{r}{{{3}^{10}}}\]
    \[\therefore \] for rational term,
    \[r=0,10,20,30,40,50,60\]
    \[\Rightarrow \]Number of rational terms \[=7\]
    \[\therefore \]Numebr of irrational terms\[=54\]


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