Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-15

  • question_answer
     Find the unit's digit in the product \[{{(2467)}^{153}}\times {{(341)}^{72}}.\].

    A)  6                    

    B)  7        

    C)         8                    

    D)         9                                

    Correct Answer: B

    Solution :

    Clearly, unit's digit in the given product = unit's digit in \[{{7}^{153}}\times {{1}^{72}}\] Now, \[{{7}^{4}}\]gives unit digit 1. \[\therefore \] \[{{7}^{153}}\] gives unit digit \[=(7\times 1)=7.\]  Also \[{{1}^{72}}\]gives unit digit 1. Hence, unit's digit in the product \[=(7\times 1)=7\].


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