Railways Sample Paper RRB (Group D) Sample Test Paper-14

  • question_answer
    The digit in the unit's place of the number represented by \[({{7}^{95}}-\,{{3}^{58}})\,\,is:\]

    A)  0        

    B)  4

    C)  6                    

    D)  7

    Correct Answer: B

    Solution :

    [b] \[Unit\text{ }digit\text{ }in\text{ }{{7}^{4}}\text{ }is\text{ }1.\text{ }So,\text{ }unit\text{ }digit\text{ }in\text{ }{{7}^{92}}\text{ }is\text{ }1.\] \[\therefore \,\,\,Unit\text{ }digit\text{ }in\text{ }{{7}^{95}}\text{ }is\text{ }3.\] \[Unit\text{ }digit\text{ }in\text{ }{{3}^{4}}\text{ }is\text{ }1.\] \[\therefore \,\,\,Unit\text{ }digit\text{ }in\text{ }{{3}^{56}}\text{ }is\text{ }1.\] \[\therefore \,\,\,Unit\text{ }digit\text{ }in\text{ }{{3}^{58}}\text{ }is\text{ }9.\] \[\therefore \,\,\,Unit\,\,\,digit\,\,\,in\left( {{7}^{95}}-\,{{3}^{58}} \right)=\left( 13-\,9 \right)=4.\]


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