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Manipal Engineering Manipal Engineering Solved Paper-2012

  • question_answer
    The least positive remainder when\[123\times 125\times 127\]is divided by\[124\]is

    A)  4                                            

    B)  120

    C)  121                       

    D)         130

    Correct Answer: C

    Solution :

    Since,    \[123=-1(\bmod \,\,124)\]                 \[125=1(\bmod \,\,124)\]                 \[127=3\text{(}\bmod \,\,124)\] \[\therefore \]\[123\times 125\times 127=(-1)(1)(3)\bmod (124)\]                 \[=-3\bmod (124)\]                 \[=-121\bmod (125)\]


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