JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Solution set of \[x\equiv 3\] (mod 7), \[p\in Z,\] is given by

    A) {3}

    B) \[\{7p-3:p\in Z\}\]

    C) \[\{7p+3:p\in Z\}\]

    D) None of these

    Correct Answer: C

    Solution :

    \[x\equiv 3\,(\bmod \,7)\] Þ \[x-3=7p,\,(p\in z)\] \[\Rightarrow \] \[x=7p+3,\,p\in z\] i.e., \[\{7p+3\,:\,p\in z)\].


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