JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • question_answer
        If A = {a, b, c}, B = {b, c, d} and C = {a, d, c}, then \[(A-B)\times (B\cap C)\]is equal to

    A)  {(a, c), (a, d)}

    B)  {(a, b), fc d)}

    C)  {(c a), (d, a)}

    D)  {(a, c), (a, d). (b, d)}

    Correct Answer: A

    Solution :

                    Given that, A ={a, b, c}, B ={b, c, d} and C ={a, d, c} Now, \[A-B=\{a,\text{ }b,\text{ }c\}-\{b,\text{ }c,\text{ }d\}\] \[=\{a\}\] and  \[B\cap C=\{b,c,d\}\cap (a,d,c)\] \[=\{c,d\}\] \[\therefore \]  \[(A-B)\times (B\cap C)=\{a\}\times \{c,d\}\]                 \[=\{(a,c),(a,d)\}\]


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