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JEE Main & Advanced Mathematics Mathematical Logic and Boolean Algebra Question Bank Boolean Algebra

  • question_answer
    Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then

    A)                 \[a\wedge (a\vee b)=b\]            

    B)                 \[a\wedge (a\vee b)=a\]

    C)                 \[a\wedge (a\vee b)=0\]            

    D)                 None of these

    Correct Answer: B

    Solution :

                       \[a\wedge (a\vee b)=a\wedge a\vee a\wedge b\].                 \[=a\wedge 1\vee a\wedge b=a\wedge (1\vee b)=a\wedge 1=a\].


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