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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)                 \[x\wedge (x\vee y)=x\]             

    B)                 \[x\wedge (x\vee y)=y\]

    C)                 \[x\wedge (x\vee y)=1\]             

    D)                 None of these

    Correct Answer: A

    Solution :

                       \[x\wedge (x\vee y)=x\wedge x\vee x\wedge y=x\vee x\wedge y\]                                 \[=x\wedge 1\vee x\wedge y=x\wedge (1\vee y)=x\wedge 1=x.\]


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