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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)                 \[x\vee {x}'\,x={x}'\]     

    B)                 \[x\vee {x}'\,x=x\]

    C)                 \[x\vee {x}'\,x=1\]         

    D)                 None of these

    Correct Answer: B

    Solution :

                    \[x\vee {x}'\wedge x=(x\vee {x}')\wedge (x\vee x)=1\wedge (x\vee x)=1\wedge x=x\]


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