CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2008

  • question_answer
    On the set Z of all integers * is defined by \[a*b=a+b-5,\] if  \[2*(x*3)=5,\]then x is equal to

    A)  \[0\]                                    

    B)  \[3\]

    C)  \[5\]                                    

    D)  \[10\]

    Correct Answer: D

    Solution :

    Given,   \[a*b=a+b-5\] Now, \[2*(x*3)=2*(x+3-5)\]                 \[=2*(x-2)\]                 \[=2+x-2-5\] \[\Rightarrow \]               \[5=x-5\] \[\Rightarrow \]               \[x=10\]


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