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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    Let\[D=\{1,2,3,5,6,10,15,30\}\]. Define the operations +, .and on D as follows \[a+b=LCM(a,b),\]\[a.b=GCD(a,b)\]and \[a=\frac{30}{a}.\]Then\[(15+6).10\]is equal to:

    A)  1                            

    B)         2

    C)  3                            

    D)         5

    E)  10

    Correct Answer: B

    Solution :

    \[15=\frac{30}{15}=2\] \[\therefore \]  \[(15+6)=LCM(2,6)=6\] \[\therefore \]  \[(15+6).10=6.10=GCD\,(6,10)=2\]


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