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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then\[n(X\cap Y)\]is equal to:

    A)  4                                            

    B)  6

    C)  8                            

    D)         10

    E)  12

    Correct Answer: E

    Solution :

    \[X\cap Y=\{1,\text{ }2,\text{ }4,\text{ }5,\text{ }8,\text{ }10,\text{ }20,\text{ }25,\text{ }40,\text{ }50,\,100,\,200\}\] \[\therefore \,\,\,\,\,\,\,\,\,\,n(X\cap Y)=12\]   


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