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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    Let \[A=\{x\in W,\] the set of whole numbers and \[x<3\},\] \[B=\{x\in N,\] the set of natural number and \[2\le x<4\}\] and \[C=\{3,\,\,\,4\},\] then how many elements will \[(A\cup B)\times C\] contain?

    A) 6

    B) 8

    C) 10

    D)        12

    Correct Answer: B

    Solution :

    [b] We have \[A=\{0,1,2\}\] \[B=\{2,3\}\] \[C=\{3,4\}\] \[A\cup B=\{0,1,2,3\}\] \[(A\cup B)\times C=\{(0,3),(0,4),(1,3);(1,4);(2,3),(2,4),(3,3);(3,4)\}\]\[\therefore \,\,\,n\left[ (A\cup B)\times C \right]=8\]


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