Which of the following is an equivalent set?

 Which of the following is an equivalent set?

  1. A

    A = { a,b.c,d },B = { d,c,b,a } 

  2. B

    A = { 4,8,12,16}, B = { 8,4,16,18 }

  3. C

    A = { χ : χ is multiple of 10 }

    B = { 10,15,20,25,30 }

  4. D

    None of these 

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    Solution:

     (a) Here, all the elements of the sets A and B are same which are a,b,c and d. Thus, A = B. So , A and B are equivalent set

    (b) Here, 12 is an element of A but not the element of B and 18 is an element of B but not  the element of A. Thus, all the elements of the sets A and B are not same. Hence, A B.

    (c) Here, A = { χ : χ is a multiple of 10} {10,20,30,40,} and B={10,15,20,25,30,..} 

    Clearly, AB as all the elements of the sets A and B are not same.

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