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Question

If A = {3, 6, 9, 12, 15, 18, 21}

 B = {2, 4, 6, 8, 10, 12, 14, 16}

 C = {5, 10, 15, 20}

 
AB           1.  BC                  A. {5,10,20}                                   2.  AC                  B.  {3,9,15,21}                             3.  C(AB)        C. {3,6,9,12,18,21}                     4.  C(AB)        D.  {15}                                            E.  {2,4,6,8,12,14,16}                                                                                                  

                                                                                 



A

1 - E, 2 -C, 3 - D, 4 - A

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B

1 - E, 2 -C, 3 - A, 4 - D

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C

1 - C, 2 -A, 3 -E, 4 - D

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D

1 - C, 2 -A, 3 -D, 4 - E

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Solution

The correct option is B

1 - E, 2 -C, 3 - A, 4 - D


1.B - C      = {2, 4, 6, 8, 10, 12, 14, 16} - {5, 10, 15, 20}

                = {2, 4, 6, 8, 12, 14, 16}=E

2.A - C      = {3, 6, 9, 12, 15, 18, 21} - {5, 10, 15, 20}

                = {3, 6, 9, 12, 18, 21}=C

A - B      = {3, 6, 9, 12, 15, 18, 21} - {2, 4, 6, 8, 10, 12, 14, 16}

                = {3, 9, 15, 21}

3.C - (A - B) = {5, 10, 15, 20} - {3, 9, 15, 21}

                     = {5, 10, 20}=A

4.C (A - B) = {5, 10, 15, 20} {3, 9, 15, 21}

                  = {15}=D


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