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

A

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

B

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

C

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

D

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

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 Mathematics

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