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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. 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

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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, 18, 21} 3. C - (A - B) = {5, 10, 15, 20} - {3, 9, 15, 18, 21} = {5, 10, 20} = A 4. C ∩ (A - B) = {5, 10, 15, 20} ∩ {3, 9, 15, 18, 21} = {15} = D

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