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Question

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

B = {2, 4, 6, 8, 10, 12, 14, 16}

C = {5, 10, 15, 20}

Match the following :
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

3. C - (A - B)

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

= {3, 9, 15, 18, 21}

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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