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Question

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.
B = {2, 4}
A = {0}
C = {1, 9, 5, 13}
D = {5, 11, 1}
E = {13, 7, 9, 11, 5, 3, 1}
F = {2, 3, 4, 5}

A
A and B
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B
C, D and E
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C
A and D
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D
only A
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Solution

The correct option is A C, D and E
Given U={1,3,5,7,9,11,13},A={0},B={2,4},C={1,9,5,13},D={5,11,1},E={13,7,9,11,5,3,1},F={2,3,4,5}
Now we have to find the subsets of U
Consider A={0}
Since 0U,AU
Consider B={2,4}
Since 2,4U,BU
Consider C={1,9,5,13}
Since 1,9,5,13U,CU
Consider D={5,11,1}
Since 5,11,1U,DU
Consider E={13,7,9,11,5,3,1}
Since 13,7,9,11,5,3,1U,EU
Consider F={2,3,4,5}
Since 2,3,4U,FU
Therefore C,D,E are subsets of U.

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