If $A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B = {2, 4, 6, 8, . . ., 16, 18}$ and $N$ is the universal set, then $A^{'} \cup ((A \cup B) \cap B^{'})$ is

A

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N

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B

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none of these

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Solution

The correct option is B $N$
$A \cup B$
$= (1, 2, 3, 4, 5...17, 18)$
$B^{'} = (1, 3, 5, 7, 9...17, 19, 20, 21...)$
$(A \cup B) \cap B^{'} = (1, 3, 5, 7, 9..17) = A$
$A^{'} \cup A$
$= U n i v e r s a l S e t$
$= N$

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Similar questions

Q. If

A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B = {2, 4, . . . ., 18}

and N is the universal set, then

A^{'} \cup ((A \cup B) \cap B^{'})

If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then $(A^{'} \cup [(A \cup B) \cap B^{'}])$ is

Q. If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then

(A^{'} \cup [(A \cup B) \cap B^{'}])

Q. If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then

(A^{'} \cup [(A \cup B) \cap B^{'}])

Q. Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that

n (A) = 200, n (B) = 300 and (A \cap B) = 100

. Then

n (A' \cap B') =

(a) 400
(b) 600
(c) 300
(d) none of these.

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If A={1,3,5,7,9,11,13,15,17},B={2,4,6,8,...,16,18} and N is the universal set, then A′∪((A∪B)∩B′) is

The correct option is B NA∪B=(1,2,3,4,5...17,18)B′=(1,3,5,7,9...17,19,20,21...)(A∪B)∩B′=(1,3,5,7,9..17)=AA′∪A=UniversalSet=N

If $A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B = {2, 4, 6, 8, . . ., 16, 18}$ and $N$ is the universal set, then $A^{'} \cup ((A \cup B) \cap B^{'})$ is

The correct option is B $N$
$A \cup B$
$= (1, 2, 3, 4, 5...17, 18)$
$B^{'} = (1, 3, 5, 7, 9...17, 19, 20, 21...)$
$(A \cup B) \cap B^{'} = (1, 3, 5, 7, 9..17) = A$
$A^{'} \cup A$
$= U n i v e r s a l S e t$
$= N$