If A and B are two sets and U is the universal set such that n U -700- n A -200- n B -300 and n A - B -100- then what is the value of A -B -A- 300B- 400C- 100D- 200

The correct option is A 300From the given data, n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100. We know that, n(A ∪ B) = n (A) + n(B) n (A ∩ B) = 200 ...

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Quantitative Aptitude

Two Sets Venn Diagram

If A and B ar...

Question

If A and B are two sets and U is the universal set such that n (U) = 700, n(A) = 200, n(B) = 300 and $n (A \cap B) = 100,$ then what is the value of $(A^{'} \cap B^{'})$ ?

100

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200

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300

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400

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Solution

The correct option is C 300
From the given data,
n(U) = 700, n(A) = 200, n(B) = 300 and $n (A \cap B) = 100.$
We know that,
$n (A \cup B) = n (A) + n (B) - n (A \cap B)$
= 200 + 300 - 100 = 400
Now, $n (A^{'} \cap B^{'}) = n (U) - n (A \cup B)$
= 700 - 400 = 300

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Similar questions

Q. If

A

and

B

are two sets and

U

is the universal set such that

n (U) = 700, n (A) = 200, n (B) = 300

and

n (A \cap B) = 100

, find

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

A

and

B

are the two subsets of Universal Set

U

such that

n (U) = 700, n (A) = 200, n (B) = 300

and

n (A \cap B) = 100

. Find

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

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 $n (A \cap B)$ = 100. Then , $n (A^{'} \cap B^{'}) =$

If $n (\cup) = 700$ , $n (A) = 200$ , $n (B) = 300$ , $n (A \cap B) = 100$ , then $n (A^{^{'}} \cap B^{^{'}})$

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 n

(A \cap B) = 100, n (A \cup B) =

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If A and B are two sets and U is the universal set such that n (U) = 700, n(A) = 200, n(B) = 300 and n(A∩B)=100, then what is the value of (A′∩B′) ?

The correct option is C 300From the given data, n(U) = 700, n(A) = 200, n(B) = 300 and n(A∩B)=100. We know that, n(A∪B)=n(A)+n(B)−n(A∩B) = 200 + 300 - 100 = 400 Now, n(A′∩B′)=n(U)−n(A∪B) = 700 - 400 = 300

If A and B are two sets and U is the universal set such that n (U) = 700, n(A) = 200, n(B) = 300 and $n (A \cap B) = 100,$ then what is the value of $(A^{'} \cap B^{'})$ ?

The correct option is C 300
From the given data,
n(U) = 700, n(A) = 200, n(B) = 300 and $n (A \cap B) = 100.$
We know that,
$n (A \cup B) = n (A) + n (B) - n (A \cap B)$
= 200 + 300 - 100 = 400
Now, $n (A^{'} \cap B^{'}) = n (U) - n (A \cup B)$
= 700 - 400 = 300