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Class 10 · Mathematics

Assertion: (A∪B)′=A′∩B′. Reason: To be outside A∪B, an element must be outside both A and B. Choose the correct option.

Class 10 · Mathematics

If only n(A−B)=24, n(B−C)=27 and n(C−A)=22 are given, can n(A∪B∪C) be determined uniquely?

Class 10 · Mathematics

If n(A∪B∪C)=184, n(A)=86, n(B)=91, n(C)=88 and n(A∩B∩C)=23, what is n(A∩B)+n(B∩C)+n(C∩A)?

Class 10 · Mathematics

If n(A−B)=0, n(B−C)=0 and n(A)>0, which relation must be true?

Class 10 · Mathematics

If A⊆B⊆C⊆U, then what is (A∪B∪C)′ equal to?

Class 10 · Mathematics

If A, B and C are mutually disjoint, n(A)=27, n(B)=34, n(C)=41 and n(U)=125, what is n((A∪B∪C)′)?

Class 10 · Mathematics

If n(A∩(B∪C))=52, only A∩B has 23 elements and only A∩C has 18 elements, what is n(A∩B∩C)?

Class 10 · Mathematics

If n(A)=82, n(B)=77, n(C)=69, n(A∪B∪C)=151, n(A∩B)=32, n(B∩C)=28, and n(C∩A)=25, what is n(A∩B∩C)?

Class 12 · Mathematics

If only A has 38 elements, only B has 35 elements, only C has 29 elements, exactly two sets together have 47 elements, and all three sets have 14 elements, what is n(A∪B∪C)?

Class 10 · Mathematics

If only A∩B has 19 elements, only B∩C has 17 elements, only C∩A has 21 elements, and A∩B∩C has 11 elements, how many elements are in at least two sets?

Class 10 · Mathematics

In an exam, among 180 students, 97 solved A, 88 solved B, 82 solved C, 41 solved A and B, 36 solved B and C, 34 solved C and A, and 18 solved all three. How many solved at least one question?

Class 10 · Mathematics

In a library, among 150 students, 83 read novels, 69 read poetry, and 28 read neither. How many read both?

Class 10 · Mathematics

If n(A ∩ B) = 0, n(A) = 39, and n(B) = 48, what is n(A △ B)?

Class 10 · Mathematics

If n(A ∪ B) = n(B), which relation is correct according to the Venn diagram?

Class 10 · Mathematics

If A ∩ B = ∅, then (A ∪ B) − A is equal to what?

Class 10 · Mathematics

If A ∩ B = A and B ∩ C = B, then what is A ∩ C equal to?

Class 10 · Mathematics

If A ⊆ B, how is the statement B' ⊆ A' according to the Venn diagram?

Class 10 · Mathematics

In a Venn diagram, A − (B ∪ C) is equal to what?

Class 10 · Mathematics

Which region does ((A ∪ B)' ∩ C) represent in a Venn diagram?

Class 10 · Mathematics

If n(A ∪ B) = 115 and n(A ∩ B) = 42, what is n(A − B) + n(B − A)?