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Class 10 · Mathematics

If only (A\cap B) has (14), only (B\cap C) has (12), only (C\cap A) has (15), and (A\cap B\cap C) has (8) elements, then what is (n((A\cap B)\cup(B\cap C)\cup(C\cap A)))?

Class 10 · Mathematics

If n(A ∩ B) = 26 and n(A ∩ B ∩ C) = 10, how many elements are only in A ∩ B?

Class 10 · Mathematics

In an exam, 82 students solved question A, 76 solved B, 69 solved C, 37 solved both A and B, 32 solved both B and C, 29 solved both C and A, and 15 solved all three. How many solved at least one question?

Class 10 · Mathematics

In a survey of 120 people, 66 read a newspaper, 58 read a magazine, and 24 read neither. How many read both?

Class 10 · Mathematics

If n(A ∩ B) = 0, n(A) = 28, and n(B) = 34, what is n(A △ B)?

Class 10 · Mathematics

If (n(A\cup B)=n(A)), which conclusion is correct according to the Venn diagram?

Class 10 · Mathematics

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

Class 10 · Mathematics

If (A\cap B=A) and (A\neq \varnothing), which relation is correct?

Class 10 · Mathematics

If A ⊆ B, then what is (A ∪ B) − A equal to?

Class 10 · Mathematics

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

Class 10 · Mathematics

If n(A ∪ B) = 98 and n(A ∩ B) = 35, what is the value of n(A − B) + n(B − A)?

Class 10 · Mathematics

If n(A) = 55, n(B) = 62, and n(A − B) = 23, what is n(A ∪ B)?

Class 10 · Mathematics

If n(A) = 42, n(B) = 38, and n(A ∩ B) = 17, what is n(A' ∩ B)?

Class 10 · Mathematics

If n(U) = 150, n(A) = 91, and n(B) = 86, what is the minimum possible value of n(A ∪ B)?

Class 10 · Mathematics

If n(A) = 73 and n(B) = 58, what is the maximum possible value of n(A ∩ B)?

Class 10 · Mathematics

If n(U) = 75, n(A) = 46, and n(B) = 41, what is the minimum possible value of n(A ∩ B)?

Class 10 · Mathematics

If A = {x ∈ N : x ≤ 20}, B = {x : x is odd and x ≤ 20}, and C = {x : x is a multiple of 5 and x ≤ 20}, what is n(B ∩ C)?

Class 10 · Mathematics

If U = {1, 2, ..., 36}, A is the set of square numbers and B is the set of multiples of 3, what is n(A ∩ B)?

Class 10 · Mathematics

If U = {1, 2, ..., 40}, A is the set of prime numbers and B is the set of even numbers, what is A ∩ B?

Class 10 · Mathematics

If U = {1, 2, ..., 84}, A is the set of multiples of 7 and B is the set of multiples of 4, what is n((A ∪ B)')?