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Class 10 · Mathematics
→If n(A) = 64, n(B) = 53, and n(A ∩ B) = 22, what is n(A' ∩ B)?
Class 10 · Mathematics
→If n(U) = 180, n(A) = 109, and n(B) = 97, what is the minimum possible value of n(A ∪ B)?
Class 10 · Mathematics
→If n(A) = 82 and n(B) = 63, what is the maximum possible value of n(A ∩ B)?
Class 10 · Mathematics
→If n(U) = 90, n(A) = 58, and n(B) = 49, what is the minimum possible value of n(A ∩ B)?
Class 10 · Mathematics
→If U = {1, 2, 3, ..., 64}, A is the set of square numbers in U, and B is the set of even numbers in U, then what is n(A ∩ B)?
Class 10 · Mathematics
→If U = {1, 2, ..., 50}, A is the set of prime numbers and B is the set of multiples of 5, what is A ∩ B?
Class 10 · Mathematics
→If U = {1, 2, ..., 120}, A is the set of multiples of 8 and B is the set of multiples of 12, choose the correct value of n((A ∪ B)').
Class 10 · Mathematics
→If U = {1, 2, ..., 120}, A is the set of multiples of 8 and B is the set of multiples of 12, what is n((A ∪ B)')?
Class 10 · Mathematics
→If U = {1, 2, ..., 105}, A is the set of multiples of 7 and B is the set of multiples of 15, what is n(A ∩ B)?
Class 10 · Mathematics
→Let U = {1, 2, ..., 96}. If A is the set of multiples of 6 in U and B is the set of multiples of 10 in U, what is n(A ∪ B)?
Class 10 · Mathematics
→If U = {1, 2, ..., 96}, A is the set of multiples of 6 and B is the set of multiples of 10, then what is n(A ∪ B)?
Class 10 · Mathematics
→If n(A − B) = 4x + 1, n(B − A) = 3x + 6, n(A ∩ B) = 2x + 5 and n(A ∪ B) = 120, then what is x?
Class 10 · Mathematics
→If n(A) = 6x + 5, n(B) = 5x + 9, n(A ∩ B) = 3x + 4 and n(A ∪ B) = 106, then what is the value of x?
Class 10 · Mathematics
→For three activities, n(A) = 84, n(B) = 77, n(C) = 73, n(A ∩ B) = 33, n(B ∩ C) = 28, n(C ∩ A) = 31 and n(A ∩ B ∩ C) = 13. How many students are only in A ∩ C, that is, in A and C but not in B?
Class 10 · Mathematics
→If A ∩ B = ∅, n(A) = 57, n(B) = 46, and n(U) = 125, what is n((A ∪ B)′)?
Class 10 · Mathematics
→If A ⊆ B, n(A) = 52, n(B) = 91 and n(U) = 140, then what is n((B − A) ∪ B')?
Class 10 · Mathematics
→If n(A) = 72, n(B) = 67, and n(A ∪ B) = 101, what is n(A △ B), the number of elements in the symmetric difference of A and B?
Class 10 · Mathematics
→In a class of 110 students, 68 study Biology, 57 study Chemistry, and 32 study both subjects. How many students study neither Biology nor Chemistry?
Class 10 · Mathematics
→If n(A ∩ B') = 36, n(A' ∩ B) = 44, n(A ∩ B) = 25 and n((A ∪ B)') = 18, then what is n(U)?
Class 10 · Mathematics
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