Search questions
Use text search or combine filters to find exactly the questions you need.
Class 10 · Mathematics
→Let \(U=\{1,2,3,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cap B\cap C)\)?
Class 10 · Mathematics
→Let U = {1, 2, 3, ..., 50}, A be the set of prime numbers, and B be the set of even numbers. What is A ∩ B?
Class 10 · Mathematics
→Let \(U=\{1,2,3,\ldots,40\}\), \(A=\{x:x\text{ is divisible by }4\}\), and \(B=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cup B)\)?
Class 10 · Mathematics
→Let \(U=\{1,2,3,\ldots,30\}\), \(A=\{x:x\text{ is a multiple of }2\}\), and \(B=\{x:x\text{ is a multiple of }3\}\). What is \(n(A\cap B)\)?
Class 10 · Mathematics
→Let \(U\) be a universal set with \(n(U)=200\). If \(n(A\cup B)=128\), \(n(A\cap B)=36\), and \(n(A^c\cap B^c)=72\), which relation is true?
Class 10 · Mathematics
→By De Morgan’s law, what is (A∪B∪C)ᶜ equal to?
Class 10 · Mathematics
→By De Morgan’s law, what is \((A\cap B\cap C)^c\) equal to?
Class 10 · Mathematics
→In a Venn diagram, what is (A ∪ B) − (A ∩ B) equal to?
Class 12 · Mathematics
→If n(A) = 73, n(B) = 69, and n(A △ B) = 88, what is n(A ∩ B)?
Class 10 · Mathematics
→In a Venn diagram, n(A △ B) = 82 and n(A ∪ B) = 119. What is n(A ∩ B)?
Class 10 · Mathematics
→If only A=18, only A∩B=12, only A∩C=10, and A∩B∩C=6, what is n(A)?
Class 10 · Mathematics
→In three sets, only A=23, only B=27, only C=21, only A∩B=13, only B∩C=11, only C∩A=9, and A∩B∩C=7. What is n((A∪B∪C)ᶜ) if n(U)=130?
Class 10 · Mathematics
→If n(A∩B)=42, n(A∩C)=36, n(B∩C)=34, and n(A∩B∩C)=15, how many elements are in at least two sets?
Class 10 · Mathematics
→If n(A)=80, n(A∩B)=35, n(A∩C)=32, and n(A∩B∩C)=14, how many elements are only in A?
Class 10 · Mathematics
→In three sets, n(A∩B)=31, n(B∩C)=29, n(C∩A)=25, and n(A∩B∩C)=12. How many elements are in exactly two sets?
Class 10 · Mathematics
→If n(A)=70, n(B)=65, n(C)=60, n(A∪B∪C)=140, n(A∩B)=28, n(B∩C)=24, and n(C∩A)=22, what is n(A∩B∩C)?
Class 10 · Mathematics
→For three sets, n(A)=64, n(B)=58, n(C)=52, n(A∩B)=24, n(B∩C)=21, n(C∩A)=19, and n(A∩B∩C)=8. What is n(A∪B∪C)?
Class 10 · Mathematics
→If A ⊆ B ⊆ C, n(C) = 118, n(B) = 73, and n(A) = 29, what is n(C − A)?
Class 10 · Mathematics
→If A ⊆ B, n(A) = 38, n(B) = 91, and n(U) = 130, what is n(Bᶜ)?
Class 10 · Mathematics
→