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Class 10 · Mathematics
→If n(A)=44 and n(A∩B)=19, how many elements are only in set A in a Venn diagram?
Class 10 · Mathematics
→In a survey, n(U)=120, n(A)=61, n(B)=54, and n(A∩B)=25. How many elements are in neither set?
Class 10 · Mathematics
→If n(A)=52, n(B)=47, and n(A∪B)=79, what is n(A∩B)?
Class 10 · Mathematics
→In a Venn diagram, n(U)=90, n(A)=46, n(B)=38, and n(A∩B)=16. What is n(A∪B)?
Class 10 · Mathematics
→In a survey, n(U) = 95, n(A) = 48, n(B) = 39, and n((A ∪ B)ᶜ) = 20. According to the Venn diagram, what is n(A ∩ B)?
Class 10 · Mathematics
→In a Venn diagram, the shaded region represents A ∩ Bᶜ. Which set is equal to this region?
Class 10 · Mathematics
→If only A=11, only B=13, only C=9, only (A∩B)=5, only (B∩C)=4, only (C∩A)=6, and A∩B∩C=3, what is n(A∪B∪C)?
Class 10 · Mathematics
→If n(A)=25, n(B)=22, n(C)=19, n(A∩B)=7, n(B∩C)=6, n(C∩A)=5, n(A∩B∩C)=2, and n(U)=60, how many elements are in none of the sets?
Class 10 · Mathematics
→In a three-set Venn diagram, \(n(A\cap B)=12\), \(n(B\cap C)=13\), \(n(C\cap A)=10\), and \(n(A\cap B\cap C)=4\). How many elements lie in exactly two of the sets?
Class 10 · Mathematics
→If \(n(U)=55\), \(n(A-B)=14\), \(n(A\cap B)=9\), and \(n(B-A)=17\), what is the number of elements outside \(A\cup B\)?
Class 10 · Mathematics
→In a Venn diagram, \(n(A-B)=18\), \(n(A\cap B)=12\), \(n(B-A)=22\), and 8 elements are outside. What is \(n(U)\)?
Class 10 · Mathematics
→If \(n(A\cup B)=72\), \(n(A)=46\), and \(n(B-A)=26\), what is \(n(A\cap B)\)?
Class 10 · Mathematics
→Among 65 people, 31 like cricket, 29 like football, and 11 like both. How many like neither sport?
Class 10 · Mathematics
→In an exam, 36 students chose Hindi, 42 chose English, and 20 chose both subjects. How many students chose exactly one subject?
Class 10 · Mathematics
→If \(n(U)=75\) and \(n(A\cap B)=18\), what is \(n((A\cap B)^c)\)?
Class 10 · Mathematics
→If \(n(U)=120\), \(n(A)=65\), \(n(B)=58\), and \(n(A\cap B)=29\), what is \(n(A^c\cap B^c)\)?
Class 10 · Mathematics
→According to De Morgan's law, what is \((A\cap B)^c\) equal to?
Class 10 · Mathematics
→According to De Morgan's law, what is \((A\cup B)^c\) equal to?
Class 10 · Mathematics
→What region does \((A\cap B)^c\) represent in a Venn diagram?
Class 10 · Mathematics
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