Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects

Mathematics

Operations on Sets (Union, Intersection, Difference)

समुच्चयों पर संक्रियाएँ (संघ, प्रतिच्छेद और अंतर)

In Class 11 Mathematics, the Sets chapter introduces Operations on Sets (Union, Intersection, Difference). Students learn to combine sets using union, identify common elements through intersection, and find elements belonging to one set but not another using difference. They also apply these operations to subset relations, Venn diagrams, and problems involving the number of elements in sets.

Practice questions

If \(A=B\), then in a Venn diagram, \(A-B\) will be equal to which of the following?If \(n(A)=12\), \(n(B)=14\), \(n(C)=10\), \(n(A\cap B)=5\), \(n(A\cap C)=3\), \(n(B\cap C)=4\), and \(n(A\cap B\cap C)=2\), what is \(n(A\cup B\cup C)\)?If n(A) = 24, n(B) = 20, and n(A ∩ B) = 6, what is the combined number of elements that are only in A and only in B?If n(A) = 45, n(B) = 38, and only A has 19 elements, that is, n(A − B) = 19, what is n(A ∩ B)?If n(A) = 39, n(B) = 50, and the number of elements only in B, that is, not in A, is 28, what is n(A ∩ B)?If n(A) = 42, n(A ∪ B) = 69, and n(A ∩ B) = 18, what is n(B)?If A = {1, 3, 5, 7, 9} and B = {5, 7, 11}, what is the region that belongs only to A, that is, A − B?If n(A) = 44 and n(A ∩ B) = 18, how many elements are only in A?If n(U) = 60, n(A) = 25, n(B) = 30, and 5 students are in neither set, what is n(A ∩ B)?n(A − B) = 16 and n(A ∩ B) = 11. What is n(A)?If \(A\subseteq B\), what is \(A\cup B\) equal to in a Venn diagram?Given \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\), and \(B=\{1,2,3,5,7\}\), what is \(A\cap B\)?Let \(U=\{a,b,c,d,e,f\}\), \(A=\{a,c,e\}\), and \(B=\{b,c,d\}\). What is \(A\cup B\)?If \(A=\{p,q,r,s\}\) and \(B=\{r,s,t\}\), what is \(B-A\)?If n(B)=57 and n(A∩B)=23, how many elements are in the only-B region?If A ⊆ B, n(A) = 28, and n(B) = 73, what is n(B − A)?If A ∩ B = ∅, n(A) = 33, and n(B) = 41, what is n(A ∪ B)?If n(A − B) = 29 and n(B − A) = 17, what is n(A △ B)?If A = {a, b, d, f, h} and B = {b, c, d, g, h}, what is A ∩ B?Let A = {2,4,6,8,10,12} and B = {6,8,12,14}. What is A − B?