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 U = {a, b, c, d, e}, A = {a, c, e}, and B = {b, e}, what is (A ∪ B)'?If U = {1,2,3,4,5,6,7,8}, A = {1,3,5,7}, and B = {2,3,5,8}, what is A' ∩ B'?If U={1,2,...,30}, A is the set of multiples of 2, and B is the set of multiples of 5, what is n((A∪B)')?If n(A) = 20, n(B) = 15, and n(A ∪ B) = 28, what is n(A ∩ B)?In a Venn diagram, how is the region that lies only in \(B\), that is, in \(B\) but not in \(A\), denoted?If \(n(A)=18\) and \(n(A\cap B)=6\), how many elements are only in \(A\)?If \(n(B)=14\) and \(n(A\cap B)=5\), how many elements are only in \(B\)?If n(A) = 25, n(B) = 18 and n(A ∩ B) = 10, how many elements are only in A?If n(A) = 16, n(B) = 22, and n(A ∩ B) = 7, how many elements are only in B?In a class of 30 students, 18 play cricket, 12 play football, and 5 play both. How many students play at least one of the two games?In a survey of 35 people, 16 read Hindi, 14 read English, and 6 read both languages. How many people read only Hindi?If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?If A = {2, 4, 6} and B = {1, 2, 3, 4}, what is A − B?If n(A) = 10, n(B) = 8, n(C) = 6, n(A ∩ B) = 3, n(A ∩ C) = 2, n(B ∩ C) = 1, and n(A ∩ B ∩ C) = 0, what is n(A ∪ B ∪ C)?If A ⊆ B, n(A) = 5, and n(B) = 12, what is n(A ∪ B)?If A ⊆ B, n(A) = 4, and n(B) = 10, what is n(A ∩ B)?In a Venn diagram, what is B − A equal to?If n(A − B) = 9, n(A ∩ B) = 4, n(B − A) = 6, and the outside region has 5 elements, what is n(U)?If n(U) = 70, the outside region has 12 elements, only A has 18 elements, and only B has 20 elements, what is n(A ∩ B)?If n(A ∪ B) = 36, the A-only region has 14 elements, and the B-only region has 11 elements, what is n(A ∩ B)?