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
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 14

In a class of 95 students, 56 study Mathematics, 49 study Science, and 27 study both subjects. How many students study exactly one subject?

Advertisement

Answer and explanation

Correct answer: 51

Students studying only Mathematics = 56 − 27 = 29, and students studying only Science = 49 − 27 = 22. Therefore, the number studying exactly one subject is 29 + 22 = 51. Equivalently, n(M △ S) = n(M) + n(S) − 2n(M ∩ S) = 56 + 49 − 54 = 51. The value 78 is the union, not the exactly-one count.

Tags

setsoperations-on-setsvenn-diagramssymmetric-differenceinclusion-exclusionOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

51

Why is this the correct answer?

Students studying only Mathematics = 56 − 27 = 29, and students studying only Science = 49 − 27 = 22. Therefore, the number studying exactly one subject is 29 + 22 = 51. Equivalently, n(M △ S) = n(M) + n(S) − 2n(M ∩ S) = 56 + 49 − 54 = 51. The value 78 is the union, not the exactly-one count.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

Report question
Advertisement