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 10MathematicsSetsComplement of a Set and Its PropertiesMediumLevel 10

If U = {1, 2, ..., 24}, A = {x ∈ U | 4 divides x}, and B = {x ∈ U | 8 divides x}, what is B′ ∩ A?

Advertisement

Answer and explanation

Correct answer: {4, 12, 20}

Within U, the multiples of 4 are A = {4, 8, 12, 16, 20, 24}. The multiples of 8 form B = {8, 16, 24}, so B′ contains every element of U except those three. Therefore B′ ∩ A consists of the multiples of 4 that are not multiples of 8. These are 4, 12, and 20, giving option A.

Tags

setsmultiplescomplementintersectionComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{4, 12, 20}

Why is this the correct answer?

Within U, the multiples of 4 are A = {4, 8, 12, 16, 20, 24}. The multiples of 8 form B = {8, 16, 24}, so B′ contains every element of U except those three. Therefore B′ ∩ A consists of the multiples of 4 that are not multiples of 8. These are 4, 12, and 20, giving option A.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.

Report question
Advertisement