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 PropertiesEasyLevel 20

Let U = {1, 2, …, 30}, A = {x ∈ U : x is even}, and B = {x ∈ U : x is prime}. What is A′ ∩ B?

Advertisement

Answer and explanation

Correct answer: {3, 5, 7, 11, 13, 17, 19, 23, 29}

The complement A′ consists of all odd numbers in U. The primes from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Since 2 is even, it is not in A′. Every other prime in this list is odd, so the intersection is {3, 5, 7, 11, 13, 17, 19, 23, 29}.

Tags

setscomplementintersectionprime-numbersComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{3, 5, 7, 11, 13, 17, 19, 23, 29}

Why is this the correct answer?

The complement A′ consists of all odd numbers in U. The primes from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Since 2 is even, it is not in A′. Every other prime in this list is odd, so the intersection is {3, 5, 7, 11, 13, 17, 19, 23, 29}.

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