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 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

If A = {x : x ∈ ℕ, x is a factor of 15} and B = {1, 3, 5, 15, 15}, which statement is correct?

Advertisement

Answer and explanation

Correct answer: A = B

The positive natural-number factors of 15 are 1, 3, 5, and 15, so A = {1, 3, 5, 15}. In set notation, repeated listing of an element does not create a new element; therefore B = {1, 3, 5, 15, 15} is the same as {1, 3, 5, 15}. Since both sets contain exactly the same elements, A = B.

Tags

setsequal-setsfactorsThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = B

Why is this the correct answer?

The positive natural-number factors of 15 are 1, 3, 5, and 15, so A = {1, 3, 5, 15}. In set notation, repeated listing of an element does not create a new element; therefore B = {1, 3, 5, 15, 15} is the same as {1, 3, 5, 15}. Since both sets contain exactly the same elements, A = B.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

Report question
Advertisement