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 SetsMediumLevel 8

If A = {x : x ∈ N, x is a factor of 16, and x is not even}, what is A?

Advertisement

Answer and explanation

Correct answer: {1}

The positive natural-number factors of 16 are 1, 2, 4, 8, and 16. The additional condition says that x must not be even, so all even factors are removed. Among these factors, only 1 is odd. Hence the set contains exactly one element: A = {1}. Therefore option A is the unambiguous correct answer.

Tags

setsset_builder_formfactorsodd_even_numbersThe 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?

{1}

Why is this the correct answer?

The positive natural-number factors of 16 are 1, 2, 4, 8, and 16. The additional condition says that x must not be even, so all even factors are removed. Among these factors, only 1 is odd. Hence the set contains exactly one element: A = {1}. Therefore option A is the unambiguous correct answer.

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