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 6

What is the type of the set {x ∈ N : 14 < x < 16 and x is prime}?

Advertisement

Answer and explanation

Correct answer: Empty set

The only natural number strictly between 14 and 16 is 15. However, 15 is not prime because it has factors other than 1 and itself; specifically, 15 = 3 × 5. Therefore no natural number satisfies both conditions, so the set has no elements. It is the empty set, and option A is correct.

Tags

setsempty setprime numberslogical conditionsThe 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?

Empty set

Why is this the correct answer?

The only natural number strictly between 14 and 16 is 15. However, 15 is not prime because it has factors other than 1 and itself; specifically, 15 = 3 × 5. Therefore no natural number satisfies both conditions, so the set has no elements. It is the empty set, and option A is correct.

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