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 • 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 • 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
Topic Wise MCQ

Mathematics Power Set and Universal Set MCQ Questions for Class 11 General

Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.

Back to Chapter Subject Page
Share

Start Power Set and Universal Set Topic Quiz

Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.

Easy Test 150 Questions Medium Test 150 Questions Hard Test 148 Questions Expert Test 140 Questions
Topic Navigation

Continue Chapter Revision

Previous Topic Next Topic Leaderboard
Chapter Revision

Related Topics

Same chapter ke nearby topics ko revise jarur karein. Exam preparation ke liye yeh topics important hain. jisme niche ke ye 7 Topics hain.

7 topics
01 Practice Topic Sets and their representations 614 MCQs 02 Practice Topic The Empty Set, Finite and Infinite Sets, Equal Sets 599 MCQs 03 Practice Topic Equal sets and Subsets 491 MCQs 04 Practice Topic Venn Diagrams 599 MCQs 05 Practice Topic Operations on Sets (Union, Intersection, Difference) 600 MCQs 06 Practice Topic Complement of a Set and its properties 600 MCQs 07 Practice Topic The Empty Set, many more. Step 3: Hence the set is infinite. 1 MCQs

Power Set and Universal Set Practice Questions

Showing 461-470 of 588 questions.

Search
Question 461/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(A={\varnothing,{\varnothing}}\) है, तो (|\mathcal{P}(A)|) कितना है?

If \(A={\varnothing,{\varnothing}}\), what is (|\mathcal{P}(A)|)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

समुच्चय (A) में दो अलग सदस्य \(\varnothing\) और \({\varnothing}\) हैं, इसलिए (|\mathcal{P}(A)|=22=4)। परीक्षा में nested elements को गिनते समय सावधान रहें। / The set (A) has two distinct members \(\varnothing\) and \({\varnothing}\), so (|\mathcal{P}(A)|=22=4). In exams, be careful while counting nested elements.

Open Question Page
Ask Friends
Question 462/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\) है, तो निश्चित रूप से कौन सा कथन सही है?

If \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\), which statement is definitely true?

Explanation opens after your attempt
Correct Answer

A. \(A\subseteq U\)

Explanation

Simple Explanation

क्योंकि \(A\in \mathcal{P}(A)\), इसलिए \(A\in \mathcal{P}(U)\) और अतः \(A\subseteq U\)। परीक्षा में \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\) से \(A\subseteq U\) निकालें। / Since \(A\in \mathcal{P}(A)\), \(A\in \mathcal{P}(U)\), hence \(A\subseteq U\). In exams, infer \(A\subseteq U\) from \(\mathcal{P}(A)\subseteq \mathcal{P}(U)\).

Open Question Page
Ask Friends
Question 463/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(A\subseteq U\), (|U|=7), और (|\mathcal{P}(A')|=8) है, तो (|A|) कितना होगा?

If \(A\subseteq U\), (|U|=7), and (|\mathcal{P}(A')|=8), what is (|A|)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

(|\mathcal{P}(A')|=8=23), इसलिए (|A'|=3) और (|A|=7-3=4)। परीक्षा में \(2^n\) से (n) पहचानें। / (|\mathcal{P}(A')|=8=23), so (|A'|=3) and (|A|=7-3=4). In exams, identify (n) from \(2^n\).

Open Question Page
Ask Friends
Question 464/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(A=\{1,2\}\) और \(B=\{2,3\}\) है, तो (\mathcal{P}\(A\cup B\)) में कितने proper subsets होंगे?

If \(A=\{1,2\}\) and \(B=\{2,3\}\), how many proper subsets are in (\mathcal{P}\(A\cup B\))?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

\(A\cup B={1,2,3}\), इसलिए कुल subsets \(2^3=8\) और proper subsets (8-1=7) हैं। परीक्षा में पूरा समुच्चय हटाना न भूलें। / \(A\cup B={1,2,3}\), so total subsets are \(2^3=8\) and proper subsets are (8-1=7). In exams, do not forget to exclude the whole set.

Open Question Page
Ask Friends
Question 465/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(U=\{1,2,3,4,5\}\) और \(A=\{1,4\}\) है, तो \(\mathcal{P}(A)\cap \mathcal{P}(A')\) क्या होगा?

If \(U=\{1,2,3,4,5\}\) and \(A=\{1,4\}\), what is \(\mathcal{P}(A)\cap \mathcal{P}(A')\)?

Explanation opens after your attempt
Correct Answer

B. \({\varnothing}\)

Explanation

Simple Explanation

(A) और (A') असंबद्ध हैं, इसलिए दोनों के समान उपसमुच्चय में केवल \(\varnothing\) है। परीक्षा में intersection of power sets को common subsets समझें। / (A) and (A') are disjoint, so the only common subset is \(\varnothing\). In exams, understand intersection of power sets as common subsets.

Open Question Page
Ask Friends
Question 466/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(A\cap B=\varnothing\), (|A|=3), और (|B|=4) है, तो \(|\mathcal{P}(A)\cap\mathcal{P}(B)|\) कितना है?

If \(A\cap B=\varnothing\), (|A|=3), and (|B|=4), what is \(|\mathcal{P}(A)\cap\mathcal{P}(B)|\)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

जब \(A\cap B=\varnothing\), तब common subset केवल \(\varnothing\) होता है। इसलिए cardinality (1) है। / When \(A\cap B=\varnothing\), the only common subset is \(\varnothing\). Therefore the cardinality is (1).

Open Question Page
Ask Friends
Question 467/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि (|A|=4), (|B|=5), और \(|A\cap B|=2\) है, तो \(|\mathcal{P}(A)\cap\mathcal{P}(B)|\) कितना होगा?

If (|A|=4), (|B|=5), and \(|A\cap B|=2\), what is \(|\mathcal{P}(A)\cap\mathcal{P}(B)|\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

(\mathcal{P}(A)\cap\mathcal{P}(B)=\mathcal{P}\(A\cap B\)), इसलिए संख्या \(2^2=4\) है। परीक्षा में यह identity बहुत उपयोगी है। / (\mathcal{P}(A)\cap\mathcal{P}(B)=\mathcal{P}\(A\cap B\)), so the number is \(2^2=4\). This identity is very useful in exams.

Open Question Page
Ask Friends
Question 468/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(A=\{1,2\}\) और \(B=\{3,4\}\) है, तो (\mathcal{P}\(A\cup B\)-\(\mathcal{P}(A)\cup\mathcal{P}(B)\)) में कितने सदस्य होंगे?

If \(A=\{1,2\}\) and \(B=\{3,4\}\), how many members are in (\mathcal{P}\(A\cup B\)-\(\mathcal{P}(A)\cup\mathcal{P}(B)\))?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(|\mathcal{P}\(A\cup B\)|=16), \(|\mathcal{P}(A)\cup\mathcal{P}(B)|=4+4-1=7\), इसलिए अंतर (9) है। परीक्षा में \(\varnothing\) दोनों में common गिनें। / (|\mathcal{P}\(A\cup B\)|=16), \(|\mathcal{P}(A)\cup\mathcal{P}(B)|=4+4-1=7\), so the difference is (9). In exams, count \(\varnothing\) as common to both.

Open Question Page
Ask Friends
Question 469/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि \(A=\{p,q,r\}\) है, तो (\mathcal{P}(A)) में दो-सदस्यीय उपसमुच्चयों की संख्या कितनी है?

If \(A=\{p,q,r\}\), how many two-element subsets are in (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

दो-सदस्यीय subsets की संख्या \(\binom{3}{2}=3\) है। परीक्षा में fixed size subsets के लिए combination लगाएं। / The number of two-element subsets is \(\binom{3}{2}=3\). In exams, use combinations for fixed-size subsets.

Open Question Page
Ask Friends
Question 470/588 Expert Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि (|A|=6) है, तो (\mathcal{P}(A)) में ठीक (4) तत्वों वाले सदस्यों की संख्या कितनी है?

If (|A|=6), how many members of (\mathcal{P}(A)) have exactly (4) elements?

Explanation opens after your attempt
Correct Answer

B. (15)

Explanation

Simple Explanation

ऐसे subsets की संख्या \(\binom{6}{4}=15\) होती है। परीक्षा में \(\binom{6}{4}=\binom{6}{2}\) का प्रयोग तेज गणना के लिए करें। / The number of such subsets is \(\binom{6}{4}=15\). In exams, use \(\binom{6}{4}=\binom{6}{2}\) for faster calculation.

Open Question Page
Ask Friends

Power Set and Universal Set Learning Links

Sets Chapter

All chapter topics and quizzes

Easy Power Set and Universal Set Test

Topic-wise timed quiz

Mathematics Subject

All chapters and levels

Search Power Set and Universal Set

Find related MCQs