Topic Wise MCQ

Mathematics Sets and their representations MCQ Questions for Class 11

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

Start Sets and their representations Topic Quiz

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

Easy Test 154 Questions Medium Test 150 Questions Hard Test 156 Questions Expert Test 155 Questions

Topic Navigation

Continue Chapter Revision

Leaderboard

Sets and their representations Practice Questions

Showing 541-550 of 615 questions.

Question 541/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

समुच्चय \(N={x:x\in \mathbb{N},,x\leq 30,,x\) (6) का गुणज है पर (12) का गुणज नहीं है(}) कौन-सा है?

Which is the set \(N={x:x\in \mathbb{N},,x\leq 30,,x\) is a multiple of (6) but not a multiple of (12)(})?

Explanation opens after your attempt

Correct Answer

A. \(N=\{6,18,30\}\)

Step 1

Concept

(30) तक (6) के गुणज (6,12,18,24,30) हैं। / Multiples of (6) up to (30) are (6,12,18,24,30).

Step 2

Why this answer is correct

इनमें (12) के गुणज (12) और (24) हटाने होंगे। / Remove the multiples of (12), which are (12) and (24).

Step 3

Exam Tip

शर्त में यदि नहीं लिखा हो, तो उन अवयवों को जरूर निकालें। / When the condition says not, those elements must be excluded.

Open Question Page

Question 542/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

किस विकल्प में समुच्चय \(N={5,10,15,20,\ldots}\) को सही रूप से दिखाया गया है?

Which option correctly represents the set \(N={5,10,15,20,\ldots}\)?

Explanation opens after your attempt

Correct Answer

A. \(N={x:x=5n,,n\in \mathbb{N}}\)

Step 1

Concept

\(5,10,15,20,\ldots\) सभी (5) के धनात्मक गुणज हैं। / \(5,10,15,20,\ldots\) are positive multiples of (5).

Step 2

Why this answer is correct

इन्हें (5n) के रूप में लिखा जा सकता है, जहाँ \(n\in \mathbb{N}\)। / They can be written as (5n), where \(n\in \mathbb{N}\).

Step 3

Exam Tip

तीन बिंदु देखकर समझें कि समुच्चय आगे अनंत तक जा रहा है। / The dots show that the set continues infinitely.

Open Question Page

Question 543/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

यदि \(P={x:x\in \mathbb{Z},,x^2-5x+6=0}\), तो (P) का सही रूप है:

If \(P={x:x\in \mathbb{Z},,x^2-5x+6=0}\), then the correct form of (P) is:

Explanation opens after your attempt

Correct Answer

A. \(P=\{2,3\}\)

Step 1

Concept

\(x^2-5x+6\) को ((x-2)(x-3)) के रूप में लिखा जा सकता है। / \(x^2-5x+6\) can be written as ((x-2)(x-3)).

Step 2

Why this answer is correct

इससे (x=2) या (x=3) मिलता है। / This gives (x=2) or (x=3).

Step 3

Exam Tip

हलों को समुच्चय में एक-एक बार ही लिखें। / Write each solution only once in the set.

Open Question Page

Question 544/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

यदि \(O={x:x\in \mathbb{Z},,x^2=2x}\), तो (O) का सही रूप क्या है?

If \(O={x:x\in \mathbb{Z},,x^2=2x}\), what is the correct form of (O)?

Explanation opens after your attempt

Correct Answer

A. \(O=\{0,2\}\)

Step 1

Concept

\(x^2=2x\) को \(x^2-2x=0\) लिखें। / Write \(x^2=2x\) as \(x^2-2x=0\).

Step 2

Why this answer is correct

(x(x-2)=0), इसलिए (x=0) या (x=2)। / (x(x-2)=0), so (x=0) or (x=2).

Step 3

Exam Tip

गुणनखंड बनाते समय (x) से भाग देकर (x=0) को गलती से न हटाएँ। / Do not divide by (x) and accidentally lose the solution (x=0).

Open Question Page

Question 545/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

समुच्चय \(Q={x:x\in \mathbb{N},,x\) (100) से कम पूर्ण वर्ग है और (x) सम है(}) का सही सूची रूप क्या है?

What is the correct roster form of \(Q={x:x\in \mathbb{N},,x\) is a perfect square less than (100) and (x) is even(})?

Explanation opens after your attempt

Correct Answer

A. \(Q=\{4,16,36,64\}\)

Step 1

Concept

(100) से कम पूर्ण वर्ग (1,4,9,16,25,36,49,64,81) हैं। / Perfect squares less than (100) are (1,4,9,16,25,36,49,64,81).

Step 2

Why this answer is correct

इनमें सम अवयव (4,16,36,64) हैं। / The even elements among them are (4,16,36,64).

Step 3

Exam Tip

(100) शामिल नहीं होगा, क्योंकि शर्त (100) से कम है। / (100) is not included because the condition says less than (100).

Open Question Page

Question 546/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

समुच्चय \(P={x:x\) (1) से (100) तक ऐसी संख्या है जिसके अंतिम अंक (2) हैं(}) का सूची रूप क्या होगा?

What will be the roster form of \(P={x:x\) is a number from (1) to (100) whose last digit is (2)(})?

Explanation opens after your attempt

Correct Answer

A. \(P=\{2,12,22,32,42,52,62,72,82,92\}\)

Step 1

Concept

अंतिम अंक (2) होने पर संख्याएँ \(2,12,22,\ldots\) के रूप में बढ़ती हैं। / Numbers ending in (2) go as \(2,12,22,\ldots\).

Step 2

Why this answer is correct

(1) से (100) की सीमा में आखिरी ऐसी संख्या (92) है। / Within (1) to (100), the last such number is (92).

Step 3

Exam Tip

सीमा के बाहर (102) को शामिल नहीं करना चाहिए। / Do not include (102), because it is outside the given range.

Open Question Page

Question 547/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

यदि \(R={x:x\in \mathbb{Z},,x^3=x}\), तो (R) है:

If \(R={x:x\in \mathbb{Z},,x^3=x}\), then (R) is:

Explanation opens after your attempt

Correct Answer

A. \(R=\{-1,0,1\}\)

Step 1

Concept

\(x^3=x\) से \(x^3-x=0\) मिलता है। / From \(x^3=x\), we get \(x^3-x=0\).

Step 2

Why this answer is correct

(x(x-1)(x+1)=0), इसलिए (x=-1,0,1) हैं। / (x(x-1)(x+1)=0), so (x=-1,0,1).

Step 3

Exam Tip

पूर्णांक की शर्त होने पर ये तीनों मान मान्य हैं। / Since all three are integers, all are valid members.

Open Question Page

Question 548/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

यदि \(Q={x:x\in \mathbb{N},,x\) (1) से (20) तक है और (x) पूर्ण घन है(}), तो (Q) क्या है?

If \(Q={x:x\in \mathbb{N},,x\) is from (1) to (20) and (x) is a perfect cube(}), what is (Q)?

Explanation opens after your attempt

Correct Answer

A. \(Q=\{1,8\}\)

Step 1

Concept

प्राकृतिक संख्याओं के घन \(1^3,2^3,3^3,\ldots\) देखें। / Look at cubes of natural numbers: \(1^3,2^3,3^3,\ldots\).

Step 2

Why this answer is correct

\(1^3=1\) और \(2^3=8\) (20) तक आते हैं, पर \(3^3=27\) बाहर है। / \(1^3=1\) and \(2^3=8\) are within (20), but \(3^3=27\) is outside.

Step 3

Exam Tip

पूर्ण वर्ग और पूर्ण घन को आपस में न मिलाएँ। / Do not confuse perfect squares with perfect cubes.

Open Question Page

Question 549/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

समुच्चय \(S={x:x\) (15) से कम धनात्मक पूर्णांक है और (x) तथा (15) परस्पर अभाज्य हैं(}) का सूची रूप क्या है?

What is the roster form of \(S={x:x\) is a positive integer less than (15) and (x) is coprime to (15)(})?

Explanation opens after your attempt

Correct Answer

A. \(S=\{1,2,4,7,8,11,13,14\}\)

Step 1

Concept

(15) के अभाज्य गुणनखंड (3) और (5) हैं। / The prime factors of (15) are (3) and (5).

Step 2

Why this answer is correct

(15) से कम वे धनात्मक पूर्णांक लें जो (3) या (5) से विभाज्य न हों। / Choose positive integers less than (15) that are not divisible by (3) or (5).

Step 3

Exam Tip

(1) हर धनात्मक पूर्णांक से परस्पर अभाज्य माना जाता है। / (1) is considered coprime to every positive integer.

Open Question Page

Question 550/615 Expert Mathematics Sets Sets and their representations Class 11 Level 2

यदि \(R={x:x\in \mathbb{N},,x\) (36) का भाजक है और (x) विषम है(}), तो (R) का सूची रूप क्या है?

If \(R={x:x\in \mathbb{N},,x\) is a divisor of (36) and (x) is odd(}), what is the roster form of (R)?

Explanation opens after your attempt

Correct Answer

A. \(R=\{1,3,9\}\)

Step 1

Concept

(36) के धनात्मक भाजक (1,2,3,4,6,9,12,18,36) हैं। / The positive divisors of (36) are (1,2,3,4,6,9,12,18,36).

Step 2

Why this answer is correct

इनमें विषम अवयव (1,3,9) हैं। / The odd elements among them are (1,3,9).

Step 3

Exam Tip

(1) को हटाएँ नहीं, क्योंकि वह (36) का भाजक और विषम संख्या है। / Do not remove (1), because it is a divisor of (36) and an odd number.

Open Question Page

Mathematics Sets and their representations MCQ Questions for Class 11

Start Sets and their representations Topic Quiz

Continue Chapter Revision

Sets and their representations Practice Questions

समुच्चय \(N={x:x\in \mathbb{N},,x\leq 30,,x\) (6) का गुणज है पर (12) का गुणज नहीं है(}) कौन-सा है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में समुच्चय \(N={5,10,15,20,\ldots}\) को सही रूप से दिखाया गया है?

Concept

Why this answer is correct

Exam Tip

यदि \(P={x:x\in \mathbb{Z},,x^2-5x+6=0}\), तो (P) का सही रूप है:

Concept

Why this answer is correct

Exam Tip

यदि \(O={x:x\in \mathbb{Z},,x^2=2x}\), तो (O) का सही रूप क्या है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(Q={x:x\in \mathbb{N},,x\) (100) से कम पूर्ण वर्ग है और (x) सम है(}) का सही सूची रूप क्या है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(P={x:x\) (1) से (100) तक ऐसी संख्या है जिसके अंतिम अंक (2) हैं(}) का सूची रूप क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(R={x:x\in \mathbb{Z},,x^3=x}\), तो (R) है:

Concept

Why this answer is correct

Exam Tip

यदि \(Q={x:x\in \mathbb{N},,x\) (1) से (20) तक है और (x) पूर्ण घन है(}), तो (Q) क्या है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(S={x:x\) (15) से कम धनात्मक पूर्णांक है और (x) तथा (15) परस्पर अभाज्य हैं(}) का सूची रूप क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(R={x:x\in \mathbb{N},,x\) (36) का भाजक है और (x) विषम है(}), तो (R) का सूची रूप क्या है?

Concept

Why this answer is correct

Exam Tip

Sets and their representations Learning Links

Sets Chapter

Easy Sets and their representations Test

Mathematics Subject

Search Sets and their representations

Login to view answers