Topic Wise MCQ

Mathematics Sets and their representations MCQ Questions for Class 11 Science

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 153 Questions Medium Test 155 Questions Hard Test 156 Questions Expert Test 154 Questions

Topic Navigation

Continue Chapter Revision

Next Topic Leaderboard

Sets and their representations Practice Questions

Showing 401-410 of 618 questions.

Question 401/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(समुच्चय (S_1={x:x\in \mathbb{N}\) और x संख्या 30 का भाजक है पर x सम नहीं है}) क्या है?

\(What is (S_1={x:x\in \mathbb{N}\) and x is a divisor of 30 but x is not even})?

Explanation opens after your attempt

Correct Answer

A. \(S_1={1,3,5,15}\)

Step 1

Concept

(30) के भाजक (1,2,3,5,6,10,15,30) हैं। / Divisors of (30) are (1,2,3,5,6,10,15,30).

Step 2

Why this answer is correct

सम भाजक हटाने पर (1,3,5,15) बचते हैं। / Removing even divisors leaves (1,3,5,15).

Step 3

Exam Tip

पर वाली शर्त में पहले मुख्य सूची बनाकर फिर हटाने वाली शर्त लागू करें। / For a but condition, first form the main list and then remove the excluded type.

Open Question Page

Question 402/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(यदि (T_1={x:x\in \mathbb{N}\) और \(x<10,\ x\) तथा 10-x दोनों अभाज्य हैं\(}), तो (T_1) क्या होगा\)?

\(If (T_1={x:x\in \mathbb{N}\) and \(x<10,\ x\) and 10-x are both prime\(}), what is (T_1)\)?

Explanation opens after your attempt

Correct Answer

A. \(T_1={3,5,7}\)

Step 1

Concept

(x) और (10-x) दोनों अभाज्य होने चाहिए। / Both (x) and (10-x) must be prime.

Step 2

Why this answer is correct

(x=3,5,7) पर क्रमशः (7,5,3) मिलते हैं, जो अभाज्य हैं। / For (x=3,5,7), the corresponding values (7,5,3) are prime.

Step 3

Exam Tip

दोहरी शर्त में हर चुने गए मान के साथ दूसरी अभिव्यक्ति भी जाँचें। / In double-condition sets, test the second expression for each candidate.

Open Question Page

Question 403/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(समुच्चय (U_1={x:x\in \mathbb{N}\) और \(\frac{20}{x}\) भी प्राकृत संख्या है}) का सूची रूप कौन सा है?

\(Which is the roster form of (U_1={x:x\in \mathbb{N}\) and \(\frac{20}{x}\) is also a natural number})?

Explanation opens after your attempt

Correct Answer

A. \(U_1={1,2,4,5,10,20}\)

Step 1

Concept

\(\frac{20}{x}\) प्राकृत हो, इसके लिए (x) को (20) का भाजक होना चाहिए। / For \(\frac{20}{x}\) to be natural, (x) must divide (20).

Step 2

Why this answer is correct

(20) के प्राकृत भाजक (1,2,4,5,10,20) हैं। / The natural divisors of (20) are (1,2,4,5,10,20).

Step 3

Exam Tip

भिन्न वाली शर्त में हर को ऐसा चुनें कि भाग पूरा-पूरा हो। / In fraction-based conditions, choose denominators that divide exactly.

Open Question Page

Question 404/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(यदि (V_1={x:x\) संख्या 1 से 30 तक की ऐसी संख्या है जिसके अंकों का योग 5 है\(}), तो (V_1) क्या है\)?

\(If (V_1={x:x\) is a number from 1 to 30 whose sum of digits is \(5}), what is (V_1)\)?

Explanation opens after your attempt

Correct Answer

A. \(V_1={5,14,23}\)

Step 1

Concept

(1) से (30) तक अंकों का योग (5) देखना है। / We check numbers from (1) to (30) whose digit sum is (5).

Step 2

Why this answer is correct

(5), (14) और (23) में अंकों का योग (5) है। / (5), (14), and (23) have digit sum (5).

Step 3

Exam Tip

अंकों के योग वाले प्रश्न में सीमा के बाहर की संख्या जैसे (32) न लें। / In digit-sum questions, do not include numbers outside the given range.

Open Question Page

Question 405/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(समुच्चय (W_1={x:x\in \mathbb{Z}\) और \(x^2=2x}) का सूची रूप क्या है\)?

\(What is the roster form of (W_1={x:x\in \mathbb{Z}\) and \(x^2=2x})\)?

Explanation opens after your attempt

Correct Answer

A. \(W_1={0,2}\)

Step 1

Concept

\(x^2=2x\) को \(x^2-2x=0\) लिखें। / Rewrite \(x^2=2x\) 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

जब (x) दोनों पक्ष में हो, तो सीधे काटने से पहले (x=0) की संभावना जाँचें। / When (x) appears on both sides, avoid canceling without checking (x=0).

Open Question Page

Question 406/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(यदि (X_1={x:x\in \mathbb{N}\) और x संख्या 42 का भाजक है तथा \(x>6}), तो (X_1) कौन सा है\)?

\(If (X_1={x:x\in \mathbb{N}\) and x is a divisor of 42 with \(x>6}), which is (X_1)\)?

Explanation opens after your attempt

Correct Answer

A. \(X_1={7,14,21,42}\)

Step 1

Concept

(42) के भाजक (1,2,3,6,7,14,21,42) हैं। / Divisors of (42) are (1,2,3,6,7,14,21,42).

Step 2

Why this answer is correct

(x>6) होने से (7,14,21,42) बचते हैं। / With (x>6), the remaining values are (7,14,21,42).

Step 3

Exam Tip

सीमा लागू करते समय बराबर का चिह्न है या नहीं, यह अवश्य देखें। / While applying a boundary, check whether equality is allowed.

Open Question Page

Question 407/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(समुच्चय (Y_1={x:x\) संख्या 1 से 20 तक है और x न 2 से विभाज्य है न 3 से}) का सूची रूप कौन सा है?

\(Which is the roster form of (Y_1={x:x\) is from 1 to 20 and x is divisible by neither 2 nor 3})?

Explanation opens after your attempt

Correct Answer

A. \(Y_1={1,5,7,11,13,17,19}\)

Step 1

Concept

(1) से (20) तक की संख्याओं में (2) या (3) से विभाज्य संख्याएँ हटाएँ। / From numbers (1) to (20), remove those divisible by (2) or by (3).

Step 2

Why this answer is correct

बची संख्याएँ (1,5,7,11,13,17,19) हैं। / The remaining numbers are (1,5,7,11,13,17,19).

Step 3

Exam Tip

न यह न वह वाली शर्त में दोनों प्रकार की संख्याएँ हटानी पड़ती हैं। / In a neither-nor condition, exclude both categories.

Open Question Page

Question 408/618 Hard Mathematics Sets Sets and their representations Class 11 Level 2

\(यदि (Z_1={x:x\in \mathbb{N}\) और \(x^2+x=20}), तो (Z_1) का सही सूची रूप क्या है\)?

\(If (Z_1={x:x\in \mathbb{N}\) and \(x^2+x=20}), what is the correct roster form of (Z_1)\)?

Explanation opens after your attempt

Correct Answer

A. \(Z_1={4}\)

Step 1

Concept

\(x^2+x=20\) को \(x^2+x-20=0\) लिखें। / Rewrite \(x^2+x=20\) as \(x^2+x-20=0\).

Step 2

Why this answer is correct

((x+5)(x-4)=0), इसलिए हल (-5) और (4) हैं, पर प्राकृत संख्या केवल (4) है। / ((x+5)(x-4)=0), so the solutions are (-5) and (4), but only (4) is natural.

Step 3

Exam Tip

समीकरण के सभी हलों में से वही चुनें जो दिए गए समुच्चय की शर्त में आते हों। / From all equation solutions, keep only values allowed by the set condition.

Open Question Page

Question 409/618 Hard Mathematics Sets Sets and their representations Class 11 Level 3

यदि \(A={x:x\in \mathbb{N},,x^2-7x+10=0}\), तो (A) का सूची रूप क्या होगा?

If \(A={x:x\in \mathbb{N},,x^2-7x+10=0}\), what is the roster form of (A)?

Explanation opens after your attempt

Correct Answer

B. \(A=\{2,5\}\)

Step 1

Concept

दिए गए बहुपद को गुणनखंड करें: (x^-2-7x+10=(x-2)(x-5))। / Factor the quadratic: (x^-2-7x+10=(x-2)(x-5)).

Step 2

Why this answer is correct

इसलिए प्राकृतिक संख्याओं में (x=2) और (x=5) मिलते हैं। / The natural number solutions are (x=2) and (x=5).

Step 3

Exam Tip

परीक्षा में पहले प्रतिबंध \(x\in \mathbb{N}\) जरूर देखें, फिर सूची बनाएं। / In exams, always check the given domain before writing the roster form.

Open Question Page

Question 410/618 Hard Mathematics Sets Sets and their representations Class 11 Level 3

यदि \(A={x:x=\frac{n}{n+1},,n\in \mathbb{N},,1\leq n\leq4}\), तो (A) का सूची रूप कौन-सा है?

If \(A={x:x=\frac{n}{n+1},,n\in \mathbb{N},,1\leq n\leq4}\), which is the roster form of (A)?

Explanation opens after your attempt

Correct Answer

A. \(A=\left{\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}\right}\)

Step 1

Concept

दिए गए नियम में (n) के मान (1,2,3,4) रखने हैं। / Substitute the allowed values (n=1,2,3,4).

Step 2

Why this answer is correct

\(\frac{n}{n+1}\) से क्रमशः \(\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}\) मिलते हैं। / The expression \(\frac{n}{n+1}\) gives \(\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}\).

Step 3

Exam Tip

सूची रूप लिखते समय नियम को हर अनुमत मान पर अलग-अलग लागू करें। / In roster form questions, apply the rule separately to every permitted value.

Open Question Page

Mathematics Sets and their representations MCQ Questions for Class 11 Science

Start Sets and their representations Topic Quiz

Continue Chapter Revision

Related Topics

Sets and their representations Practice Questions

\(समुच्चय (S_1={x:x\in \mathbb{N}\) और x संख्या 30 का भाजक है पर x सम नहीं है}) क्या है?

Concept

Why this answer is correct

Exam Tip

\(यदि (T_1={x:x\in \mathbb{N}\) और \(x<10,\ x\) तथा 10-x दोनों अभाज्य हैं\(}), तो (T_1) क्या होगा\)?

Concept

Why this answer is correct

Exam Tip

\(समुच्चय (U_1={x:x\in \mathbb{N}\) और \(\frac{20}{x}\) भी प्राकृत संख्या है}) का सूची रूप कौन सा है?

Concept

Why this answer is correct

Exam Tip

\(यदि (V_1={x:x\) संख्या 1 से 30 तक की ऐसी संख्या है जिसके अंकों का योग 5 है\(}), तो (V_1) क्या है\)?

Concept

Why this answer is correct

Exam Tip

\(समुच्चय (W_1={x:x\in \mathbb{Z}\) और \(x^2=2x}) का सूची रूप क्या है\)?

Concept

Why this answer is correct

Exam Tip

\(यदि (X_1={x:x\in \mathbb{N}\) और x संख्या 42 का भाजक है तथा \(x>6}), तो (X_1) कौन सा है\)?

Concept

Why this answer is correct

Exam Tip

\(समुच्चय (Y_1={x:x\) संख्या 1 से 20 तक है और x न 2 से विभाज्य है न 3 से}) का सूची रूप कौन सा है?

Concept

Why this answer is correct

Exam Tip

\(यदि (Z_1={x:x\in \mathbb{N}\) और \(x^2+x=20}), तो (Z_1) का सही सूची रूप क्या है\)?

Concept

Why this answer is correct

Exam Tip

यदि \(A={x:x\in \mathbb{N},,x^2-7x+10=0}\), तो (A) का सूची रूप क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(A={x:x=\frac{n}{n+1},,n\in \mathbb{N},,1\leq n\leq4}\), तो (A) का सूची रूप कौन-सा 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