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 421-430 of 615 questions.

Question 421/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

कौन-सा विकल्प सुव्यवस्थित समुच्चय का उदाहरण नहीं है?

Which option is not an example of a well-defined set?

Explanation opens after your attempt

Correct Answer

B. ({x:x is a beautiful number})

Step 1

Concept

समुच्चय तभी सुव्यवस्थित होता है जब सदस्यता साफ तय हो सके। / A set is well-defined when membership can be clearly decided.

Step 2

Why this answer is correct

सुंदर संख्या अलग-अलग लोगों के लिए अलग हो सकती है, इसलिए यह स्पष्ट नहीं है। / A beautiful number may mean different things to different people, so it is not clear.

Step 3

Exam Tip

परीक्षा में मत-आधारित शब्दों से सावधान रहें। / In exams, be careful with opinion-based words.

Open Question Page

Question 422/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

यदि \(Q={x:x\in \mathbb{Z},,x^2-4x+3=0}\), तो (Q) का सूची रूप क्या है?

If \(Q={x:x\in \mathbb{Z},,x^2-4x+3=0}\), what is the roster form of (Q)?

Explanation opens after your attempt

Correct Answer

A. \(Q=\{1,3\}\)

Step 1

Concept

(x^-2-4x+3=(x-1)(x-3)) है। / (x^-2-4x+3=(x-1)(x-3)).

Step 2

Why this answer is correct

अतः (x=1) या (x=3), दोनों पूर्णांक हैं। / Thus (x=1) or (x=3), and both are integers.

Step 3

Exam Tip

समीकरण हल करने के बाद ही सूची रूप लिखें। / Solve the equation first, then write the roster form.

Open Question Page

Question 423/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

समुच्चय \(R={x:x\in \mathbb{N},,\sqrt{x}\in \mathbb{N},,10<x<50}\) कौन-सा है?

Which is the set \(R={x:x\in \mathbb{N},,\sqrt{x}\in \mathbb{N},,10<x<50}\)?

Explanation opens after your attempt

Correct Answer

A. \(R=\{16,25,36,49\}\)

Step 1

Concept

\(\sqrt{x}\in \mathbb{N}\) का अर्थ है (x) पूर्ण वर्ग है। / \(\sqrt{x}\in \mathbb{N}\) means (x) is a perfect square.

Step 2

Why this answer is correct

(10) और (50) के बीच पूर्ण वर्ग (16,25,36,49) हैं। / The perfect squares between (10) and (50) are (16,25,36,49).

Step 3

Exam Tip

जड़ वाली शर्त में पूर्ण वर्गों की पहचान करें। / For square-root conditions, identify perfect squares.

Open Question Page

Question 424/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

कौन-सा समुच्चय \(S=\{-2,-1,0,1,2\}\) के बराबर है?

Which set is equal to \(S=\{-2,-1,0,1,2\}\)?

Explanation opens after your attempt

Correct Answer

A. \({x:x\in \mathbb{Z},,x^2\leq4}\)

Step 1

Concept

\(x^2\leq4\) का अर्थ \(-2\leq x\leq2\) है। / \(x^2\leq4\) means \(-2\leq x\leq2\).

Step 2

Why this answer is correct

पूर्णांक मान (-2,-1,0,1,2) मिलते हैं। / The integer values are (-2,-1,0,1,2).

Step 3

Exam Tip

\(\leq\) होने पर सीमा के मान भी शामिल होते हैं। / When \(\leq\) is used, boundary values are included.

Open Question Page

Question 425/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

\(यदि (T={x:x\in \mathbb{N},,x\) is a two-digit number and sum of digits is 9}), तो (T) का सूची रूप क्या है?

\(If (T={x:x\in \mathbb{N},,x\) is a two-digit number and sum of digits is 9}), what is the roster form of (T)?

Explanation opens after your attempt

Correct Answer

A. \(T=\{18,27,36,45,54,63,72,81,90\}\)

Step 1

Concept

दो अंकों की संख्या में दहाई अंक (1) से (9) तक हो सकता है। / In a two-digit number, the tens digit can be (1) to (9).

Step 2

Why this answer is correct

अंकों का योग (9) रखने पर (18,27,36,45,54,63,72,81,90) मिलते हैं। / Making the digit sum (9) gives (18,27,36,45,54,63,72,81,90).

Step 3

Exam Tip

(90) को न भूलें, क्योंकि (9+0=9) है। / Do not miss (90), because (9+0=9).

Open Question Page

Question 426/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

समुच्चय \(U={x:x\in \mathbb{Z},,3x+2=11}\) के लिए सही विकल्प क्या है?

What is the correct option for \(U={x:x\in \mathbb{Z},,3x+2=11}\)?

Explanation opens after your attempt

Correct Answer

B. \(U=\{3\}\)

Step 1

Concept

(3x+2=11) से (3x=9) मिलता है। / From (3x+2=11), we get (3x=9).

Step 2

Why this answer is correct

(x=3) है और यह पूर्णांक है, इसलिए \(U=\{3\}\)। / (x=3), which is an integer, so \(U=\{3\}\).

Step 3

Exam Tip

हल मिलने के बाद जांचें कि वह दिए गए संख्या-समूह में आता है या नहीं। / After solving, check whether the solution belongs to the given domain.

Open Question Page

Question 427/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

\(यदि (V={x:x\in \mathbb{N},,x\) is a multiple of 4 and \(x<25}), तो सूची रूप क्या है\)?

\(If (V={x:x\in \mathbb{N},,x\) is a multiple of 4 and \(x<25}), what is the roster form\)?

Explanation opens after your attempt

Correct Answer

A. \(V=\{4,8,12,16,20,24\}\)

Step 1

Concept

(25) से छोटी (4) की धनात्मक गुणज संख्याएं लिखें। / Write positive multiples of (4) less than (25).

Step 2

Why this answer is correct

वे (4,8,12,16,20,24) हैं। / They are (4,8,12,16,20,24).

Step 3

Exam Tip

प्राकृतिक संख्या की परिभाषा में (0) शामिल है या नहीं, प्रश्न के पाठ्यक्रम के अनुसार सावधानी रखें; यहां धनात्मक गुणज लिए गए हैं। / Be careful about whether (0) is included in natural numbers; here the intended positive multiples are listed.

Open Question Page

Question 428/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

कौन-सा समुच्चय अनंत समुच्चय है?

Which of the following is an infinite set?

Explanation opens after your attempt

Correct Answer

C. \(({x:x\in \mathbb{N},,x\) is even})

Step 1

Concept

अनंत समुच्चय में तत्वों की संख्या समाप्त नहीं होती। / An infinite set has no last element.

Step 2

Why this answer is correct

सम प्राकृतिक संख्याएं \(2,4,6,\ldots\) बिना अंत के चलती हैं। / Even natural numbers \(2,4,6,\ldots\) continue without end.

Step 3

Exam Tip

सीमा लगी हो तो अक्सर समुच्चय परिमित होता है। / If a bound is given, the set is often finite.

Open Question Page

Question 429/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

यदि \(W={x:x\in \mathbb{Z},,x^2=9}\), तो (W) का सूची रूप है?

If \(W={x:x\in \mathbb{Z},,x^2=9}\), what is the roster form of (W)?

Explanation opens after your attempt

Correct Answer

C. \(W=\{-3,3\}\)

Step 1

Concept

\(x^2=9\) से \(x=\pm3\) मिलता है। / From \(x^2=9\), we get \(x=\pm3\).

Step 2

Why this answer is correct

दोनों (-3) और (3) पूर्णांक हैं। / Both (-3) and (3) are integers.

Step 3

Exam Tip

वर्ग समीकरण में धनात्मक और ऋणात्मक दोनों मूल जांचें। / For square equations, check both positive and negative roots.

Open Question Page

Question 430/615 Hard Mathematics Sets Sets and their representations Class 11 Level 3

समुच्चय \(X={x:x=3n-1,,n\in \mathbb{N},,1\leq n\leq5}\) का सूची रूप कौन-सा है?

Which is the roster form of \(X={x:x=3n-1,,n\in \mathbb{N},,1\leq n\leq5}\)?

Explanation opens after your attempt

Correct Answer

A. \(X=\{2,5,8,11,14\}\)

Step 1

Concept

(n=1,2,3,4,5) रखें। / Put (n=1,2,3,4,5).

Step 2

Why this answer is correct

(3n-1) से (2,5,8,11,14) मिलते हैं। / (3n-1) gives (2,5,8,11,14).

Step 3

Exam Tip

सूत्र में (n) की हर कीमत अलग से रखकर सूची बनाएं। / Substitute each allowed value of (n) carefully to form the roster.

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

कौन-सा विकल्प सुव्यवस्थित समुच्चय का उदाहरण नहीं है?

Concept

Why this answer is correct

Exam Tip

यदि \(Q={x:x\in \mathbb{Z},,x^2-4x+3=0}\), तो (Q) का सूची रूप क्या है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(R={x:x\in \mathbb{N},,\sqrt{x}\in \mathbb{N},,10<x<50}\) कौन-सा है?

Concept

Why this answer is correct

Exam Tip

कौन-सा समुच्चय \(S=\{-2,-1,0,1,2\}\) के बराबर है?

Concept

Why this answer is correct

Exam Tip

\(यदि (T={x:x\in \mathbb{N},,x\) is a two-digit number and sum of digits is 9}), तो (T) का सूची रूप क्या है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(U={x:x\in \mathbb{Z},,3x+2=11}\) के लिए सही विकल्प क्या है?

Concept

Why this answer is correct

Exam Tip

\(यदि (V={x:x\in \mathbb{N},,x\) is a multiple of 4 and \(x<25}), तो सूची रूप क्या है\)?

Concept

Why this answer is correct

Exam Tip

कौन-सा समुच्चय अनंत समुच्चय है?

Concept

Why this answer is correct

Exam Tip

यदि \(W={x:x\in \mathbb{Z},,x^2=9}\), तो (W) का सूची रूप है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(X={x:x=3n-1,,n\in \mathbb{N},,1\leq n\leq5}\) 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