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Mathematics Sets and their representations MCQ Questions for Class 11 Science

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Sets and their representations Practice Questions

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Question 421/618 Hard Mathematics Sets Sets and their representations Class 11 Level 3

\(यदि (L={x:x\in \mathbb{N},,x\leq20,,x\) is not divisible by 2 but divisible by 3}), तो (L) का सूची रूप है?

\(If (L={x:x\in \mathbb{N},,x\leq20,,x\) is not divisible by 2 but divisible by 3}), what is the roster form of (L)?

Explanation opens after your attempt

Correct Answer

B. \(L=\{3,9,15\}\)

Step 1

Concept

(20) तक (3) के गुणज (3,6,9,12,15,18) हैं। / Multiples of (3) up to (20) are (3,6,9,12,15,18).

Step 2

Why this answer is correct

इनमें (2) से विभाज्य संख्याएं हटाने पर (3,9,15) बचते हैं। / Removing numbers divisible by (2), we get (3,9,15).

Step 3

Exam Tip

मिली-जुली शर्तों में पहले बड़ी सूची बनाकर छांटना आसान रहता है। / For combined conditions, first make a broad list and then filter it.

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Question 422/618 Hard Mathematics Sets Sets and their representations Class 11 Level 3

समुच्चय \(M={x:x\in \mathbb{Z},,|x-2|\leq3}\) का सूची रूप क्या होगा?

What is the roster form of \(M={x:x\in \mathbb{Z},,|x-2|\leq3}\)?

Explanation opens after your attempt

Correct Answer

A. \(M=\{-1,0,1,2,3,4,5\}\)

Step 1

Concept

\(|x-2|\leq3\) से \(-3\leq x-2\leq3\) मिलता है। / \(|x-2|\leq3\) gives \(-3\leq x-2\leq3\).

Step 2

Why this answer is correct

इसमें (2) जोड़ने पर \(-1\leq x\leq5\), इसलिए पूर्णांक (-1,0,1,2,3,4,5) हैं। / Adding (2), we get \(-1\leq x\leq5\), so the integers are (-1,0,1,2,3,4,5).

Step 3

Exam Tip

परिमाप वाली असमानता को दो तरफ की असमानता में बदलें। / Convert modulus inequalities into a two-sided inequality.

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Question 423/618 Hard Mathematics Sets Sets and their representations Class 11 Level 3

कौन-सा समुच्चय \(N=\{2,4,8,16,32\}\) को सबसे सही ढंग से दर्शाता है?

Which set best represents \(N=\{2,4,8,16,32\}\)?

Explanation opens after your attempt

Correct Answer

B. \(N={x:x=2^n,,n\in \mathbb{N},,1\leq n\leq5}\)

Step 1

Concept

दिए गए तत्व \(2^1,2^2,2^3,2^4,2^5\) हैं। / The given elements are \(2^1,2^2,2^3,2^4,2^5\).

Step 2

Why this answer is correct

इसलिए \(x=2^n\) और \(1\leq n\leq5\) सही है। / Hence \(x=2^n\) with \(1\leq n\leq5\) is correct.

Step 3

Exam Tip

घात वाले पैटर्न में (n) की शुरुआती कीमत बहुत ध्यान से देखें। / For power patterns, check the starting value of (n) carefully.

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Question 424/618 Hard Mathematics Sets Sets and their representations Class 11 Level 3

\(यदि (P={x:x\in \mathbb{N},,x\) divides 48 and \(x>12}), तो (P) क्या है\)?

\(If (P={x:x\in \mathbb{N},,x\) divides 48 and \(x>12}), what is (P)\)?

Explanation opens after your attempt

Correct Answer

A. \(P=\{16,24,48\}\)

Step 1

Concept

(48) के भाजक (1,2,3,4,6,8,12,16,24,48) हैं। / Factors of (48) are (1,2,3,4,6,8,12,16,24,48).

Step 2

Why this answer is correct

(12) से बड़े भाजक (16,24,48) हैं। / The factors greater than (12) are (16,24,48).

Step 3

Exam Tip

(x>12) में (12) शामिल नहीं होता। / In (x>12), the value (12) itself is not included.

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Question 425/618 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.

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Question 426/618 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.

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Question 427/618 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.

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Question 428/618 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.

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Question 429/618 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).

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Question 430/618 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.

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Mathematics Sets and their representations MCQ Questions for Class 11 Science

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Sets and their representations Practice Questions

\(यदि (L={x:x\in \mathbb{N},,x\leq20,,x\) is not divisible by 2 but divisible by 3}), तो (L) का सूची रूप है?

Concept

Why this answer is correct

Exam Tip

समुच्चय \(M={x:x\in \mathbb{Z},,|x-2|\leq3}\) का सूची रूप क्या होगा?

Concept

Why this answer is correct

Exam Tip

कौन-सा समुच्चय \(N=\{2,4,8,16,32\}\) को सबसे सही ढंग से दर्शाता है?

Concept

Why this answer is correct

Exam Tip

\(यदि (P={x:x\in \mathbb{N},,x\) divides 48 and \(x>12}), तो (P) क्या है\)?

Concept

Why this answer is correct

Exam Tip

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

Sets and their representations Learning Links

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