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Mathematics Complement of a Set and its properties MCQ Questions for Class 11 General

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Question 531/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

\(यदि (U={x:x \in \mathbb{N},x\le 32}) और (A={x:x \in U,x=2^k\) किसी \(k\in\mathbb{N}_0\) के लिए}), तो (n(A')) क्या है?

\(If (U={x:x \in \mathbb{N},x\le 32}) and (A={x:x \in U,x=2^k\) for some \(k\in\mathbb{N}_0}), what is (n(A'))\)?

Explanation opens after your attempt

Correct Answer

A. (26)

Explanation

Simple Explanation

(32) तक (2) की घातें (1,2,4,8,16,32) हैं, इसलिए (A) में (6) सदस्य हैं। पूरक में (32-6=26) सदस्य हैं। / Powers of (2) up to (32) are (1,2,4,8,16,32), so (A) has (6) elements. The complement has (32-6=26) elements.

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Question 532/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

यदि \(U={1,2,\ldots,20}\), (A'={2,3,5,7,11,13,17,19}), तो (A) क्या है?

If \(U={1,2,\ldots,20}\) and (A'={2,3,5,7,11,13,17,19}), what is (A)?

Explanation opens after your attempt

Correct Answer

A. ({1,4,6,8,9,10,12,14,15,16,18,20})

Explanation

Simple Explanation

(A=U-A') होता है। दिए गए अभाज्य सदस्यों को (U) से हटाने पर उत्तर मिलता है। / (A=U-A'). Removing the given prime elements from (U) gives the answer.

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Question 533/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

यदि \(A-B=\varnothing\), तो निम्न में से कौन सा कथन अवश्य सत्य है?

If \(A-B=\varnothing\), which of the following statements must be true?

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Correct Answer

A. \(A\subseteq B\)

Explanation

Simple Explanation

\(A-B=\varnothing\) का अर्थ है कि (A) का कोई सदस्य (B) से बाहर नहीं है। इसलिए \(A\subseteq B\) है। / \(A-B=\varnothing\) means no element of (A) lies outside (B). Hence \(A\subseteq B\).

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Question 534/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

यदि \(U={1,2,\ldots,54}\), \(A={x:x \in U,9\mid x}\), \(B={x:x \in U,6\mid x}\), तो (n\(A'\cap B'\)) क्या है?

If \(U={1,2,\ldots,54}\), \(A={x:x \in U,9\mid x}\), and \(B={x:x \in U,6\mid x}\), what is (n\(A'\cap B'\))?

Explanation opens after your attempt

Correct Answer

A. (42)

Explanation

Simple Explanation

(A'\cap B'=\(A\cup B\)') है। (9) या (6) से विभाज्य संख्याएं (6+9-3=12) हैं, इसलिए पूरक (42) है। / (A'\cap B'=\(A\cup B\)'). Numbers divisible by (9) or (6) are (6+9-3=12), so the complement is (42).

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Question 535/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

\(यदि (U=\mathbb{R}) और (A={x:x \in \mathbb{R},x\le -1\) या \(x>3}), तो (A') क्या है\)?

\(If (U=\mathbb{R}) and (A={x:x \in \mathbb{R},x\le -1\) or \(x>3}), what is (A')\)?

Explanation opens after your attempt

Correct Answer

A. ((-1,3])

Explanation

Simple Explanation

(A) में (-1) शामिल है, इसलिए पूरक में नहीं आएगा। (3) (A) में नहीं है, इसलिए पूरक में शामिल होगा। / (A) includes (-1), so it is not in the complement. The point (3) is not in (A), so it is included in the complement.

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Question 536/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

\(यदि (U={1,2,\ldots,28}), (A={x:x \in U,x\) विषम है\(}) और (B={x:x \in U,7\mid x}), तो (A'\cap B) क्या है\)?

\(If (U={1,2,\ldots,28}), (A={x:x \in U,x\) is odd\(}), and (B={x:x \in U,7\mid x}), what is (A'\cap B)\)?

Explanation opens after your attempt

Correct Answer

A. ({14,28})

Explanation

Simple Explanation

(A') सम संख्याओं का समुच्चय है। (7) के गुणजों में सम सदस्य (14) और (28) हैं। / (A') is the set of even numbers. Among multiples of (7), the even members are (14) and (28).

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Question 537/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

\(यदि (U={1,2,\ldots,22}), (A={x:x \in U,x\) अभाज्य है}), तो (A') में कितनी विषम संख्याएं हैं?

\(If (U={1,2,\ldots,22}), (A={x:x \in U,x\) is prime}), how many odd numbers are in (A')?

Explanation opens after your attempt

Correct Answer

A. (4)

Explanation

Simple Explanation

(22) तक विषम संख्याएं (11) हैं। उनमें अभाज्य विषम (3,5,7,11,13,17,19) हटेंगे, इसलिए (4) विषम मिश्रित या (1) बचते हैं। / There are (11) odd numbers up to (22). Removing odd primes (3,5,7,11,13,17,19) leaves (4) odd non-prime numbers including (1).

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Question 538/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

यदि \(U={1,2,\ldots,14}\), \(A=\{2,4,6,8,10,12,14\}\), तो \(A'\times A\) में कितने क्रमित युग्म होंगे?

If \(U={1,2,\ldots,14}\), \(A=\{2,4,6,8,10,12,14\}\), how many ordered pairs are in \(A'\times A\)?

Explanation opens after your attempt

Correct Answer

A. (49)

Explanation

Simple Explanation

(A') में (7) विषम सदस्य और (A) में (7) सम सदस्य हैं। इसलिए (n\(A'\times A\)=7\times 7=49) है। / (A') has (7) odd elements and (A) has (7) even elements. Hence (n\(A'\times A\)=7\times 7=49).

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Question 539/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

यदि \(U={x:x \in \mathbb{Z},-4\le x\le 6}\) और \(A=\{x:x \in U,(x-1)(x+2)\ge 0\}\), तो (A') क्या है?

If \(U={x:x \in \mathbb{Z},-4\le x\le 6}\) and \(A=\{x:x \in U,(x-1)(x+2)\ge 0\}\), what is (A')?

Explanation opens after your attempt

Correct Answer

A. ({-1,0})

Explanation

Simple Explanation

((x-1)(x+2)\ge 0) का हल \(x\le -2\) या \(x\ge 1\) है। इसलिए बीच के पूर्णांक (-1,0) पूरक में आते हैं। / The solution of ((x-1)(x+2)\ge 0) is \(x\le -2\) or \(x\ge 1\). Thus the middle integers (-1,0) are in the complement.

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Question 540/600 Expert Mathematics Sets Complement of a Set and its properties Class 11 Level 20

यदि (n(U)=200), (n(A')=76), (n(B')=89) और (n\(A'\cap B'\)=31), तो (n(\(A\cap B\)')) क्या है?

If (n(U)=200), (n(A')=76), (n(B')=89), and (n\(A'\cap B'\)=31), what is (n(\(A\cap B\)'))?

Explanation opens after your attempt

Correct Answer

A. (134)

Explanation

Simple Explanation

डी मॉर्गन से (\(A\cap B\)'=A'\cup B')। इसलिए (n\(A'\cup B'\)=76+89-31=134) है। / By De Morgan, (\(A\cap B\)'=A'\cup B'). Thus (n\(A'\cup B'\)=76+89-31=134).

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Mathematics Complement of a Set and its properties MCQ Questions for Class 11 General

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Complement of a Set and its properties Practice Questions

\(यदि (U={x:x \in \mathbb{N},x\le 32}) और (A={x:x \in U,x=2^k\) किसी \(k\in\mathbb{N}_0\) के लिए}), तो (n(A')) क्या है?

Simple Explanation

यदि \(U={1,2,\ldots,20}\), (A'={2,3,5,7,11,13,17,19}), तो (A) क्या है?

Simple Explanation

यदि \(A-B=\varnothing\), तो निम्न में से कौन सा कथन अवश्य सत्य है?

Simple Explanation

यदि \(U={1,2,\ldots,54}\), \(A={x:x \in U,9\mid x}\), \(B={x:x \in U,6\mid x}\), तो (n\(A'\cap B'\)) क्या है?

Simple Explanation

\(यदि (U=\mathbb{R}) और (A={x:x \in \mathbb{R},x\le -1\) या \(x>3}), तो (A') क्या है\)?

Simple Explanation

\(यदि (U={1,2,\ldots,28}), (A={x:x \in U,x\) विषम है\(}) और (B={x:x \in U,7\mid x}), तो (A'\cap B) क्या है\)?

Simple Explanation

\(यदि (U={1,2,\ldots,22}), (A={x:x \in U,x\) अभाज्य है}), तो (A') में कितनी विषम संख्याएं हैं?

Simple Explanation

यदि \(U={1,2,\ldots,14}\), \(A=\{2,4,6,8,10,12,14\}\), तो \(A'\times A\) में कितने क्रमित युग्म होंगे?

Simple Explanation

यदि \(U={x:x \in \mathbb{Z},-4\le x\le 6}\) और \(A=\{x:x \in U,(x-1)(x+2)\ge 0\}\), तो (A') क्या है?

Simple Explanation

यदि (n(U)=200), (n(A')=76), (n(B')=89) और (n\(A'\cap B'\)=31), तो (n(\(A\cap B\)')) क्या है?

Simple Explanation

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Mathematics Complement of a Set and its properties MCQ Questions for Class 11 General

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Complement of a Set and its properties Practice Questions

\(यदि (U={x:x \in \mathbb{N},x\le 32}) और (A={x:x \in U,x=2^k\) किसी \(k\in\mathbb{N}_0\) के लिए}), तो (n(A')) क्या है?

Simple Explanation

यदि \(U={1,2,\ldots,20}\), (A'={2,3,5,7,11,13,17,19}), तो (A) क्या है?

Simple Explanation

यदि \(A-B=\varnothing\), तो निम्न में से कौन सा कथन अवश्य सत्य है?

Simple Explanation

यदि \(U={1,2,\ldots,54}\), \(A={x:x \in U,9\mid x}\), \(B={x:x \in U,6\mid x}\), तो (n\(A'\cap B'\)) क्या है?

Simple Explanation

\(यदि (U=\mathbb{R}) और (A={x:x \in \mathbb{R},x\le -1\) या \(x>3}), तो (A') क्या है\)?

Simple Explanation

\(यदि (U={1,2,\ldots,28}), (A={x:x \in U,x\) विषम है\(}) और (B={x:x \in U,7\mid x}), तो (A'\cap B) क्या है\)?

Simple Explanation

\(यदि (U={1,2,\ldots,22}), (A={x:x \in U,x\) अभाज्य है}), तो (A') में कितनी विषम संख्याएं हैं?

Simple Explanation

यदि \(U={1,2,\ldots,14}\), \(A=\{2,4,6,8,10,12,14\}\), तो \(A'\times A\) में कितने क्रमित युग्म होंगे?

Simple Explanation

यदि \(U={x:x \in \mathbb{Z},-4\le x\le 6}\) और \(A=\{x:x \in U,(x-1)(x+2)\ge 0\}\), तो (A') क्या है?

Simple Explanation

यदि (n(U)=200), (n(A')=76), (n(B')=89) और (n\(A'\cap B'\)=31), तो (n(\(A\cap B\)')) क्या है?

Simple Explanation

Complement of a Set and its properties Learning Links

Sets Chapter

Easy Complement of a Set and its properties Test

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