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Mathematics Quiz - Class 11 Mathematics Easy Level 13 Quiz

Question 1/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में आयत सामान्यतः किस समुच्चय को दर्शाता है?

In a Venn diagram, what does the rectangle usually represent?

Explanation opens after your attempt

Correct Answer

A. सार्वत्रिक समुच्चय (U)Universal set (U)

Step 1

Concept

In a Venn diagram, the whole rectangle represents (U). In exams, all other sets are considered inside this (U).

Step 2

Why this answer is correct

The correct answer is A. सार्वत्रिक समुच्चय (U) / Universal set (U). In a Venn diagram, the whole rectangle represents (U). In exams, all other sets are considered inside this (U).

Step 3

Exam Tip

वेन आरेख में पूरा आयत (U) को दर्शाता है। परीक्षा में बाकी सभी समुच्चय इसी (U) के अंदर माने जाते हैं।

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Question 2/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=18), (n(B)=20), और (n\(A\cap B\)=6), तो (n\(A\cup B\)) क्या होगा?

If (n(A)=18), (n(B)=20), and (n\(A\cap B\)=6), what will (n\(A\cup B\)) be?

Explanation opens after your attempt

Correct Answer

A. (32)

Step 1

Concept

Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (18+20-6=32). Subtract the common part once to avoid double counting.

Step 2

Why this answer is correct

The correct answer is A. (32). Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (18+20-6=32). Subtract the common part once to avoid double counting.

Step 3

Exam Tip

सूत्र (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)) से (18+20-6=32) मिलता है। साझा भाग को दो बार गिनने से बचने के लिए एक बार घटाएं।

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Question 3/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में दो वृत्तों का समान भाग किसे दर्शाता है?

In a Venn diagram, what does the common part of two circles represent?

Explanation opens after your attempt

Correct Answer

B. \(A\cap B\)

Step 1

Concept

The shared part of two circles is \(A\cap B\). Remember that common part means intersection.

Step 2

Why this answer is correct

The correct answer is B. \(A\cap B\). The shared part of two circles is \(A\cap B\). Remember that common part means intersection.

Step 3

Exam Tip

दो वृत्तों का साझा भाग \(A\cap B\) होता है। याद रखें कि साझा भाग का मतलब प्रतिच्छेद है।

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Question 4/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=45) और (n\(A\cup B\)=29), तो वेन आरेख में न (A) न (B) वाले क्षेत्र में कितने अवयव होंगे?

If (n(U)=45) and (n\(A\cup B\)=29), how many elements will be in the region neither in (A) nor in (B) in the Venn diagram?

Explanation opens after your attempt

Correct Answer

A. (16)

Step 1

Concept

The region neither in (A) nor in (B) is (\(A\cup B\)'), so the number is (45-29=16). It is outside both circles but inside (U).

Step 2

Why this answer is correct

The correct answer is A. (16). The region neither in (A) nor in (B) is (\(A\cup B\)'), so the number is (45-29=16). It is outside both circles but inside (U).

Step 3

Exam Tip

न (A) न (B) वाला क्षेत्र (\(A\cup B\)') है, इसलिए संख्या (45-29=16) होगी। यह दोनों वृत्तों के बाहर लेकिन (U) के अंदर का भाग है।

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Question 5/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में \(A\cup B\) किस क्षेत्र को दर्शाता है?

Which region does \(A\cup B\) represent in a Venn diagram?

Explanation opens after your attempt

Correct Answer

C. (A) या (B) या दोनों(A) or (B) or both

Step 1

Concept

\(A\cup B\) includes all regions of (A) and (B). In exams, take the complete area of both circles for union.

Step 2

Why this answer is correct

The correct answer is C. (A) या (B) या दोनों / (A) or (B) or both. \(A\cup B\) includes all regions of (A) and (B). In exams, take the complete area of both circles for union.

Step 3

Exam Tip

\(A\cup B\) में (A) और (B) के सभी क्षेत्र आते हैं। परीक्षा में संघ के लिए दोनों वृत्तों का पूरा भाग लें।

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Question 6/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A=\{1,2,3,4,5\}\) और \(B=\{4,5,6,7\}\), तो वेन आरेख में केवल (A) वाला क्षेत्र कौन सा है?

If \(A=\{1,2,3,4,5\}\) and \(B=\{4,5,6,7\}\), which is the only (A) region in the Venn diagram?

Explanation opens after your attempt

Correct Answer

A. ({1,2,3})

Step 1

Concept

Only (A) means (A-B), so after removing (4,5) of (B), ({1,2,3}) remains. In a Venn diagram, the only region is outside the common part.

Step 2

Why this answer is correct

The correct answer is A. ({1,2,3}). Only (A) means (A-B), so after removing (4,5) of (B), ({1,2,3}) remains. In a Venn diagram, the only region is outside the common part.

Step 3

Exam Tip

केवल (A) का अर्थ (A-B) है, इसलिए (B) के (4,5) हटाने पर ({1,2,3}) बचता है। वेन आरेख में केवल वाला भाग साझा क्षेत्र के बाहर होता है।

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Question 7/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में (A') किस क्षेत्र को दर्शाता है?

Which region does (A') represent in a Venn diagram?

Explanation opens after your attempt

Correct Answer

B. (A) के बाहर लेकिन (U) के अंदर का भागPart outside (A) but inside (U)

Step 1

Concept

(A') contains the elements of (U) that are not in (A). Complement is always taken with respect to (U).

Step 2

Why this answer is correct

The correct answer is B. (A) के बाहर लेकिन (U) के अंदर का भाग / Part outside (A) but inside (U). (A') contains the elements of (U) that are not in (A). Complement is always taken with respect to (U).

Step 3

Exam Tip

(A') में (U) के वे अवयव आते हैं जो (A) में नहीं हैं। पूरक हमेशा (U) के सापेक्ष लिया जाता है।

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Question 8/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=12), (n(B)=9), और (n\(A\cap B\)=4), तो (n\(A\cup B\)) क्या है?

If (n(A)=12), (n(B)=9), and (n\(A\cap B\)=4), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

A. (17)

Step 1

Concept

Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (12+9-4=17). The common part must be subtracted once.

Step 2

Why this answer is correct

The correct answer is A. (17). Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (12+9-4=17). The common part must be subtracted once.

Step 3

Exam Tip

सूत्र (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)) से (12+9-4=17) मिलता है। साझा भाग को एक बार घटाना जरूरी है।

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Question 9/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=20), (n(B)=15), और (n\(A\cup B\)=28), तो (n\(A\cap B\)) क्या है?

If (n(A)=20), (n(B)=15), and (n\(A\cup B\)=28), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

(n\(A\cap B\)=20+15-28=7). To find intersection of two sets, subtract the union from the sum.

Step 2

Why this answer is correct

The correct answer is B. (7). (n\(A\cap B\)=20+15-28=7). To find intersection of two sets, subtract the union from the sum.

Step 3

Exam Tip

(n\(A\cap B\)=20+15-28=7) होगा। दो समुच्चयों में प्रतिच्छेद निकालने के लिए संघ को घटाएं।

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Question 10/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=30), (n(A)=11), तो (n(A')) क्या होगा?

If (n(U)=30) and (n(A)=11), what will (n(A')) be?

Explanation opens after your attempt

Correct Answer

B. (19)

Step 1

Concept

(n(A')=n(U)-n(A)=30-11=19). In a Venn diagram, (A') means the part outside (A).

Step 2

Why this answer is correct

The correct answer is B. (19). (n(A')=n(U)-n(A)=30-11=19). In a Venn diagram, (A') means the part outside (A).

Step 3

Exam Tip

(n(A')=n(U)-n(A)=30-11=19)। वेन आरेख में (A') का अर्थ (A) के बाहर का भाग है।

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Question 11/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (A) और (B) असंबद्ध समुच्चय हैं, तो \(A\cap B\) क्या होगा?

If (A) and (B) are disjoint sets, what will \(A\cap B\) be?

Explanation opens after your attempt

Correct Answer

C. \(\varnothing\)

Step 1

Concept

Disjoint sets have no common element, so \(A\cap B=\varnothing\). In a Venn diagram, their circles appear separate.

Step 2

Why this answer is correct

The correct answer is C. \(\varnothing\). Disjoint sets have no common element, so \(A\cap B=\varnothing\). In a Venn diagram, their circles appear separate.

Step 3

Exam Tip

असंबद्ध समुच्चयों में कोई साझा अवयव नहीं होता, इसलिए \(A\cap B=\varnothing\)। वेन आरेख में इनके वृत्त अलग-अलग दिखते हैं।

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Question 12/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A\subseteq B\), तो वेन आरेख में (A) का वृत्त कहाँ होगा?

If \(A\subseteq B\), where will the circle of (A) be in a Venn diagram?

Explanation opens after your attempt

Correct Answer

B. (B) के अंदरInside (B)

Step 1

Concept

\(A\subseteq B\) means every element of (A) is in (B). So the circle of (A) is drawn inside (B).

Step 2

Why this answer is correct

The correct answer is B. (B) के अंदर / Inside (B). \(A\subseteq B\) means every element of (A) is in (B). So the circle of (A) is drawn inside (B).

Step 3

Exam Tip

\(A\subseteq B\) का अर्थ है कि (A) का हर अवयव (B) में है। इसलिए (A) का वृत्त (B) के अंदर बनेगा।

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Question 13/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में केवल (A) वाला क्षेत्र किससे लिखा जाता है?

In a Venn diagram, how is the region only in (A) written?

Explanation opens after your attempt

Correct Answer

B. (A-B)

Step 1

Concept

Only (A) contains elements that are in (A) but not in (B), so the region is (A-B). It can also be written as \(A\cap B'\).

Step 2

Why this answer is correct

The correct answer is B. (A-B). Only (A) contains elements that are in (A) but not in (B), so the region is (A-B). It can also be written as \(A\cap B'\).

Step 3

Exam Tip

केवल (A) में वे अवयव होते हैं जो (A) में हैं पर (B) में नहीं हैं, इसलिए क्षेत्र (A-B) है। इसे \(A\cap B'\) भी लिख सकते हैं।

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Question 14/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में केवल (B) वाला क्षेत्र किससे लिखा जाता है?

In a Venn diagram, how is the region only in (B) written?

Explanation opens after your attempt

Correct Answer

A. (B-A)

Step 1

Concept

Only (B) means being in (B) and not in (A). So the region is (B-A).

Step 2

Why this answer is correct

The correct answer is A. (B-A). Only (B) means being in (B) and not in (A). So the region is (B-A).

Step 3

Exam Tip

केवल (B) का अर्थ है (B) में होना और (A) में न होना। इसलिए क्षेत्र (B-A) है।

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Question 15/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=18) और (n\(A\cap B\)=6), तो केवल (A) में कितने अवयव होंगे?

If (n(A)=18) and (n\(A\cap B\)=6), how many elements are only in (A)?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

The number only in (A) is (n(A)-n\(A\cap B\)=18-6=12). Subtract the common part from total (A).

Step 2

Why this answer is correct

The correct answer is B. (12). The number only in (A) is (n(A)-n\(A\cap B\)=18-6=12). Subtract the common part from total (A).

Step 3

Exam Tip

केवल (A) की संख्या (n(A)-n\(A\cap B\)=18-6=12) है। कुल (A) से साझा भाग घटाएं।

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Question 16/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(B)=14) और (n\(A\cap B\)=5), तो केवल (B) में कितने अवयव होंगे?

If (n(B)=14) and (n\(A\cap B\)=5), how many elements are only in (B)?

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

The number only in (B) is (14-5=9). In the Venn diagram, subtract the middle part from (B).

Step 2

Why this answer is correct

The correct answer is B. (9). The number only in (B) is (14-5=9). In the Venn diagram, subtract the middle part from (B).

Step 3

Exam Tip

केवल (B) की संख्या (14-5=9) होगी। वेन आरेख में (B) से बीच वाला भाग घटाएं।

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Question 17/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A-B)=7) और (n\(A\cap B\)=3), तो (n(A)) क्या है?

If (n(A-B)=7) and (n\(A\cap B\)=3), what is (n(A))?

Explanation opens after your attempt

Correct Answer

C. (10)

Step 1

Concept

Set (A) includes only (A) and the common part, so (n(A)=7+3=10). Add all parts of circle (A).

Step 2

Why this answer is correct

The correct answer is C. (10). Set (A) includes only (A) and the common part, so (n(A)=7+3=10). Add all parts of circle (A).

Step 3

Exam Tip

(A) में केवल (A) और साझा भाग दोनों आते हैं, इसलिए (n(A)=7+3=10)। वृत्त (A) के सभी हिस्से जोड़ें।

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Question 18/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(B-A)=8) और (n\(A\cap B\)=4), तो (n(B)) क्या है?

If (n(B-A)=8) and (n\(A\cap B\)=4), what is (n(B))?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

Set (B) includes only (B) and the common part, so (n(B)=8+4=12). Count the whole (B) circle in the Venn diagram.

Step 2

Why this answer is correct

The correct answer is C. (12). Set (B) includes only (B) and the common part, so (n(B)=8+4=12). Count the whole (B) circle in the Venn diagram.

Step 3

Exam Tip

(B) में केवल (B) और साझा भाग आते हैं, इसलिए (n(B)=8+4=12)। वेन आरेख में पूरे (B) वृत्त को गिनें।

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Question 19/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A-B)=6), (n\(A\cap B\)=5), और (n(B-A)=4), तो (n\(A\cup B\)) क्या है?

If (n(A-B)=6), (n\(A\cap B\)=5), and (n(B-A)=4), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

The union includes all three regions, so (6+5+4=15). In a Venn diagram, do not add the overlap twice.

Step 2

Why this answer is correct

The correct answer is C. (15). The union includes all three regions, so (6+5+4=15). In a Venn diagram, do not add the overlap twice.

Step 3

Exam Tip

संघ में तीनों क्षेत्र आते हैं, इसलिए (6+5+4=15)। वेन आरेख में ओवरलैप को दो बार न जोड़ें।

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Question 20/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=40) और (n\(A\cup B\)=26), तो (A) या (B) में न होने वालों की संख्या क्या है?

If (n(U)=40) and (n\(A\cup B\)=26), what is the number of elements in neither (A) nor (B)?

Explanation opens after your attempt

Correct Answer

A. (14)

Step 1

Concept

The number in neither (A) nor (B) is (n(U)-n\(A\cup B\)=40-26=14). It is the part outside both circles inside the rectangle.

Step 2

Why this answer is correct

The correct answer is A. (14). The number in neither (A) nor (B) is (n(U)-n\(A\cup B\)=40-26=14). It is the part outside both circles inside the rectangle.

Step 3

Exam Tip

न तो (A) न (B) में संख्या (n(U)-n\(A\cup B\)=40-26=14) है। यह आयत में दोनों वृत्तों के बाहर का भाग है।

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Question 21/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में \(A'\cap B'\) किस क्षेत्र को दर्शाता है?

Which region does \(A'\cap B'\) represent in a Venn diagram?

Explanation opens after your attempt

Correct Answer

C. न (A) न (B)Neither (A) nor (B)

Step 1

Concept

\(A'\cap B'\) means not in (A) and not in (B). It is equal to (\(A\cup B\)').

Step 2

Why this answer is correct

The correct answer is C. न (A) न (B) / Neither (A) nor (B). \(A'\cap B'\) means not in (A) and not in (B). It is equal to (\(A\cup B\)').

Step 3

Exam Tip

\(A'\cap B'\) का अर्थ है (A) में नहीं और (B) में नहीं। यह (\(A\cup B\)') के बराबर होता है।

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Question 22/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में \(A'\cup B'\) किसके बराबर है?

In a Venn diagram, \(A'\cup B'\) is equal to what?

Explanation opens after your attempt

Correct Answer

A. (\(A\cap B\)')

Step 1

Concept

By De Morgan's law, (A'\cup B'=\(A\cap B\)'). This rule is useful in complement questions.

Step 2

Why this answer is correct

The correct answer is A. (\(A\cap B\)'). By De Morgan's law, (A'\cup B'=\(A\cap B\)'). This rule is useful in complement questions.

Step 3

Exam Tip

डी मॉर्गन नियम के अनुसार (A'\cup B'=\(A\cap B\)') होता है। पूरक वाले प्रश्नों में यह नियम उपयोगी है।

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Question 23/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=25), (n(B)=18), और (n\(A\cap B\)=10), तो केवल (A) में कितने अवयव हैं?

If (n(A)=25), (n(B)=18), and (n\(A\cap B\)=10), how many elements are only in (A)?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

The number only in (A) is (25-10=15). Subtract the common part from total (A).

Step 2

Why this answer is correct

The correct answer is C. (15). The number only in (A) is (25-10=15). Subtract the common part from total (A).

Step 3

Exam Tip

केवल (A) की संख्या (25-10=15) है। कुल (A) में से साझा भाग घटाना होता है।

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Question 24/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=16), (n(B)=22), और (n\(A\cap B\)=7), तो केवल (B) में कितने अवयव हैं?

If (n(A)=16), (n(B)=22), and (n\(A\cap B\)=7), how many elements are only in (B)?

Explanation opens after your attempt

Correct Answer

B. (15)

Step 1

Concept

The number only in (B) is (22-7=15). In the Venn diagram, separate the common part of circle (B).

Step 2

Why this answer is correct

The correct answer is B. (15). The number only in (B) is (22-7=15). In the Venn diagram, separate the common part of circle (B).

Step 3

Exam Tip

केवल (B) की संख्या (22-7=15) है। वेन आरेख में (B) वृत्त का साझा भाग अलग कर दें।

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Question 25/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=13), (n(B)=17), और (n\(A\cap B\)=5), तो (n\(A\cup B\)) क्या है?

If (n(A)=13), (n(B)=17), and (n\(A\cap B\)=5), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

A. (25)

Step 1

Concept

The number in the union is (13+17-5=25). Subtract the common part once to avoid double counting.

Step 2

Why this answer is correct

The correct answer is A. (25). The number in the union is (13+17-5=25). Subtract the common part once to avoid double counting.

Step 3

Exam Tip

संघ की संख्या (13+17-5=25) है। साझा भाग को दो बार गिनने से बचने के लिए एक बार घटाएं।

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Question 26/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=50), (n(A)=20), (n(B)=16), और (n\(A\cap B\)=6), तो न (A) न (B) में कितने अवयव हैं?

If (n(U)=50), (n(A)=20), (n(B)=16), and (n\(A\cap B\)=6), how many elements are in neither (A) nor (B)?

Explanation opens after your attempt

Correct Answer

B. (20)

Step 1

Concept

First (n\(A\cup B\)=20+16-6=30). Then neither (A) nor (B) has (50-30=20) elements.

Step 2

Why this answer is correct

The correct answer is B. (20). First (n\(A\cup B\)=20+16-6=30). Then neither (A) nor (B) has (50-30=20) elements.

Step 3

Exam Tip

पहले (n\(A\cup B\)=20+16-6=30)। फिर न (A) न (B) में (50-30=20) होंगे।

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Question 27/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=60), (n\(A\cup B\)=45), तो (\(A\cup B\)') में कितने अवयव हैं?

If (n(U)=60) and (n\(A\cup B\)=45), how many elements are in (\(A\cup B\)')?

Explanation opens after your attempt

Correct Answer

A. (15)

Step 1

Concept

(\(A\cup B\)') contains elements of (U) not in \(A\cup B\), so (60-45=15). It is the region outside both circles.

Step 2

Why this answer is correct

The correct answer is A. (15). (\(A\cup B\)') contains elements of (U) not in \(A\cup B\), so (60-45=15). It is the region outside both circles.

Step 3

Exam Tip

(\(A\cup B\)') में (U) के वे अवयव हैं जो \(A\cup B\) में नहीं हैं, इसलिए (60-45=15)। यह दोनों वृत्तों के बाहर का क्षेत्र है।

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Question 28/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=32), (n\(A\cap B\)=9), तो (\(A\cap B\)') में कितने अवयव हैं?

If (n(U)=32) and (n\(A\cap B\)=9), how many elements are in (\(A\cap B\)')?

Explanation opens after your attempt

Correct Answer

B. (23)

Step 1

Concept

(\(A\cap B\)') contains all elements of (U) except the common part, so (32-9=23). For complement, subtract from (U).

Step 2

Why this answer is correct

The correct answer is B. (23). (\(A\cap B\)') contains all elements of (U) except the common part, so (32-9=23). For complement, subtract from (U).

Step 3

Exam Tip

(\(A\cap B\)') में साझा भाग को छोड़कर (U) के सभी अवयव आते हैं, इसलिए (32-9=23)। पूरक के लिए (U) से घटाएं।

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Question 29/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि किसी कक्षा में (30) विद्यार्थी हैं, (18) क्रिकेट खेलते हैं, (12) फुटबॉल खेलते हैं और (5) दोनों खेलते हैं, तो कम से कम एक खेल खेलने वाले विद्यार्थी कितने हैं?

In a class of (30) students, (18) play cricket, (12) play football, and (5) play both. How many students play at least one game?

Explanation opens after your attempt

Correct Answer

A. (25)

Step 1

Concept

At least one game is (18+12-5=25). In a Venn diagram, do not count students who play both twice.

Step 2

Why this answer is correct

The correct answer is A. (25). At least one game is (18+12-5=25). In a Venn diagram, do not count students who play both twice.

Step 3

Exam Tip

कम से कम एक खेल (18+12-5=25) है। वेन आरेख में दोनों खेलने वालों को दो बार न गिनें।

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Question 30/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

किसी समूह में (40) लोग हैं, (22) चाय पसंद करते हैं, (18) कॉफी पसंद करते हैं और (7) दोनों पसंद करते हैं। कोई भी नहीं पसंद करने वाले लोग कितने हैं?

In a group of (40) people, (22) like tea, (18) like coffee, and (7) like both. How many people like neither?

Explanation opens after your attempt

Correct Answer

A. (7)

Step 1

Concept

People who like at least one are (22+18-7=33). Therefore, people who like neither are (40-33=7).

Step 2

Why this answer is correct

The correct answer is A. (7). People who like at least one are (22+18-7=33). Therefore, people who like neither are (40-33=7).

Step 3

Exam Tip

कम से कम एक पसंद करने वाले (22+18-7=33) हैं। इसलिए कोई भी नहीं पसंद करने वाले (40-33=7) हैं।

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Question 31/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

किसी सर्वे में (35) लोग हैं, (16) हिंदी पढ़ते हैं, (14) अंग्रेजी पढ़ते हैं और (6) दोनों पढ़ते हैं। केवल हिंदी पढ़ने वाले कितने हैं?

In a survey of (35) people, (16) read Hindi, (14) read English, and (6) read both. How many read only Hindi?

Explanation opens after your attempt

Correct Answer

B. (10)

Step 1

Concept

Those who read only Hindi are (16-6=10). Subtract the common part from that circle.

Step 2

Why this answer is correct

The correct answer is B. (10). Those who read only Hindi are (16-6=10). Subtract the common part from that circle.

Step 3

Exam Tip

केवल हिंदी पढ़ने वाले (16-6=10) हैं। किसी एक वृत्त से साझा भाग घटाएं।

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Question 32/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

एक क्लब में (28) सदस्य हैं, (15) संगीत पसंद करते हैं, (13) नृत्य पसंद करते हैं और (4) दोनों पसंद करते हैं। केवल नृत्य पसंद करने वाले कितने हैं?

In a club of (28) members, (15) like music, (13) like dance, and (4) like both. How many like only dance?

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

Those who like only dance are (13-4=9). In the Venn diagram, remove the common part from the dance circle.

Step 2

Why this answer is correct

The correct answer is B. (9). Those who like only dance are (13-4=9). In the Venn diagram, remove the common part from the dance circle.

Step 3

Exam Tip

केवल नृत्य पसंद करने वाले (13-4=9) हैं। वेन आरेख में नृत्य वृत्त का साझा भाग हटाएं।

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Question 33/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A=\{1,2,3,4\}\) और \(B=\{3,4,5,6\}\), तो वेन आरेख में \(A\cap B\) कौन सा है?

If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), which is \(A\cap B\) in the Venn diagram?

Explanation opens after your attempt

Correct Answer

B. ({3,4})

Step 1

Concept

The common elements of both sets are (3) and (4), so \(A\cap B={3,4}\). Intersection contains only common elements.

Step 2

Why this answer is correct

The correct answer is B. ({3,4}). The common elements of both sets are (3) and (4), so \(A\cap B={3,4}\). Intersection contains only common elements.

Step 3

Exam Tip

दोनों समुच्चयों में (3) और (4) समान हैं, इसलिए \(A\cap B={3,4}\)। प्रतिच्छेद में केवल साझा अवयव आते हैं।

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Question 34/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A=\{2,4,6\}\) और \(B=\{1,2,3,4\}\), तो (A-B) क्या है?

If \(A=\{2,4,6\}\) and \(B=\{1,2,3,4\}\), what is (A-B)?

Explanation opens after your attempt

Correct Answer

A. ({6})

Step 1

Concept

(A-B) contains elements of (A) that are not in (B), so only (6) remains. Be careful about order in difference.

Step 2

Why this answer is correct

The correct answer is A. ({6}). (A-B) contains elements of (A) that are not in (B), so only (6) remains. Be careful about order in difference.

Step 3

Exam Tip

(A-B) में (A) के वे अवयव हैं जो (B) में नहीं हैं, इसलिए केवल (6) बचेगा। अंतर में क्रम का ध्यान रखें।

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Question 35/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A=\{a,b,c\}\) और \(B=\{c,d,e\}\), तो \(A\cup B\) क्या है?

If \(A=\{a,b,c\}\) and \(B=\{c,d,e\}\), what is \(A\cup B\)?

Explanation opens after your attempt

Correct Answer

C. ({a,b,c,d,e})

Step 1

Concept

Union contains all distinct elements of both sets, so \(A\cup B={a,b,c,d,e}\). Write repeated elements only once.

Step 2

Why this answer is correct

The correct answer is C. ({a,b,c,d,e}). Union contains all distinct elements of both sets, so \(A\cup B={a,b,c,d,e}\). Write repeated elements only once.

Step 3

Exam Tip

संघ में दोनों समुच्चयों के सभी अलग-अलग अवयव आते हैं, इसलिए \(A\cup B={a,b,c,d,e}\)। दोहराए अवयव एक बार लिखें।

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Question 36/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(U=\{1,2,3,4,5\}\) और \(A=\{2,5\}\), तो (A') क्या है?

If \(U=\{1,2,3,4,5\}\) and \(A=\{2,5\}\), what is (A')?

Explanation opens after your attempt

Correct Answer

B. ({1,3,4})

Step 1

Concept

(A') contains the elements of (U) that are not in (A), namely ({1,3,4}). Always check (U) while finding complement.

Step 2

Why this answer is correct

The correct answer is B. ({1,3,4}). (A') contains the elements of (U) that are not in (A), namely ({1,3,4}). Always check (U) while finding complement.

Step 3

Exam Tip

(A') में (U) के वे अवयव होंगे जो (A) में नहीं हैं, यानी ({1,3,4})। पूरक निकालते समय (U) जरूर देखें।

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Question 37/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

तीन समुच्चयों के वेन आरेख में \(A\cap B\cap C\) किस क्षेत्र को दर्शाता है?

In a Venn diagram of three sets, which region does \(A\cap B\cap C\) represent?

Explanation opens after your attempt

Correct Answer

C. तीनों का साझा भागCommon part of all three

Step 1

Concept

\(A\cap B\cap C\) contains elements common to all three sets. In a Venn diagram, it is the central common region.

Step 2

Why this answer is correct

The correct answer is C. तीनों का साझा भाग / Common part of all three. \(A\cap B\cap C\) contains elements common to all three sets. In a Venn diagram, it is the central common region.

Step 3

Exam Tip

\(A\cap B\cap C\) में तीनों समुच्चयों के साझा अवयव होते हैं। वेन आरेख में यह बीच का सामान्य क्षेत्र होता है।

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Question 38/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि तीन समुच्चयों में \(A\cap B\cap C\) का मान (4) है, तो यह वेन आरेख में कहाँ लिखा जाएगा?

If the value of \(A\cap B\cap C\) for three sets is (4), where should it be written in the Venn diagram?

Explanation opens after your attempt

Correct Answer

C. तीनों वृत्तों के साझा भाग मेंIn the common part of all three circles

Step 1

Concept

\(A\cap B\cap C\) is the common part of all three circles, so (4) is written in the center. For three sets, it is good to fill the central part first.

Step 2

Why this answer is correct

The correct answer is C. तीनों वृत्तों के साझा भाग में / In the common part of all three circles. \(A\cap B\cap C\) is the common part of all three circles, so (4) is written in the center. For three sets, it is good to fill the central part first.

Step 3

Exam Tip

\(A\cap B\cap C\) तीनों वृत्तों का साझा भाग है, इसलिए (4) बीच में लिखा जाएगा। तीन समुच्चयों में सबसे पहले बीच का भाग भरना अच्छा रहता है।

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Question 39/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=10), (n(B)=8), (n(C)=6), (n\(A\cap B\)=3), (n\(A\cap C\)=2), (n\(B\cap C\)=1), और (n\(A\cap B\cap C\)=0), तो (n\(A\cup B\cup C\)) क्या है?

If (n(A)=10), (n(B)=8), (n(C)=6), (n\(A\cap B\)=3), (n\(A\cap C\)=2), (n\(B\cap C\)=1), and (n\(A\cap B\cap C\)=0), what is (n\(A\cup B\cup C\))?

Explanation opens after your attempt

Correct Answer

A. (18)

Step 1

Concept

Using the three-set formula gives (10+8+6-3-2-1+0=18). Subtract pairwise intersections and add the common part of all three.

Step 2

Why this answer is correct

The correct answer is A. (18). Using the three-set formula gives (10+8+6-3-2-1+0=18). Subtract pairwise intersections and add the common part of all three.

Step 3

Exam Tip

तीन समुच्चयों का सूत्र देने पर (10+8+6-3-2-1+0=18) मिलता है। जोड़ी वाले प्रतिच्छेद घटाएं और तीनों का साझा भाग जोड़ें।

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Question 40/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=9), (n(B)=7), (n\(A\cap B\)=2), तो केवल (A) और केवल (B) की कुल संख्या क्या है?

If (n(A)=9), (n(B)=7), and (n\(A\cap B\)=2), what is the total number of elements only in (A) and only in (B)?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

Only (A=9-2=7) and only (B=7-2=5), so the total is (12). Add only after separating the common part.

Step 2

Why this answer is correct

The correct answer is B. (12). Only (A=9-2=7) and only (B=7-2=5), so the total is (12). Add only after separating the common part.

Step 3

Exam Tip

केवल (A=9-2=7) और केवल (B=7-2=5), इसलिए कुल (12) है। साझा भाग अलग करने के बाद ही जोड़ें।

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Question 41/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A\cap B=\varnothing\), (n(A)=6), और (n(B)=11), तो (n\(A\cup B\)) क्या है?

If \(A\cap B=\varnothing\), (n(A)=6), and (n(B)=11), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

For disjoint sets, the common part is (0), so (n\(A\cup B\)=6+11=17). Add separate circles directly.

Step 2

Why this answer is correct

The correct answer is C. (17). For disjoint sets, the common part is (0), so (n\(A\cup B\)=6+11=17). Add separate circles directly.

Step 3

Exam Tip

असंबद्ध समुच्चयों में साझा भाग (0) होता है, इसलिए (n\(A\cup B\)=6+11=17)। अलग-अलग वृत्तों को सीधे जोड़ें।

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Question 42/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A\subseteq B\), (n(A)=5), और (n(B)=12), तो (n\(A\cup B\)) क्या है?

If \(A\subseteq B\), (n(A)=5), and (n(B)=12), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

When \(A\subseteq B\), \(A\cup B=B\), so the number is (12). In the Venn diagram, the smaller circle is inside the bigger one.

Step 2

Why this answer is correct

The correct answer is C. (12). When \(A\subseteq B\), \(A\cup B=B\), so the number is (12). In the Venn diagram, the smaller circle is inside the bigger one.

Step 3

Exam Tip

जब \(A\subseteq B\), तब \(A\cup B=B\), इसलिए संख्या (12) है। वेन आरेख में छोटा वृत्त बड़े के अंदर होता है।

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Question 43/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि \(A\subseteq B\), (n(A)=4), और (n(B)=10), तो (n\(A\cap B\)) क्या है?

If \(A\subseteq B\), (n(A)=4), and (n(B)=10), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

When \(A\subseteq B\), \(A\cap B=A\), so the number is (4). The entire inner set becomes the common part.

Step 2

Why this answer is correct

The correct answer is A. (4). When \(A\subseteq B\), \(A\cap B=A\), so the number is (4). The entire inner set becomes the common part.

Step 3

Exam Tip

जब \(A\subseteq B\), तब \(A\cap B=A\), इसलिए संख्या (4) है। अंदर वाला पूरा समुच्चय साझा भाग बनता है।

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Question 44/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में (A-B) किसके बराबर होता है?

In a Venn diagram, (A-B) is equal to what?

Explanation opens after your attempt

Correct Answer

A. \(A\cap B'\)

Step 1

Concept

(A-B) means being in (A) and not in (B), so it is \(A\cap B'\). This is the only (A) region.

Step 2

Why this answer is correct

The correct answer is A. \(A\cap B'\). (A-B) means being in (A) and not in (B), so it is \(A\cap B'\). This is the only (A) region.

Step 3

Exam Tip

(A-B) का अर्थ (A) में होना और (B) में न होना है, इसलिए \(A\cap B'\) है। यह केवल (A) क्षेत्र है।

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Question 45/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

वेन आरेख में (B-A) किसके बराबर होता है?

In a Venn diagram, (B-A) is equal to what?

Explanation opens after your attempt

Correct Answer

B. \(A'\cap B\)

Step 1

Concept

(B-A) means being in (B) and not in (A), so it is \(A'\cap B\). It is also called the only (B) region.

Step 2

Why this answer is correct

The correct answer is B. \(A'\cap B\). (B-A) means being in (B) and not in (A), so it is \(A'\cap B\). It is also called the only (B) region.

Step 3

Exam Tip

(B-A) का अर्थ (B) में होना और (A) में न होना है, इसलिए \(A'\cap B\) है। इसे केवल (B) क्षेत्र भी कहते हैं।

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Question 46/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

कौन सा कथन वेन आरेख के लिए सही है?

Which statement is correct for a Venn diagram?

Explanation opens after your attempt

Correct Answer

A. \(A\cap B\) में केवल साझा अवयव होते हैं\(A\cap B\) contains only common elements

Step 1

Concept

\(A\cap B\) is the common part of both sets. Identifying intersection is a basic Venn diagram skill.

Step 2

Why this answer is correct

The correct answer is A. \(A\cap B\) में केवल साझा अवयव होते हैं / \(A\cap B\) contains only common elements. \(A\cap B\) is the common part of both sets. Identifying intersection is a basic Venn diagram skill.

Step 3

Exam Tip

\(A\cap B\) दोनों समुच्चयों का साझा भाग है। प्रतिच्छेद को पहचानना वेन आरेख का मूल कौशल है।

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Question 47/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A-B)=9), (n\(A\cap B\)=4), (n(B-A)=6), और बाहर का क्षेत्र (5) है, तो (n(U)) क्या है?

If (n(A-B)=9), (n\(A\cap B\)=4), (n(B-A)=6), and the outside region is (5), what is (n(U))?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

(U) includes all regions of the Venn diagram, so (9+4+6+5=24). The number in the whole rectangle is the sum of all regions.

Step 2

Why this answer is correct

The correct answer is C. (24). (U) includes all regions of the Venn diagram, so (9+4+6+5=24). The number in the whole rectangle is the sum of all regions.

Step 3

Exam Tip

(U) में वेन आरेख के सभी क्षेत्र आते हैं, इसलिए (9+4+6+5=24)। पूरे आयत की संख्या सभी क्षेत्रों का योग है।

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Question 48/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(U)=70), बाहर का क्षेत्र (12), केवल (A) (18), और केवल (B) (20) है, तो (n\(A\cap B\)) क्या है?

If (n(U)=70), the outside region is (12), only (A) is (18), and only (B) is (20), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

A. (20)

Step 1

Concept

The common part is (70-12-18-20=20). To get an unknown region in a Venn diagram, subtract known regions from the total.

Step 2

Why this answer is correct

The correct answer is A. (20). The common part is (70-12-18-20=20). To get an unknown region in a Venn diagram, subtract known regions from the total.

Step 3

Exam Tip

साझा भाग (70-12-18-20=20) होगा। वेन आरेख में अज्ञात क्षेत्र पाने के लिए कुल से ज्ञात क्षेत्र घटाएं।

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Question 49/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n\(A\cup B\)=36), केवल (A) (14), और केवल (B) (11) है, तो (n\(A\cap B\)) क्या है?

If (n\(A\cup B\)=36), only (A) is (14), and only (B) is (11), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (11)

Step 1

Concept

The union contains only (A), the common part, and only (B), so the common part is (36-14-11=11). Remember the three regions of a union.

Step 2

Why this answer is correct

The correct answer is B. (11). The union contains only (A), the common part, and only (B), so the common part is (36-14-11=11). Remember the three regions of a union.

Step 3

Exam Tip

संघ में केवल (A), साझा भाग और केवल (B) आते हैं, इसलिए साझा भाग (36-14-11=11) है। संघ के तीन क्षेत्रों को याद रखें।

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Question 50/50 Easy Mathematics Sets Venn Diagrams Class 11 Level 13

यदि (n(A)=21), केवल (A) (13), और (n(B-A)=10), तो (n\(A\cup B\)) क्या है?

If (n(A)=21), only (A) is (13), and (n(B-A)=10), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

B. (31)

Step 1

Concept

First the common part is (21-13=8). Then (n\(A\cup B\)=13+8+10=31).

Step 2

Why this answer is correct

The correct answer is B. (31). First the common part is (21-13=8). Then (n\(A\cup B\)=13+8+10=31).

Step 3

Exam Tip

पहले साझा भाग (21-13=8) है। फिर (n\(A\cup B\)=13+8+10=31)।

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Class 11 Mathematics Easy Quiz

वेन आरेख में आयत सामान्यतः किस समुच्चय को दर्शाता है?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=18), (n(B)=20), और (n\(A\cap B\)=6), तो (n\(A\cup B\)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

वेन आरेख में दो वृत्तों का समान भाग किसे दर्शाता है?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=45) और (n\(A\cup B\)=29), तो वेन आरेख में न (A) न (B) वाले क्षेत्र में कितने अवयव होंगे?

Concept

Why this answer is correct

Exam Tip

वेन आरेख में \(A\cup B\) किस क्षेत्र को दर्शाता है?

Concept

Why this answer is correct

Exam Tip

यदि \(A=\{1,2,3,4,5\}\) और \(B=\{4,5,6,7\}\), तो वेन आरेख में केवल (A) वाला क्षेत्र कौन सा है?

Concept

Why this answer is correct

Exam Tip

वेन आरेख में (A') किस क्षेत्र को दर्शाता है?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=12), (n(B)=9), और (n\(A\cap B\)=4), तो (n\(A\cup B\)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=20), (n(B)=15), और (n\(A\cup B\)=28), तो (n\(A\cap B\)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=30), (n(A)=11), तो (n(A')) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (A) और (B) असंबद्ध समुच्चय हैं, तो \(A\cap B\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(A\subseteq B\), तो वेन आरेख में (A) का वृत्त कहाँ होगा?

Concept

Why this answer is correct

Exam Tip

वेन आरेख में केवल (A) वाला क्षेत्र किससे लिखा जाता है?

Concept

Why this answer is correct

Exam Tip

वेन आरेख में केवल (B) वाला क्षेत्र किससे लिखा जाता है?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=18) और (n\(A\cap B\)=6), तो केवल (A) में कितने अवयव होंगे?

Concept

Why this answer is correct

Exam Tip

यदि (n(B)=14) और (n\(A\cap B\)=5), तो केवल (B) में कितने अवयव होंगे?

Concept

Why this answer is correct

Exam Tip

यदि (n(A-B)=7) और (n\(A\cap B\)=3), तो (n(A)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (n(B-A)=8) और (n\(A\cap B\)=4), तो (n(B)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (n(A-B)=6), (n\(A\cap B\)=5), और (n(B-A)=4), तो (n\(A\cup B\)) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=40) और (n\(A\cup B\)=26), तो (A) या (B) में न होने वालों की संख्या क्या है?

Concept

Why this answer is correct