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Mathematics Quiz - Class 11 Mathematics Medium Level 14 Quiz

Question 1/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

एक वेन आरेख में (n(U)=90), (n(A)=46), (n(B)=38) और (n\(A\cap B\)=16) हैं। (n\(A\cup B\)) कितना होगा?

In a Venn diagram (n(U)=90), (n(A)=46), (n(B)=38), and (n\(A\cap B\)=16). What is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

B. (68)

Step 1

Concept

Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (46+38-16=68). Avoid counting the common part twice.

Step 2

Why this answer is correct

The correct answer is B. (68). Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (46+38-16=68). Avoid counting the common part twice.

Step 3

Exam Tip

सूत्र (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)) से (46+38-16=68) मिलता है। साझा भाग को दो बार गिनने से बचें।

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Question 2/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

एक वेन आरेख में (n(U)=85), (n(A)=42), (n(B)=36) और (n\(A\cap B\)=14) हैं। किसी भी समुच्चय में नहीं आने वाले तत्व कितने हैं?

In a Venn diagram (n(U)=85), (n(A)=42), (n(B)=36), and (n\(A\cap B\)=14). How many elements are in neither set?

Explanation opens after your attempt

Correct Answer

A. (21)

Step 1

Concept

First (n\(A\cup B\)=42+36-14=64), so outside is (85-64=21). The outside region is always found by subtracting the union from (U).

Step 2

Why this answer is correct

The correct answer is A. (21). First (n\(A\cup B\)=42+36-14=64), so outside is (85-64=21). The outside region is always found by subtracting the union from (U).

Step 3

Exam Tip

पहले (n\(A\cup B\)=42+36-14=64), इसलिए बाहर (85-64=21) होगा। बाहर का भाग हमेशा (U) से संघ घटाकर मिलता है।

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Question 3/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A)=52), (n(B)=47) और (n\(A\cup B\)=79) है, तो (n\(A\cap B\)) कितना है?

If (n(A)=52), (n(B)=47), and (n\(A\cup B\)=79), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (20)

Step 1

Concept

(n\(A\cap B\)=52+47-79=20). When the union is given, subtract it from the sum of both sets.

Step 2

Why this answer is correct

The correct answer is B. (20). (n\(A\cap B\)=52+47-79=20). When the union is given, subtract it from the sum of both sets.

Step 3

Exam Tip

(n\(A\cap B\)=52+47-79=20) होगा। संघ दिया हो तो प्रतिच्छेद के लिए दोनों समुच्चयों का योग घटाएं।

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Question 4/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A\cup B\)=74), (n(A-B)=28) और (n(B-A)=19) है, तो (n\(A\cap B\)) कितना होगा?

If (n\(A\cup B\)=74), (n(A-B)=28), and (n(B-A)=19), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

C. (27)

Step 1

Concept

The union has three separate parts, so (n\(A\cap B\)=74-28-19=27). In a Venn diagram, subtracting separate regions is easy.

Step 2

Why this answer is correct

The correct answer is C. (27). The union has three separate parts, so (n\(A\cap B\)=74-28-19=27). In a Venn diagram, subtracting separate regions is easy.

Step 3

Exam Tip

संघ के तीन अलग भाग होते हैं, इसलिए (n\(A\cap B\)=74-28-19=27)। वेन आरेख में अलग क्षेत्रों को सीधे घटाना आसान रहता है।

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Question 5/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

एक सर्वे में (n(U)=120), (n(A)=61), (n(B)=54) और (n\(A\cap B\)=25) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?

In a survey (n(U)=120), (n(A)=61), (n(B)=54), and (n\(A\cap B\)=25). How many are in neither set?

Explanation opens after your attempt

Correct Answer

C. (30)

Step 1

Concept

First (n\(A\cup B\)=61+54-25=90), so outside is (120-90=30). The outside region is the complement of the union.

Step 2

Why this answer is correct

The correct answer is C. (30). First (n\(A\cup B\)=61+54-25=90), so outside is (120-90=30). The outside region is the complement of the union.

Step 3

Exam Tip

पहले (n\(A\cup B\)=61+54-25=90), इसलिए बाहर (120-90=30) है। बाहर का भाग संघ का पूरक होता है।

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Question 6/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

तीन समुच्चयों में (n(A)=38), (n\(A\cap B\)=16), (n\(A\cap C\)=13) और (n\(A\cap B\cap C\)=5) है। केवल (A) में आने वाले तत्व कितने हैं?

In three sets (n(A)=38), (n\(A\cap B\)=16), (n\(A\cap C\)=13), and (n\(A\cap B\cap C\)=5). How many elements are only in (A)?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

Only (A=38-16-13+5=14). The central part is subtracted twice, so add it back once.

Step 2

Why this answer is correct

The correct answer is B. (14). Only (A=38-16-13+5=14). The central part is subtracted twice, so add it back once.

Step 3

Exam Tip

केवल (A=38-16-13+5=14) है। केंद्रीय भाग दो बार घटता है, इसलिए उसे एक बार वापस जोड़ें।

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Question 7/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A)=44) और (n\(A\cap B\)=19) है, तो वेन आरेख में केवल (A) वाले तत्व कितने होंगे?

If (n(A)=44) and (n\(A\cap B\)=19), how many elements are only in (A) in the Venn diagram?

Explanation opens after your attempt

Correct Answer

B. (25)

Step 1

Concept

Only (A) is (44-19=25). Remember to subtract the common part from total (A).

Step 2

Why this answer is correct

The correct answer is B. (25). Only (A) is (44-19=25). Remember to subtract the common part from total (A).

Step 3

Exam Tip

केवल (A) का भाग (44-19=25) है। कुल (A) से साझा भाग घटाना याद रखें।

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Question 8/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(B)=57) और (n\(A\cap B\)=23) है, तो केवल (B) वाला क्षेत्र कितना होगा?

If (n(B)=57) and (n\(A\cap B\)=23), what is the only (B) region?

Explanation opens after your attempt

Correct Answer

A. (34)

Step 1

Concept

For only (B), (57-23=34). In a Venn diagram, writing the middle part first is helpful.

Step 2

Why this answer is correct

The correct answer is A. (34). For only (B), (57-23=34). In a Venn diagram, writing the middle part first is helpful.

Step 3

Exam Tip

केवल (B) के लिए (57-23=34) होगा। वेन आरेख में मध्य भाग पहले लिखना आसान रहता है।

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Question 9/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

दो समुच्चयों के वेन आरेख में (n(A-B)=18), (n\(A\cap B\)=14), (n(B-A)=21) और बाहर (7) तत्व हैं। (n(U)) कितना है?

In a two-set Venn diagram (n(A-B)=18), (n\(A\cap B\)=14), (n(B-A)=21), and (7) elements are outside. What is (n(U))?

Explanation opens after your attempt

Correct Answer

C. (60)

Step 1

Concept

The universal set is the sum of all regions, so (18+14+21+7=60). Do not miss any region.

Step 2

Why this answer is correct

The correct answer is C. (60). The universal set is the sum of all regions, so (18+14+21+7=60). Do not miss any region.

Step 3

Exam Tip

सार्वत्रिक समुच्चय सभी क्षेत्रों का योग है, इसलिए (18+14+21+7=60)। कोई भी क्षेत्र छोड़ना नहीं चाहिए।

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Question 10/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(U)=88), (n(A-B)=24), (n\(A\cap B\)=13) और (n(B-A)=26) है, तो वेन आरेख का बाहरी क्षेत्र कितना है?

If (n(U)=88), (n(A-B)=24), (n\(A\cap B\)=13), and (n(B-A)=26), what is the outside region of the Venn diagram?

Explanation opens after your attempt

Correct Answer

A. (25)

Step 1

Concept

The inside union is (24+13+26=63), so outside is (88-63=25). The outside region is always found by subtracting the inside part from (U).

Step 2

Why this answer is correct

The correct answer is A. (25). The inside union is (24+13+26=63), so outside is (88-63=25). The outside region is always found by subtracting the inside part from (U).

Step 3

Exam Tip

अंदर का संघ (24+13+26=63) है, इसलिए बाहर (88-63=25) है। बाहरी क्षेत्र हमेशा (U) से अंदर का भाग घटाकर मिलता है।

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Question 11/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि \(A\subseteq B\), (n(A)=28) और (n(B)=73) है, तो (n(B-A)) कितना होगा?

If \(A\subseteq B\), (n(A)=28), and (n(B)=73), what is (n(B-A))?

Explanation opens after your attempt

Correct Answer

B. (45)

Step 1

Concept

Since (A) lies completely inside (B), (n(B-A)=73-28=45). In subset cases, the smaller circle lies inside the larger circle.

Step 2

Why this answer is correct

The correct answer is B. (45). Since (A) lies completely inside (B), (n(B-A)=73-28=45). In subset cases, the smaller circle lies inside the larger circle.

Step 3

Exam Tip

क्योंकि (A) पूरा (B) के अंदर है, इसलिए (n(B-A)=73-28=45)। उपसमुच्चय में छोटा वृत्त बड़े वृत्त के अंदर बनता है।

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Question 12/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि \(A\cap B=\varnothing\), (n(A)=33) और (n(B)=41) है, तो (n\(A\cup B\)) क्या होगा?

If \(A\cap B=\varnothing\), (n(A)=33), and (n(B)=41), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

A. (74)

Step 1

Concept

Disjoint sets have common part (0), so (33+41=74). When \(A\cap B=\varnothing\), the subtracted part is zero.

Step 2

Why this answer is correct

The correct answer is A. (74). Disjoint sets have common part (0), so (33+41=74). When \(A\cap B=\varnothing\), the subtracted part is zero.

Step 3

Exam Tip

असंबद्ध समुच्चयों में साझा भाग (0) होता है, इसलिए (33+41=74)। \(A\cap B=\varnothing\) दिखे तो घटाने वाला भाग शून्य है।

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

एक वेन आरेख में (n\(A\cup B\)=86) और (n\(A\cap B\)=31) है। ठीक एक समुच्चय में आने वाले तत्व कितने हैं?

In a Venn diagram (n\(A\cup B\)=86) and (n\(A\cap B\)=31). How many elements are in exactly one set?

Explanation opens after your attempt

Correct Answer

C. (55)

Step 1

Concept

Exactly one set is (86-31=55). The union includes the common part, so remove it.

Step 2

Why this answer is correct

The correct answer is C. (55). Exactly one set is (86-31=55). The union includes the common part, so remove it.

Step 3

Exam Tip

ठीक एक समुच्चय (86-31=55) है। संघ में साझा भाग शामिल होता है, इसलिए उसे हटाएं।

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Question 14/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A-B)=29) और (n(B-A)=17) है, तो (n\(A\triangle B\)) कितना होगा?

If (n(A-B)=29) and (n(B-A)=17), what is (n\(A\triangle B\))?

Explanation opens after your attempt

Correct Answer

B. (46)

Step 1

Concept

The symmetric difference includes only (A) and only (B), so (29+17=46). The common part is not included.

Step 2

Why this answer is correct

The correct answer is B. (46). The symmetric difference includes only (A) and only (B), so (29+17=46). The common part is not included.

Step 3

Exam Tip

सममित अंतर में केवल (A) और केवल (B) वाले भाग आते हैं, इसलिए (29+17=46)। साझा भाग इसमें शामिल नहीं होता।

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Question 15/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(U)=105) और (n\(A\cap B\)=37) है, तो (n(\(A\cap B\)^c)) कितना होगा?

If (n(U)=105) and (n\(A\cap B\)=37), what is (n(\(A\cap B\)^c))?

Explanation opens after your attempt

Correct Answer

A. (68)

Step 1

Concept

The complement is found by subtracting from (U), so (105-37=68). Here the complement of only the common part is asked.

Step 2

Why this answer is correct

The correct answer is A. (68). The complement is found by subtracting from (U), so (105-37=68). Here the complement of only the common part is asked.

Step 3

Exam Tip

पूरक (U) से घटाकर मिलता है, इसलिए (105-37=68)। यहां केवल साझा भाग का पूरक पूछा गया है।

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Question 16/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

\(U=\{1,2,3,4,5,6,7,8,9,10,11\}\), \(A=\{1,3,5,7,9\}\) और \(B=\{2,3,5,8,11\}\) हैं। \(A\cup B\) क्या है?

\(U=\{1,2,3,4,5,6,7,8,9,10,11\}\), \(A=\{1,3,5,7,9\}\), and \(B=\{2,3,5,8,11\}\). What is \(A\cup B\)?

Explanation opens after your attempt

Correct Answer

B. ({1,2,3,5,7,8,9,11})

Step 1

Concept

The union contains all distinct elements of both sets. Write repeated elements only once.

Step 2

Why this answer is correct

The correct answer is B. ({1,2,3,5,7,8,9,11}). The union contains all distinct elements of both sets. Write repeated elements only once.

Step 3

Exam Tip

संघ में दोनों समुच्चयों के सभी अलग-अलग तत्व लिखे जाते हैं। दोहराए गए तत्वों को केवल एक बार लिखें।

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Question 17/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

\(A=\{a,b,d,f,h\}\) और \(B=\{b,c,d,g,h\}\) हैं। \(A\cap B\) क्या है?

\(A=\{a,b,d,f,h\}\) and \(B=\{b,c,d,g,h\}\). What is \(A\cap B\)?

Explanation opens after your attempt

Correct Answer

C. ({b,d,h})

Step 1

Concept

The common elements in both sets are (b,d,h). Intersection contains only common elements.

Step 2

Why this answer is correct

The correct answer is C. ({b,d,h}). The common elements in both sets are (b,d,h). Intersection contains only common elements.

Step 3

Exam Tip

दोनों समुच्चयों में समान तत्व (b,d,h) हैं। प्रतिच्छेद में केवल सामान्य तत्व आते हैं।

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Question 18/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

\(A=\{2,4,6,8,10,12\}\) और \(B=\{6,8,12,14\}\) हैं। (A-B) क्या है?

\(A=\{2,4,6,8,10,12\}\) and \(B=\{6,8,12,14\}\). What is (A-B)?

Explanation opens after your attempt

Correct Answer

A. ({2,4,10})

Step 1

Concept

(A-B) keeps elements of (A) that are not in (B). (6,8,12) are common, so they are removed.

Step 2

Why this answer is correct

The correct answer is A. ({2,4,10}). (A-B) keeps elements of (A) that are not in (B). (6,8,12) are common, so they are removed.

Step 3

Exam Tip

(A-B) में (A) के वे तत्व रहते हैं जो (B) में नहीं हैं। (6,8,12) साझा हैं, इसलिए हट जाते हैं।

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Question 19/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

\(U=\{p,q,r,s,t,u,v\}\) और \(A=\{p,r,t,v\}\) है। \(A^c\) क्या होगा?

\(U=\{p,q,r,s,t,u,v\}\) and \(A=\{p,r,t,v\}\). What is \(A^c\)?

Explanation opens after your attempt

Correct Answer

B. ({q,s,u})

Step 1

Concept

\(A^c\) contains elements of (U) that are not in (A). Hence the answer is ({q,s,u}).

Step 2

Why this answer is correct

The correct answer is B. ({q,s,u}). \(A^c\) contains elements of (U) that are not in (A). Hence the answer is ({q,s,u}).

Step 3

Exam Tip

\(A^c\) में (U) के वे तत्व आते हैं जो (A) में नहीं हैं। इसलिए उत्तर ({q,s,u}) है।

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Question 20/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

तीन समुच्चयों में (n(A)=35), (n(B)=32), (n(C)=29), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9) और (n\(A\cap B\cap C\)=4) है। (n\(A\cup B\cup C\)) कितना है?

For three sets, (n(A)=35), (n(B)=32), (n(C)=29), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9), and (n\(A\cap B\cap C\)=4). What is (n\(A\cup B\cup C\))?

Explanation opens after your attempt

Correct Answer

A. (69)

Step 1

Concept

The union of three sets is (35+32+29-12-10-9+4=69). Adding back the final common part is necessary.

Step 2

Why this answer is correct

The correct answer is A. (69). The union of three sets is (35+32+29-12-10-9+4=69). Adding back the final common part is necessary.

Step 3

Exam Tip

तीन समुच्चयों का संघ (35+32+29-12-10-9+4=69) है। अंतिम साझा भाग को वापस जोड़ना जरूरी है।

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Question 21/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

तीन समुच्चयों में (n\(A\cap B\)=18), (n\(B\cap C\)=16), (n\(C\cap A\)=14) और (n\(A\cap B\cap C\)=6) है। ठीक दो समुच्चयों में आने वाले तत्व कितने हैं?

In three sets (n\(A\cap B\)=18), (n\(B\cap C\)=16), (n\(C\cap A\)=14), and (n\(A\cap B\cap C\)=6). How many elements are in exactly two sets?

Explanation opens after your attempt

Correct Answer

A. (30)

Step 1

Concept

Exactly two (=(18-6)+(16-6)+(14-6)=30). Subtract the common part of all three from each pair.

Step 2

Why this answer is correct

The correct answer is A. (30). Exactly two (=(18-6)+(16-6)+(14-6)=30). Subtract the common part of all three from each pair.

Step 3

Exam Tip

ठीक दो (=(18-6)+(16-6)+(14-6)=30) है। हर जोड़ी से तीनों का साझा भाग घटाएं।

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Question 22/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A)=50), (n\(A\cap B\)=21), (n\(A\cap C\)=19) और (n\(A\cap B\cap C\)=8) है, तो केवल (A) कितने हैं?

If (n(A)=50), (n\(A\cap B\)=21), (n\(A\cap C\)=19), and (n\(A\cap B\cap C\)=8), how many are only in (A)?

Explanation opens after your attempt

Correct Answer

B. (18)

Step 1

Concept

Only (A=50-21-19+8=18). The central part is subtracted twice, so it is added once.

Step 2

Why this answer is correct

The correct answer is B. (18). Only (A=50-21-19+8=18). The central part is subtracted twice, so it is added once.

Step 3

Exam Tip

केवल (A=50-21-19+8=18) है। केंद्रीय भाग दो बार घटता है, इसलिए एक बार जोड़ा जाता है।

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Question 23/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A\cap B\)=24) और (n\(A\cap B\cap C\)=9) है, तो केवल (A) और (B) में लेकिन (C) में नहीं कितने हैं?

If (n\(A\cap B\)=24) and (n\(A\cap B\cap C\)=9), how many are only in (A) and (B) but not in (C)?

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

For only (A) and (B), (24-9=15). A pairwise intersection includes the common part of all three.

Step 2

Why this answer is correct

The correct answer is C. (15). For only (A) and (B), (24-9=15). A pairwise intersection includes the common part of all three.

Step 3

Exam Tip

केवल (A) और (B) के लिए (24-9=15) होगा। जोड़ी वाले प्रतिच्छेद में तीनों का साझा भाग शामिल रहता है।

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Question 24/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(U)=110) और (n\(A\cup B\cup C\)=92) है, तो किसी भी समुच्चय में नहीं आने वाले तत्व कितने हैं?

If (n(U)=110) and (n\(A\cup B\cup C\)=92), how many elements are in none of the sets?

Explanation opens after your attempt

Correct Answer

B. (18)

Step 1

Concept

None is (110-92=18). The outside region is found by subtracting the union from (U).

Step 2

Why this answer is correct

The correct answer is B. (18). None is (110-92=18). The outside region is found by subtracting the union from (U).

Step 3

Exam Tip

किसी में नहीं (110-92=18) है। बाहर का क्षेत्र (U) से संघ घटाकर मिलता है।

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Question 25/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

वेन आरेख में \(B\cap A^c\) किसके बराबर है?

In a Venn diagram, what is \(B\cap A^c\) equal to?

Explanation opens after your attempt

Correct Answer

B. (B-A)

Step 1

Concept

\(B\cap A^c\) means in (B) and outside (A). Hence it is equal to (B-A).

Step 2

Why this answer is correct

The correct answer is B. (B-A). \(B\cap A^c\) means in (B) and outside (A). Hence it is equal to (B-A).

Step 3

Exam Tip

\(B\cap A^c\) का अर्थ (B) में और (A) के बाहर है। इसलिए यह (B-A) के बराबर है।

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Question 26/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

\(A\triangle B\) वेन आरेख में कौन सा भाग दिखाता है?

Which part does \(A\triangle B\) show in a Venn diagram?

Explanation opens after your attempt

Correct Answer

C. (A-B) और (B-A) का संयुक्त भागCombined part of (A-B) and (B-A)

Step 1

Concept

\(A\triangle B\) contains elements that are in exactly one set. Therefore the common part is not included.

Step 2

Why this answer is correct

The correct answer is C. (A-B) और (B-A) का संयुक्त भाग / Combined part of (A-B) and (B-A). \(A\triangle B\) contains elements that are in exactly one set. Therefore the common part is not included.

Step 3

Exam Tip

\(A\triangle B\) में वे तत्व आते हैं जो ठीक एक समुच्चय में हों। इसलिए साझा भाग शामिल नहीं होता।

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Question 27/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A\triangle B\)=64) और (n(A-B)=27) है, तो (n(B-A)) कितना होगा?

If (n\(A\triangle B\)=64) and (n(A-B)=27), what is (n(B-A))?

Explanation opens after your attempt

Correct Answer

A. (37)

Step 1

Concept

The symmetric difference is the sum of (A-B) and (B-A), so (64-27=37). The common part is not included.

Step 2

Why this answer is correct

The correct answer is A. (37). The symmetric difference is the sum of (A-B) and (B-A), so (64-27=37). The common part is not included.

Step 3

Exam Tip

सममित अंतर (A-B) और (B-A) का योग है, इसलिए (64-27=37)। साझा भाग इसमें नहीं आता।

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Question 28/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A)=39), (n(B)=44) और ठीक एक समुच्चय में (51) तत्व हैं, तो (n\(A\cap B\)) कितना होगा?

If (n(A)=39), (n(B)=44), and (51) elements are in exactly one set, what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (16)

Step 1

Concept

Exactly one is (n(A)+n(B)-2n\(A\cap B\)). So (51=83-2x), giving (x=16).

Step 2

Why this answer is correct

The correct answer is B. (16). Exactly one is (n(A)+n(B)-2n\(A\cap B\)). So (51=83-2x), giving (x=16).

Step 3

Exam Tip

ठीक एक (n(A)+n(B)-2n\(A\cap B\)) होता है। इसलिए (51=83-2x), तो (x=16)।

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Question 29/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

एक कक्षा में (58) विद्यार्थी संगीत, (49) चित्रकला और (22) दोनों सीखते हैं। कम से कम एक कला सीखने वाले कितने हैं?

In a class, (58) students learn music, (49) learn painting, and (22) learn both. How many learn at least one art?

Explanation opens after your attempt

Correct Answer

A. (85)

Step 1

Concept

At least one means \(A\cup B\), so (58+49-22=85). Count those who learn both only once.

Step 2

Why this answer is correct

The correct answer is A. (85). At least one means \(A\cup B\), so (58+49-22=85). Count those who learn both only once.

Step 3

Exam Tip

कम से कम एक का अर्थ \(A\cup B\) है, इसलिए (58+49-22=85)। दोनों सीखने वालों को एक बार ही गिनें।

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Question 30/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

(72) विद्यार्थियों में (34) गणित, (31) भौतिकी और (13) दोनों विषय पसंद करते हैं। कोई भी विषय पसंद न करने वाले कितने हैं?

Among (72) students, (34) like Mathematics, (31) like Physics, and (13) like both subjects. How many like neither subject?

Explanation opens after your attempt

Correct Answer

B. (20)

Step 1

Concept

At least one is (34+31-13=52), so neither is (72-52=20). Finding the union first is the easy method.

Step 2

Why this answer is correct

The correct answer is B. (20). At least one is (34+31-13=52), so neither is (72-52=20). Finding the union first is the easy method.

Step 3

Exam Tip

कम से कम एक (34+31-13=52) है, इसलिए कोई नहीं (72-52=20)। पहले संघ निकालना आसान तरीका है।

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Question 31/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

एक समूह में (45) लोग चाय, (36) कॉफी और (15) दोनों पसंद करते हैं। केवल चाय पसंद करने वाले कितने हैं?

In a group, (45) people like tea, (36) like coffee, and (15) like both. How many like only tea?

Explanation opens after your attempt

Correct Answer

B. (30)

Step 1

Concept

Only tea is (45-15=30). Subtract those who like both from total tea.

Step 2

Why this answer is correct

The correct answer is B. (30). Only tea is (45-15=30). Subtract those who like both from total tea.

Step 3

Exam Tip

केवल चाय (45-15=30) है। कुल चाय से दोनों पसंद करने वालों को घटाएं।

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Question 32/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A\cup B\)=97), (n(A)=63) और (n(B-A)=34) है, तो (n\(A\cap B\)) के बारे में कौन सा निष्कर्ष सही है?

If (n\(A\cup B\)=97), (n(A)=63), and (n(B-A)=34), which conclusion about (n\(A\cap B\)) is correct?

Explanation opens after your attempt

Correct Answer

A. (n\(A\cap B\)=0)

Step 1

Concept

Since (n\(A\cup B\)=n(A)+n(B-A)=63+34=97), the intersection is not found from this data. This is a trap question, and the correct conclusion should be that (n\(A\cap B\)) cannot be determined.

Step 2

Why this answer is correct

The correct answer is A. (n\(A\cap B\)=0). Since (n\(A\cup B\)=n(A)+n(B-A)=63+34=97), the intersection is not found from this data. This is a trap question, and the correct conclusion should be that (n\(A\cap B\)) cannot be determined.

Step 3

Exam Tip

क्योंकि (n\(A\cup B\)=n(A)+n(B-A)=63+34=97), अतिरिक्त जानकारी से प्रतिच्छेद (0) नहीं निकलता बल्कि निर्धारित नहीं होता। दिए गए विकल्पों में यह प्रश्न जाल है और सही निष्कर्ष यह है कि (n\(A\cap B\)) निर्धारित नहीं किया जा सकता।

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Question 33/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि \(A\subseteq B\), तो वेन आरेख में \(A\cup B\) किसके बराबर होगा?

If \(A\subseteq B\), what is \(A\cup B\) equal to in a Venn diagram?

Explanation opens after your attempt

Correct Answer

B. (B)

Step 1

Concept

When (A) is completely inside (B), the union is (B). Recognizing a subset helps answer quickly.

Step 2

Why this answer is correct

The correct answer is B. (B). When (A) is completely inside (B), the union is (B). Recognizing a subset helps answer quickly.

Step 3

Exam Tip

जब (A) पूरा (B) में होता है, तब संघ (B) ही होता है। उपसमुच्चय पहचानने से उत्तर जल्दी मिलता है।

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Question 34/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (A) और (B) असंबद्ध हैं, तो कौन सा कथन सही है?

If (A) and (B) are disjoint, which statement is correct?

Explanation opens after your attempt

Correct Answer

A. \(A\cap B=\varnothing\)

Step 1

Concept

Disjoint sets have no common element. Therefore \(A\cap B=\varnothing\).

Step 2

Why this answer is correct

The correct answer is A. \(A\cap B=\varnothing\). Disjoint sets have no common element. Therefore \(A\cap B=\varnothing\).

Step 3

Exam Tip

असंबद्ध समुच्चयों में कोई साझा तत्व नहीं होता। इसलिए \(A\cap B=\varnothing\) होता है।

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Question 35/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A)=36), (n(B)=42) और \(A\cap B=\varnothing\) है, तो ठीक एक समुच्चय में कितने तत्व होंगे?

If (n(A)=36), (n(B)=42), and \(A\cap B=\varnothing\), how many elements are in exactly one set?

Explanation opens after your attempt

Correct Answer

D. (78)

Step 1

Concept

When sets are disjoint, every element belongs to exactly one set, so (36+42=78). The common part is zero.

Step 2

Why this answer is correct

The correct answer is D. (78). When sets are disjoint, every element belongs to exactly one set, so (36+42=78). The common part is zero.

Step 3

Exam Tip

असंबद्ध होने पर हर तत्व ठीक एक समुच्चय में आता है, इसलिए (36+42=78)। साझा भाग शून्य है।

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Question 36/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

(n(A-B)=32) और (n\(A\cap B\)=18) है। (n(A)) कितना होगा?

(n(A-B)=32) and (n\(A\cap B\)=18). What is (n(A))?

Explanation opens after your attempt

Correct Answer

B. (50)

Step 1

Concept

Whole (A) is made of (A-B) and \(A\cap B\). Hence (n(A)=32+18=50).

Step 2

Why this answer is correct

The correct answer is B. (50). Whole (A) is made of (A-B) and \(A\cap B\). Hence (n(A)=32+18=50).

Step 3

Exam Tip

पूरा (A), (A-B) और \(A\cap B\) से बनता है। इसलिए (n(A)=32+18=50)।

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Question 37/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A\cup B\)=70), (n(A-B)=26) और (n(B-A)=19) है, तो (n\(A\cap B\)) कितना है?

If (n\(A\cup B\)=70), (n(A-B)=26), and (n(B-A)=19), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

A. (25)

Step 1

Concept

The union has three separate parts, so (70-26-19=25). In Venn diagrams, adding or subtracting separate regions is easy.

Step 2

Why this answer is correct

The correct answer is A. (25). The union has three separate parts, so (70-26-19=25). In Venn diagrams, adding or subtracting separate regions is easy.

Step 3

Exam Tip

संघ के तीन अलग भाग हैं, इसलिए (70-26-19=25)। वेन आरेख में अलग क्षेत्रों को जोड़ना या घटाना आसान रहता है।

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Question 38/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

(n\(A\cup B\)=92), (n(A-B)=35) और (n\(A\cap B\)=24) है। (n(B-A)) कितना होगा?

(n\(A\cup B\)=92), (n(A-B)=35), and (n\(A\cap B\)=24). What is (n(B-A))?

Explanation opens after your attempt

Correct Answer

A. (33)

Step 1

Concept

(B-A=92-35-24=33). The union contains three separate inside regions.

Step 2

Why this answer is correct

The correct answer is A. (33). (B-A=92-35-24=33). The union contains three separate inside regions.

Step 3

Exam Tip

(B-A=92-35-24=33) है। संघ में तीन अलग-अलग अंदरूनी क्षेत्र होते हैं।

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Question 39/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

(n(U)=100), (n(A)=48), (n(B)=46) और (n(\(A\cup B\)^c)=18) है। (n\(A\cap B\)) कितना होगा?

(n(U)=100), (n(A)=48), (n(B)=46), and (n(\(A\cup B\)^c)=18). What is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

First (n\(A\cup B\)=100-18=82). Then (n\(A\cap B\)=48+46-82=12).

Step 2

Why this answer is correct

The correct answer is B. (12). First (n\(A\cup B\)=100-18=82). Then (n\(A\cap B\)=48+46-82=12).

Step 3

Exam Tip

पहले (n\(A\cup B\)=100-18=82)। फिर (n\(A\cap B\)=48+46-82=12)।

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Question 40/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

तीन समुच्चयों में (n\(A\cap B\cap C\)=11) है। यह वेन आरेख के किस भाग को दिखाता है?

In three sets (n\(A\cap B\cap C\)=11). Which part of the Venn diagram does this show?

Explanation opens after your attempt

Correct Answer

C. तीनों वृत्तों का साझा केंद्रीय भागCommon central part of all three circles

Step 1

Concept

\(A\cap B\cap C\) means elements that are in all three sets. In three circles, it is the central common part.

Step 2

Why this answer is correct

The correct answer is C. तीनों वृत्तों का साझा केंद्रीय भाग / Common central part of all three circles. \(A\cap B\cap C\) means elements that are in all three sets. In three circles, it is the central common part.

Step 3

Exam Tip

\(A\cap B\cap C\) वे तत्व हैं जो तीनों समुच्चयों में हों। तीन वृत्तों में यह केंद्रीय साझा भाग होता है।

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Question 41/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि केवल (A=14), केवल (B=18), केवल (C=16), केवल \(A\cap B=7\), केवल \(B\cap C=6\), केवल \(C\cap A=5\) और \(A\cap B\cap C=4\) हैं, तो (n\(A\cup B\cup C\)) कितना है?

If only (A=14), only (B=18), only (C=16), only \(A\cap B=7\), only \(B\cap C=6\), only \(C\cap A=5\), and \(A\cap B\cap C=4\), what is (n\(A\cup B\cup C\))?

Explanation opens after your attempt

Correct Answer

C. (70)

Step 1

Concept

The union is the sum of all seven inside regions, (14+18+16+7+6+5+4=70). Add each region only once.

Step 2

Why this answer is correct

The correct answer is C. (70). The union is the sum of all seven inside regions, (14+18+16+7+6+5+4=70). Add each region only once.

Step 3

Exam Tip

संघ सातों अंदरूनी क्षेत्रों का योग है, (14+18+16+7+6+5+4=70)। हर क्षेत्र को केवल एक बार जोड़ें।

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Question 42/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

तीन समुच्चयों में केवल (A=20), केवल \(A\cap B=8\), केवल \(C\cap A=6\) और \(A\cap B\cap C=5\) हैं। (n(A)) कितना होगा?

In three sets, only (A=20), only \(A\cap B=8\), only \(C\cap A=6\), and \(A\cap B\cap C=5\). What is (n(A))?

Explanation opens after your attempt

Correct Answer

C. (39)

Step 1

Concept

Add all regions inside (A), (20+8+6+5=39). The total of a set is the sum of all its inside regions.

Step 2

Why this answer is correct

The correct answer is C. (39). Add all regions inside (A), (20+8+6+5=39). The total of a set is the sum of all its inside regions.

Step 3

Exam Tip

(A) के अंदर आने वाले सभी क्षेत्र जोड़ें, (20+8+6+5=39)। किसी समुच्चय की कुल संख्या उसके सभी अंदरूनी भागों का योग है।

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Question 43/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

तीन समुच्चयों के वेन आरेख में केवल (B=17), केवल \(A\cap B=9\), केवल \(B\cap C=11\) और \(A\cap B\cap C=6\) हैं। (n(B)) कितना होगा?

In a three-set Venn diagram, only (B=17), only \(A\cap B=9\), only \(B\cap C=11\), and \(A\cap B\cap C=6\). What is (n(B))?

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

Adding all parts of (B) gives (17+9+11+6=43). Total (B) includes all regions inside (B).

Step 2

Why this answer is correct

The correct answer is C. (43). Adding all parts of (B) gives (17+9+11+6=43). Total (B) includes all regions inside (B).

Step 3

Exam Tip

(B) के सभी भाग जोड़ने पर (17+9+11+6=43) मिलता है। कुल (B) में (B) के अंदर के सभी क्षेत्र शामिल होते हैं।

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Question 44/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

(n(U)=140), (n(A)=60), (n(B)=55), (n(C)=50), (n\(A\cap B\)=24), (n\(B\cap C\)=21), (n\(C\cap A\)=19) और (n\(A\cap B\cap C\)=8) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?

(n(U)=140), (n(A)=60), (n(B)=55), (n(C)=50), (n\(A\cap B\)=24), (n\(B\cap C\)=21), (n\(C\cap A\)=19), and (n\(A\cap B\cap C\)=8). How many are in none of the sets?

Explanation opens after your attempt

Correct Answer

A. (31)

Step 1

Concept

The union is (60+55+50-24-21-19+8=109), so outside is (140-109=31). Apply inclusion-exclusion carefully for three sets.

Step 2

Why this answer is correct

The correct answer is A. (31). The union is (60+55+50-24-21-19+8=109), so outside is (140-109=31). Apply inclusion-exclusion carefully for three sets.

Step 3

Exam Tip

संघ (60+55+50-24-21-19+8=109) है, इसलिए बाहर (140-109=31)। तीन समुच्चयों में समावेशन-बहिष्करण ध्यान से लगाएं।

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Question 45/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n(A)=40), (n(B)=36), (n(C)=34), (n\(A\cup B\cup C\)=82), (n\(A\cap B\)=12), (n\(B\cap C\)=10) और (n\(C\cap A\)=9) है, तो (n\(A\cap B\cap C\)) कितना है?

If (n(A)=40), (n(B)=36), (n(C)=34), (n\(A\cup B\cup C\)=82), (n\(A\cap B\)=12), (n\(B\cap C\)=10), and (n\(C\cap A\)=9), what is (n\(A\cap B\cap C\))?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

In the formula (82=40+36+34-12-10-9+x), so (x=3). Find the unknown central part by forming an equation.

Step 2

Why this answer is correct

The correct answer is A. (3). In the formula (82=40+36+34-12-10-9+x), so (x=3). Find the unknown central part by forming an equation.

Step 3

Exam Tip

सूत्र में (82=40+36+34-12-10-9+x) होगा, इसलिए (x=3)। अज्ञात केंद्रीय भाग को समीकरण से निकालें।

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Question 46/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A^c\)=48) और (n(U)=95) है, तो (n(A)) कितना होगा?

If (n\(A^c\)=48) and (n(U)=95), what is (n(A))?

Explanation opens after your attempt

Correct Answer

A. (47)

Step 1

Concept

(A) and \(A^c\) together form (U), so (n(A)=95-48=47). In complement questions, always check the universal set.

Step 2

Why this answer is correct

The correct answer is A. (47). (A) and \(A^c\) together form (U), so (n(A)=95-48=47). In complement questions, always check the universal set.

Step 3

Exam Tip

(A) और \(A^c\) मिलकर (U) बनाते हैं, इसलिए (n(A)=95-48=47)। पूरक के प्रश्न में सार्वत्रिक समुच्चय जरूर देखें।

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Question 47/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

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

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

Explanation opens after your attempt

Correct Answer

A. (A)

Step 1

Concept

(A-B) and \(A\cap B\) together form the whole of (A). This is a good example of region partitioning.

Step 2

Why this answer is correct

The correct answer is A. (A). (A-B) and \(A\cap B\) together form the whole of (A). This is a good example of region partitioning.

Step 3

Exam Tip

(A-B) और \(A\cap B\) मिलकर पूरा (A) बनाते हैं। यह क्षेत्रीय विभाजन का अच्छा उदाहरण है।

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Question 48/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

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

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

Explanation opens after your attempt

Correct Answer

B. (B-A)

Step 1

Concept

Removing (A) from the union leaves the part of (B) that is not in (A). Hence the answer is (B-A).

Step 2

Why this answer is correct

The correct answer is B. (B-A). Removing (A) from the union leaves the part of (B) that is not in (A). Hence the answer is (B-A).

Step 3

Exam Tip

संघ से (A) हटाने पर केवल (B) का वह भाग बचता है जो (A) में नहीं है। इसलिए उत्तर (B-A) है।

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Question 49/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

यदि (n\(A\cup B\)=58) और (n(A-B)=22), (n(B-A)=20) है, तो कौन सा कथन सही है?

If (n\(A\cup B\)=58), (n(A-B)=22), and (n(B-A)=20), which statement is correct?

Explanation opens after your attempt

Correct Answer

A. (n\(A\cap B\)=16)

Step 1

Concept

The common part is (58-22-20=16). Identifying separate regions of the union saves time in exams.

Step 2

Why this answer is correct

The correct answer is A. (n\(A\cap B\)=16). The common part is (58-22-20=16). Identifying separate regions of the union saves time in exams.

Step 3

Exam Tip

साझा भाग (58-22-20=16) है। संघ के अलग-अलग क्षेत्रों को पहचानना परीक्षा में समय बचाता है।

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Question 50/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 14

एक वेन आरेख में (n\(A\cap B\)=0) है और (n\(A\cup B\)=76) है। यदि (n(A)=31), तो (n(B)) कितना होगा?

In a Venn diagram (n\(A\cap B\)=0) and (n\(A\cup B\)=76). If (n(A)=31), what is (n(B))?

Explanation opens after your attempt

Correct Answer

B. (45)

Step 1

Concept

The intersection is zero, so (n\(A\cup B\)=n(A)+n(B)). Hence (n(B)=76-31=45).

Step 2

Why this answer is correct

The correct answer is B. (45). The intersection is zero, so (n\(A\cup B\)=n(A)+n(B)). Hence (n(B)=76-31=45).

Step 3

Exam Tip

प्रतिच्छेद शून्य है, इसलिए (n\(A\cup B\)=n(A)+n(B))। अतः (n(B)=76-31=45)।

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Class 11 Mathematics Medium Quiz

एक वेन आरेख में (n(U)=90), (n(A)=46), (n(B)=38) और (n\(A\cap B\)=16) हैं। (n\(A\cup B\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

एक वेन आरेख में (n(U)=85), (n(A)=42), (n(B)=36) और (n\(A\cap B\)=14) हैं। किसी भी समुच्चय में नहीं आने वाले तत्व कितने हैं?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=52), (n(B)=47) और (n\(A\cup B\)=79) है, तो (n\(A\cap B\)) कितना है?

Concept

Why this answer is correct

Exam Tip

यदि (n\(A\cup B\)=74), (n(A-B)=28) और (n(B-A)=19) है, तो (n\(A\cap B\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

एक सर्वे में (n(U)=120), (n(A)=61), (n(B)=54) और (n\(A\cap B\)=25) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?

Concept

Why this answer is correct

Exam Tip

तीन समुच्चयों में (n(A)=38), (n\(A\cap B\)=16), (n\(A\cap C\)=13) और (n\(A\cap B\cap C\)=5) है। केवल (A) में आने वाले तत्व कितने हैं?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=44) और (n\(A\cap B\)=19) है, तो वेन आरेख में केवल (A) वाले तत्व कितने होंगे?

Concept

Why this answer is correct

Exam Tip

यदि (n(B)=57) और (n\(A\cap B\)=23) है, तो केवल (B) वाला क्षेत्र कितना होगा?

Concept

Why this answer is correct

Exam Tip

दो समुच्चयों के वेन आरेख में (n(A-B)=18), (n\(A\cap B\)=14), (n(B-A)=21) और बाहर (7) तत्व हैं। (n(U)) कितना है?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=88), (n(A-B)=24), (n\(A\cap B\)=13) और (n(B-A)=26) है, तो वेन आरेख का बाहरी क्षेत्र कितना है?

Concept

Why this answer is correct

Exam Tip

यदि \(A\subseteq B\), (n(A)=28) और (n(B)=73) है, तो (n(B-A)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(A\cap B=\varnothing\), (n(A)=33) और (n(B)=41) है, तो (n\(A\cup B\)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक वेन आरेख में (n\(A\cup B\)=86) और (n\(A\cap B\)=31) है। ठीक एक समुच्चय में आने वाले तत्व कितने हैं?

Concept

Why this answer is correct

Exam Tip

यदि (n(A-B)=29) और (n(B-A)=17) है, तो (n\(A\triangle B\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=105) और (n\(A\cap B\)=37) है, तो (n(\(A\cap B\)^c)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

\(U=\{1,2,3,4,5,6,7,8,9,10,11\}\), \(A=\{1,3,5,7,9\}\) और \(B=\{2,3,5,8,11\}\) हैं। \(A\cup B\) क्या है?

Concept

Why this answer is correct

Exam Tip

\(A=\{a,b,d,f,h\}\) और \(B=\{b,c,d,g,h\}\) हैं। \(A\cap B\) क्या है?

Concept

Why this answer is correct

Exam Tip

\(A=\{2,4,6,8,10,12\}\) और \(B=\{6,8,12,14\}\) हैं। (A-B) क्या है?

Concept

Why this answer is correct

Exam Tip

\(U=\{p,q,r,s,t,u,v\}\) और \(A=\{p,r,t,v\}\) है। \(A^c\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

तीन समुच्चयों में (n(A)=35), (n(B)=32), (n(C)=29), (n\(A\cap B\)=12), (n\(B\cap C\)=10), (n\(C\cap A\)=9) और (n\(A\cap B\cap C\)=4) है। (n\(A\cup B\cup C\)) कितना है?

Concept

Why this answer is correct