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Mathematics Quiz - Class 11 Mathematics Medium Level 15 Quiz

Question 1/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक वेन आरेख में (n(U)=110), (n(A)=57), (n(B)=49) और (n\(A\cap B\)=21) हैं। (n\(A\cup B\)) कितना होगा?

In a Venn diagram (n(U)=110), (n(A)=57), (n(B)=49), and (n\(A\cap B\)=21). What is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

B. (85)

Step 1

Concept

Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (57+49-21=85). Do not count the common part twice.

Step 2

Why this answer is correct

The correct answer is B. (85). Using (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)), we get (57+49-21=85). Do not count the common part twice.

Step 3

Exam Tip

सूत्र (n\(A\cup B\)=n(A)+n(B)-n\(A\cap B\)) से (57+49-21=85) मिलता है। साझा भाग को दो बार न गिनें।

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Question 2/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक सर्वे में (n(U)=150), (n(A)=70), (n(B)=62) और (n(\(A\cup B\)^c)=32) है। (n\(A\cap B\)) कितना होगा?

In a survey (n(U)=150), (n(A)=70), (n(B)=62), and (n(\(A\cup B\)^c)=32). What is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

First (n\(A\cup B\)=150-32=118), then (n\(A\cap B\)=70+62-118=14). If the outside part is given, find the union first.

Step 2

Why this answer is correct

The correct answer is B. (14). First (n\(A\cup B\)=150-32=118), then (n\(A\cap B\)=70+62-118=14). If the outside part is given, find the union first.

Step 3

Exam Tip

पहले (n\(A\cup B\)=150-32=118), फिर (n\(A\cap B\)=70+62-118=14)। बाहर का भाग दिया हो तो पहले संघ निकालें।

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Question 3/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=68), (n(B)=53) और (n\(A\cup B\)=91) है, तो (n\(A\cap B\)) कितना होगा?

If (n(A)=68), (n(B)=53), and (n\(A\cup B\)=91), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

C. (30)

Step 1

Concept

(n\(A\cap B\)=68+53-91=30). When the union is given, subtract it from the sum to get the intersection.

Step 2

Why this answer is correct

The correct answer is C. (30). (n\(A\cap B\)=68+53-91=30). When the union is given, subtract it from the sum to get the intersection.

Step 3

Exam Tip

(n\(A\cap B\)=68+53-91=30) होगा। संघ दिया हो तो प्रतिच्छेद निकालने के लिए योग में से संघ घटाएं।

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Question 4/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक वेन आरेख में केवल (A) में (24), केवल (B) में (31) और दोनों में (16) तत्व हैं। (n\(A\cup B\)) कितना है?

In a Venn diagram, (24) elements are only in (A), (31) are only in (B), and (16) are in both. What is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

C. (71)

Step 1

Concept

The union is the sum of three separate parts, so (24+31+16=71). In a Venn diagram, add each separate region only once.

Step 2

Why this answer is correct

The correct answer is C. (71). The union is the sum of three separate parts, so (24+31+16=71). In a Venn diagram, add each separate region only once.

Step 3

Exam Tip

संघ तीन अलग भागों का योग है, इसलिए (24+31+16=71)। वेन आरेख में अलग क्षेत्रों को केवल एक बार जोड़ें।

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Question 5/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक सर्वे में (n(U)=140), (n(A)=72), (n(B)=64) और (n\(A\cap B\)=28) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?

In a survey (n(U)=140), (n(A)=72), (n(B)=64), and (n\(A\cap B\)=28). How many are in neither set?

Explanation opens after your attempt

Correct Answer

A. (32)

Step 1

Concept

First (n\(A\cup B\)=72+64-28=108), so outside is (140-108=32). The outside region is the complement of the union.

Step 2

Why this answer is correct

The correct answer is A. (32). First (n\(A\cup B\)=72+64-28=108), so outside is (140-108=32). The outside region is the complement of the union.

Step 3

Exam Tip

पहले (n\(A\cup B\)=72+64-28=108), इसलिए बाहर (140-108=32) है। बाहर का भाग संघ का पूरक होता है।

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Question 6/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n\(A\cup B\)=96), (n(A)=58) और (n(A-B)=29) है, तो (n(B-A)) कितना होगा?

If (n\(A\cup B\)=96), (n(A)=58), and (n(A-B)=29), what is (n(B-A))?

Explanation opens after your attempt

Correct Answer

A. (38)

Step 1

Concept

First (n\(A\cap B\)=58-29=29), then (n(B-A)=96-29-29=38). Subtract only (A) from total (A) to get the common part.

Step 2

Why this answer is correct

The correct answer is A. (38). First (n\(A\cap B\)=58-29=29), then (n(B-A)=96-29-29=38). Subtract only (A) from total (A) to get the common part.

Step 3

Exam Tip

पहले (n\(A\cap B\)=58-29=29), फिर (n(B-A)=96-29-29=38)। कुल (A) से केवल (A) घटाकर साझा भाग निकालें।

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Question 7/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=59) और (n\(A\cap B\)=24) है, तो वेन आरेख में केवल (A) वाले तत्व कितने होंगे?

If (n(A)=59) and (n\(A\cap B\)=24), how many elements are only in (A) in the Venn diagram?

Explanation opens after your attempt

Correct Answer

B. (35)

Step 1

Concept

Only (A) is (59-24=35). Subtract the common part from total (A).

Step 2

Why this answer is correct

The correct answer is B. (35). Only (A) is (59-24=35). Subtract the common part from total (A).

Step 3

Exam Tip

केवल (A) का भाग (59-24=35) है। कुल (A) में से साझा भाग घटाना चाहिए।

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Question 8/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

तीन समुच्चयों में केवल (A=19), केवल (B=23), केवल (C=17), केवल \(A\cap B=8\), केवल \(B\cap C=10\), केवल \(C\cap A=6\) और \(A\cap B\cap C=5\) हैं। (n\(B\cup C\)) कितना होगा?

In three sets, only (A=19), only (B=23), only (C=17), only \(A\cap B=8\), only \(B\cap C=10\), only \(C\cap A=6\), and \(A\cap B\cap C=5\). What is (n\(B\cup C\))?

Explanation opens after your attempt

Correct Answer

B. (61)

Step 1

Concept

\(B\cup C\) includes parts inside (B) or (C), (23+17+8+10+6+5=69). Notice that only (A) is not included.

Step 2

Why this answer is correct

The correct answer is B. (61). \(B\cup C\) includes parts inside (B) or (C), (23+17+8+10+6+5=69). Notice that only (A) is not included.

Step 3

Exam Tip

\(B\cup C\) में (B) या (C) के अंदर आने वाले भाग जुड़ेंगे, (23+17+8+10+6+5=69)। ध्यान दें कि केवल (A) इसमें नहीं आएगा।

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Question 9/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(B)=66) और (n\(A\cap B\)=31) है, तो केवल (B) वाला क्षेत्र कितना होगा?

If (n(B)=66) and (n\(A\cap B\)=31), what is the only (B) region?

Explanation opens after your attempt

Correct Answer

B. (35)

Step 1

Concept

For only (B), (66-31=35). In a Venn diagram, writing the middle part first is helpful.

Step 2

Why this answer is correct

The correct answer is B. (35). For only (B), (66-31=35). In a Venn diagram, writing the middle part first is helpful.

Step 3

Exam Tip

केवल (B) के लिए (66-31=35) होगा। वेन आरेख में मध्य भाग पहले लिखना आसान रहता है।

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Question 10/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=46), (n(B)=40), (n(C)=37), (n\(A\cap B\)=14), (n\(B\cap C\)=12), (n\(C\cap A\)=11) और (n\(A\cup B\cup C\)=91) है, तो (n\(A\cap B\cap C\)) कितना है?

If (n(A)=46), (n(B)=40), (n(C)=37), (n\(A\cap B\)=14), (n\(B\cap C\)=12), (n\(C\cap A\)=11), and (n\(A\cup B\cup C\)=91), what is (n\(A\cap B\cap C\))?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

In the formula (91=46+40+37-14-12-11+x), so (x=5). In three sets, the central part is added at the end.

Step 2

Why this answer is correct

The correct answer is B. (5). In the formula (91=46+40+37-14-12-11+x), so (x=5). In three sets, the central part is added at the end.

Step 3

Exam Tip

सूत्र में (91=46+40+37-14-12-11+x) होगा, इसलिए (x=5)। तीन समुच्चयों में केंद्रीय भाग अंत में जोड़ा जाता है।

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

दो समुच्चयों के वेन आरेख में (n(A-B)=26), (n\(A\cap B\)=18), (n(B-A)=33) और बाहर (12) तत्व हैं। (n(U)) कितना है?

In a two-set Venn diagram (n(A-B)=26), (n\(A\cap B\)=18), (n(B-A)=33), and (12) elements are outside. What is (n(U))?

Explanation opens after your attempt

Correct Answer

B. (89)

Step 1

Concept

The universal set is the sum of all regions, so (26+18+33+12=89). Do not miss any region.

Step 2

Why this answer is correct

The correct answer is B. (89). The universal set is the sum of all regions, so (26+18+33+12=89). Do not miss any region.

Step 3

Exam Tip

सार्वत्रिक समुच्चय सभी क्षेत्रों का योग है, इसलिए (26+18+33+12=89)। कोई भी क्षेत्र छोड़ना नहीं चाहिए।

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Question 12/50 Medium Mathematics Sets Class 11 Level 15

वेन आरेख में \(A\cup B)\cap C^c\) किस क्षेत्र को दर्शाता है?

What region does \(A\cup B)\cap C^c\) represent in a Venn diagram?

Explanation opens after your attempt

Correct Answer

A. \(A\cup B\) का वह भाग जो (C) में नहीं हैPart of \(A\cup B\) that is not in (C)

Step 1

Concept

\(C^c\) means outside (C), so (\(A\cup B\)\cap C^c) contains parts of (A) or (B) that are not in (C). The complement sign limits the region.

Step 2

Why this answer is correct

The correct answer is A. \(A\cup B\) का वह भाग जो (C) में नहीं है / Part of \(A\cup B\) that is not in (C). \(C^c\) means outside (C), so (\(A\cup B\)\cap C^c) contains parts of (A) or (B) that are not in (C). The complement sign limits the region.

Step 3

Exam Tip

\(C^c\) का अर्थ (C) के बाहर है, इसलिए (\(A\cup B\)\cap C^c) में (A) या (B) के वे भाग आते हैं जो (C) में नहीं हैं। पूरक चिन्ह क्षेत्र को सीमित करता है।

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

यदि (n(U)=96), (n(A-B)=29), (n\(A\cap B\)=17) और (n(B-A)=22) है, तो वेन आरेख का बाहरी क्षेत्र कितना है?

If (n(U)=96), (n(A-B)=29), (n\(A\cap B\)=17), and (n(B-A)=22), what is the outside region of the Venn diagram?

Explanation opens after your attempt

Correct Answer

A. (28)

Step 1

Concept

The inside union is (29+17+22=68), so outside is (96-68=28). The outside region is found by subtracting the inside part from (U).

Step 2

Why this answer is correct

The correct answer is A. (28). The inside union is (29+17+22=68), so outside is (96-68=28). The outside region is found by subtracting the inside part from (U).

Step 3

Exam Tip

अंदर का संघ (29+17+22=68) है, इसलिए बाहर (96-68=28) है। बाहरी क्षेत्र (U) से अंदर का भाग घटाकर मिलता है।

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

यदि \(A\subseteq B\subseteq C\), (n(C)=95), (n(B)=61) और (n(A)=28) है, तो (n(C-B)) कितना होगा?

If \(A\subseteq B\subseteq C\), (n(C)=95), (n(B)=61), and (n(A)=28), what is (n(C-B))?

Explanation opens after your attempt

Correct Answer

A. (34)

Step 1

Concept

(B) lies completely inside (C), so (n(C-B)=95-61=34). In a nested Venn diagram, subtract the inner part from the larger set.

Step 2

Why this answer is correct

The correct answer is A. (34). (B) lies completely inside (C), so (n(C-B)=95-61=34). In a nested Venn diagram, subtract the inner part from the larger set.

Step 3

Exam Tip

(B) पूरा (C) के अंदर है, इसलिए (n(C-B)=95-61=34)। nested वेन आरेख में बड़े से अंदर वाले भाग को घटाएं।

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

यदि \(A\subseteq B\), (n(A)=34) और (n(B)=82) है, तो (n(B-A)) कितना होगा?

If \(A\subseteq B\), (n(A)=34), and (n(B)=82), what is (n(B-A))?

Explanation opens after your attempt

Correct Answer

A. (48)

Step 1

Concept

Since (A) lies completely inside (B), (n(B-A)=82-34=48). In a subset case, the smaller circle lies inside the larger one.

Step 2

Why this answer is correct

The correct answer is A. (48). Since (A) lies completely inside (B), (n(B-A)=82-34=48). In a subset case, the smaller circle lies inside the larger one.

Step 3

Exam Tip

क्योंकि (A) पूरा (B) में है, इसलिए (n(B-A)=82-34=48)। उपसमुच्चय में छोटा वृत्त बड़े के अंदर होता है।

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Question 16/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक खेल सर्वे में (80) लोग क्रिकेट, (64) फुटबॉल और (29) दोनों पसंद करते हैं। केवल एक खेल पसंद करने वाले कितने हैं?

In a sports survey, (80) people like cricket, (64) like football, and (29) like both. How many like exactly one sport?

Explanation opens after your attempt

Correct Answer

A. (86)

Step 1

Concept

Exactly one (=(80-29)+(64-29)=86). You can also use (n(A)+n(B)-2n\(A\cap B\)) directly.

Step 2

Why this answer is correct

The correct answer is A. (86). Exactly one (=(80-29)+(64-29)=86). You can also use (n(A)+n(B)-2n\(A\cap B\)) directly.

Step 3

Exam Tip

केवल एक (=(80-29)+(64-29)=86) है। सीधे (n(A)+n(B)-2n\(A\cap B\)) भी लगा सकते हैं।

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Question 17/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि \(A\cap B=\varnothing\), (n(A)=45) और (n(B)=37) है, तो (n\(A\cup B\)) क्या होगा?

If \(A\cap B=\varnothing\), (n(A)=45), and (n(B)=37), what is (n\(A\cup B\))?

Explanation opens after your attempt

Correct Answer

D. (82)

Step 1

Concept

Disjoint sets have common part (0), so (45+37=82). When \(A\cap B=\varnothing\), take the subtracted part as zero.

Step 2

Why this answer is correct

The correct answer is D. (82). Disjoint sets have common part (0), so (45+37=82). When \(A\cap B=\varnothing\), take the subtracted part as zero.

Step 3

Exam Tip

असंबद्ध समुच्चयों में साझा भाग (0) होता है, इसलिए (45+37=82)। \(A\cap B=\varnothing\) दिखे तो घटाने वाला भाग शून्य मानें।

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Question 18/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(U)=100), (n(A)=52) और (n(B)=47) है, तो (n\(A\cap B\)) का न्यूनतम संभव मान क्या होगा?

If (n(U)=100), (n(A)=52), and (n(B)=47), what is the minimum possible value of (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Since (52+47=99), which is not greater than (100), the intersection can be (0). For the minimum, check whether the two totals exceed (U).

Step 2

Why this answer is correct

The correct answer is A. (0). Since (52+47=99), which is not greater than (100), the intersection can be (0). For the minimum, check whether the two totals exceed (U).

Step 3

Exam Tip

क्योंकि (52+47=99), जो (100) से अधिक नहीं है, इसलिए प्रतिच्छेद (0) भी हो सकता है। न्यूनतम के लिए देखें कि दोनों कुल (U) से अधिक हो रहे हैं या नहीं।

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Question 19/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक वेन आरेख में (n\(A\cup B\)=98) और (n\(A\cap B\)=42) है। ठीक एक समुच्चय में आने वाले तत्व कितने हैं?

In a Venn diagram (n\(A\cup B\)=98) and (n\(A\cap B\)=42). How many elements are in exactly one set?

Explanation opens after your attempt

Correct Answer

A. (56)

Step 1

Concept

Exactly one set is (98-42=56). The union includes the common part, so remove it.

Step 2

Why this answer is correct

The correct answer is A. (56). Exactly one set is (98-42=56). The union includes the common part, so remove it.

Step 3

Exam Tip

ठीक एक समुच्चय (98-42=56) है। संघ में साझा भाग शामिल होता है, इसलिए उसे हटाएं।

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Question 20/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(U)=90), (n(A)=58) और (n(B)=45) है, तो (n\(A\cap B\)) का न्यूनतम संभव मान क्या होगा?

If (n(U)=90), (n(A)=58), and (n(B)=45), what is the minimum possible value of (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

The minimum intersection is (n(A)+n(B)-n(U)=58+45-90=13). When the total exceeds (U), the extra part must be common.

Step 2

Why this answer is correct

The correct answer is C. (13). The minimum intersection is (n(A)+n(B)-n(U)=58+45-90=13). When the total exceeds (U), the extra part must be common.

Step 3

Exam Tip

न्यूनतम प्रतिच्छेद (n(A)+n(B)-n(U)=58+45-90=13) है। जब कुल (U) से अधिक हो जाए तो अतिरिक्त भाग अनिवार्य साझा होता है।

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Question 21/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A-B)=38) और (n(B-A)=27) है, तो (n\(A\triangle B\)) कितना होगा?

If (n(A-B)=38) and (n(B-A)=27), what is (n\(A\triangle B\))?

Explanation opens after your attempt

Correct Answer

B. (65)

Step 1

Concept

The symmetric difference includes only (A) and only (B), so (38+27=65). The common part is not included.

Step 2

Why this answer is correct

The correct answer is B. (65). The symmetric difference includes only (A) and only (B), so (38+27=65). The common part is not included.

Step 3

Exam Tip

सममित अंतर में केवल (A) और केवल (B) वाले भाग आते हैं, इसलिए (38+27=65)। साझा भाग इसमें शामिल नहीं होता।

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Question 22/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(U)=130) और (n\(A\cap B\)=46) है, तो (n(\(A\cap B\)^c)) कितना होगा?

If (n(U)=130) and (n\(A\cap B\)=46), what is (n(\(A\cap B\)^c))?

Explanation opens after your attempt

Correct Answer

B. (84)

Step 1

Concept

The complement is found by subtracting from (U), so (130-46=84). Here the complement of only the common part is asked.

Step 2

Why this answer is correct

The correct answer is B. (84). The complement is found by subtracting from (U), so (130-46=84). Here the complement of only the common part is asked.

Step 3

Exam Tip

पूरक (U) से घटाकर मिलता है, इसलिए (130-46=84)। यहां केवल साझा भाग का पूरक पूछा गया है।

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Question 23/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

\(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\) और \(B=\{3,4,6,9,12\}\) हैं। \(A\cap B\) क्या है?

\(U=\{1,2,3,4,5,6,7,8,9,10,11,12\}\), \(A=\{2,4,6,8,10,12\}\), and \(B=\{3,4,6,9,12\}\). What is \(A\cap B\)?

Explanation opens after your attempt

Correct Answer

A. ({4,6,12})

Step 1

Concept

The common elements in both sets are (4,6,12). Intersection contains only common elements.

Step 2

Why this answer is correct

The correct answer is A. ({4,6,12}). The common elements in both sets are (4,6,12). Intersection contains only common elements.

Step 3

Exam Tip

दोनों समुच्चयों में समान तत्व (4,6,12) हैं। प्रतिच्छेद में केवल सामान्य तत्व आते हैं।

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Question 24/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

\(A=\{a,c,e,g,i\}\) और \(B=\{b,c,d,g,j\}\) हैं। \(A\cup B\) क्या है?

\(A=\{a,c,e,g,i\}\) and \(B=\{b,c,d,g,j\}\). What is \(A\cup B\)?

Explanation opens after your attempt

Correct Answer

B. ({a,b,c,d,e,g,i,j})

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. ({a,b,c,d,e,g,i,j}). 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 25/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

\(A=\{5,10,15,20,25,30\}\) और \(B=\{10,20,30,40\}\) हैं। (A-B) क्या है?

\(A=\{5,10,15,20,25,30\}\) and \(B=\{10,20,30,40\}\). What is (A-B)?

Explanation opens after your attempt

Correct Answer

C. ({5,15,25})

Step 1

Concept

(A-B) keeps elements of (A) that are not in (B). (10,20,30) are common, so they are removed.

Step 2

Why this answer is correct

The correct answer is C. ({5,15,25}). (A-B) keeps elements of (A) that are not in (B). (10,20,30) are common, so they are removed.

Step 3

Exam Tip

(A-B) में (A) के वे तत्व रहते हैं जो (B) में नहीं हैं। (10,20,30) साझा हैं, इसलिए हट जाते हैं।

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Question 26/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

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

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

Explanation opens after your attempt

Correct Answer

B. ({n,p,r,t})

Step 1

Concept

\(A^c\) contains elements of (U) that are not in (A). Hence the answer is ({n,p,r,t}).

Step 2

Why this answer is correct

The correct answer is B. ({n,p,r,t}). \(A^c\) contains elements of (U) that are not in (A). Hence the answer is ({n,p,r,t}).

Step 3

Exam Tip

\(A^c\) में (U) के वे तत्व आते हैं जो (A) में नहीं हैं। इसलिए उत्तर ({n,p,r,t}) है।

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Question 27/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

तीन समुच्चयों में (n(A)=42), (n(B)=39), (n(C)=35), (n\(A\cap B\)=15), (n\(B\cap C\)=13), (n\(C\cap A\)=11) और (n\(A\cap B\cap C\)=5) है। (n\(A\cup B\cup C\)) कितना है?

For three sets, (n(A)=42), (n(B)=39), (n(C)=35), (n\(A\cap B\)=15), (n\(B\cap C\)=13), (n\(C\cap A\)=11), and (n\(A\cap B\cap C\)=5). What is (n\(A\cup B\cup C\))?

Explanation opens after your attempt

Correct Answer

B. (87)

Step 1

Concept

The union of three sets is (42+39+35-15-13-11+5=87). Adding back the final common part is necessary.

Step 2

Why this answer is correct

The correct answer is B. (87). The union of three sets is (42+39+35-15-13-11+5=87). Adding back the final common part is necessary.

Step 3

Exam Tip

तीन समुच्चयों का संघ (42+39+35-15-13-11+5=87) है। अंतिम साझा भाग को वापस जोड़ना जरूरी है।

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Question 28/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

तीन समुच्चयों में (n\(A\cap B\)=21), (n\(B\cap C\)=19), (n\(C\cap A\)=16) और (n\(A\cap B\cap C\)=7) है। ठीक दो समुच्चयों में आने वाले तत्व कितने हैं?

In three sets (n\(A\cap B\)=21), (n\(B\cap C\)=19), (n\(C\cap A\)=16), and (n\(A\cap B\cap C\)=7). How many elements are in exactly two sets?

Explanation opens after your attempt

Correct Answer

A. (35)

Step 1

Concept

Exactly two (=(21-7)+(19-7)+(16-7)=35). Subtract the common part of all three from each pair.

Step 2

Why this answer is correct

The correct answer is A. (35). Exactly two (=(21-7)+(19-7)+(16-7)=35). Subtract the common part of all three from each pair.

Step 3

Exam Tip

ठीक दो (=(21-7)+(19-7)+(16-7)=35) है। हर जोड़ी से तीनों का साझा भाग घटाएं।

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Question 29/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=63), (n\(A\cap B\)=26), (n\(A\cap C\)=24) और (n\(A\cap B\cap C\)=9) है, तो केवल (A) कितने हैं?

If (n(A)=63), (n\(A\cap B\)=26), (n\(A\cap C\)=24), and (n\(A\cap B\cap C\)=9), how many are only in (A)?

Explanation opens after your attempt

Correct Answer

B. (22)

Step 1

Concept

Only (A=63-26-24+9=22). The central part is subtracted twice, so it is added once.

Step 2

Why this answer is correct

The correct answer is B. (22). Only (A=63-26-24+9=22). The central part is subtracted twice, so it is added once.

Step 3

Exam Tip

केवल (A=63-26-24+9=22) है। केंद्रीय भाग दो बार घटता है, इसलिए एक बार जोड़ा जाता है।

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Question 30/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n\(A\cap B\)=29) और (n\(A\cap B\cap C\)=12) है, तो केवल (A) और (B) में लेकिन (C) में नहीं कितने हैं?

If (n\(A\cap B\)=29) and (n\(A\cap B\cap C\)=12), how many are only in (A) and (B) but not in (C)?

Explanation opens after your attempt

Correct Answer

A. (17)

Step 1

Concept

For only (A) and (B), (29-12=17). A pairwise intersection includes the common part of all three.

Step 2

Why this answer is correct

The correct answer is A. (17). For only (A) and (B), (29-12=17). A pairwise intersection includes the common part of all three.

Step 3

Exam Tip

केवल (A) और (B) के लिए (29-12=17) होगा। जोड़ी वाले प्रतिच्छेद में तीनों का साझा भाग शामिल रहता है।

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Question 31/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(U)=160) और (n\(A\cup B\cup C\)=127) है, तो किसी भी समुच्चय में नहीं आने वाले तत्व कितने हैं?

If (n(U)=160) and (n\(A\cup B\cup C\)=127), how many elements are in none of the sets?

Explanation opens after your attempt

Correct Answer

C. (33)

Step 1

Concept

None is (160-127=33). The outside region is found by subtracting the union from (U).

Step 2

Why this answer is correct

The correct answer is C. (33). None is (160-127=33). The outside region is found by subtracting the union from (U).

Step 3

Exam Tip

किसी में नहीं (160-127=33) है। बाहर का क्षेत्र (U) से संघ घटाकर मिलता है।

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Question 32/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n\(A\triangle B\)=78) और (n(A-B)=34) है, तो (n(B-A)) कितना होगा?

If (n\(A\triangle B\)=78) and (n(A-B)=34), what is (n(B-A))?

Explanation opens after your attempt

Correct Answer

B. (44)

Step 1

Concept

The symmetric difference is the sum of (A-B) and (B-A), so (78-34=44). The common part is not included.

Step 2

Why this answer is correct

The correct answer is B. (44). The symmetric difference is the sum of (A-B) and (B-A), so (78-34=44). The common part is not included.

Step 3

Exam Tip

सममित अंतर (A-B) और (B-A) का योग है, इसलिए (78-34=44)। साझा भाग इसमें नहीं आता।

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Question 33/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=54), (n(B)=61) और ठीक एक समुच्चय में (73) तत्व हैं, तो (n\(A\cap B\)) कितना होगा?

If (n(A)=54), (n(B)=61), and (73) elements are in exactly one set, what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

C. (21)

Step 1

Concept

Exactly one is (n(A)+n(B)-2n\(A\cap B\)). So (73=115-2x), giving (x=21).

Step 2

Why this answer is correct

The correct answer is C. (21). Exactly one is (n(A)+n(B)-2n\(A\cap B\)). So (73=115-2x), giving (x=21).

Step 3

Exam Tip

ठीक एक (n(A)+n(B)-2n\(A\cap B\)) होता है। इसलिए (73=115-2x), तो (x=21)।

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Question 34/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक कक्षा में (63) विद्यार्थी नृत्य, (58) संगीत और (26) दोनों सीखते हैं। कम से कम एक कला सीखने वाले कितने हैं?

In a class, (63) students learn dance, (58) learn music, and (26) learn both. How many learn at least one art?

Explanation opens after your attempt

Correct Answer

A. (95)

Step 1

Concept

At least one means \(A\cup B\), so (63+58-26=95). Count those who learn both only once.

Step 2

Why this answer is correct

The correct answer is A. (95). At least one means \(A\cup B\), so (63+58-26=95). Count those who learn both only once.

Step 3

Exam Tip

कम से कम एक का अर्थ \(A\cup B\) है, इसलिए (63+58-26=95)। दोनों सीखने वालों को एक बार ही गिनें।

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Question 35/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

(90) विद्यार्थियों में (43) रसायन, (39) जीवविज्ञान और (18) दोनों विषय पसंद करते हैं। कोई भी विषय पसंद न करने वाले कितने हैं?

Among (90) students, (43) like Chemistry, (39) like Biology, and (18) like both subjects. How many like neither subject?

Explanation opens after your attempt

Correct Answer

B. (26)

Step 1

Concept

At least one is (43+39-18=64), so neither is (90-64=26). Finding the union first is the easy method.

Step 2

Why this answer is correct

The correct answer is B. (26). At least one is (43+39-18=64), so neither is (90-64=26). Finding the union first is the easy method.

Step 3

Exam Tip

कम से कम एक (43+39-18=64) है, इसलिए कोई नहीं (90-64=26)। पहले संघ निकालना आसान तरीका है।

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Question 36/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

एक समूह में (52) लोग सेब, (47) केला और (19) दोनों पसंद करते हैं। केवल सेब पसंद करने वाले कितने हैं?

In a group, (52) people like apples, (47) like bananas, and (19) like both. How many like only apples?

Explanation opens after your attempt

Correct Answer

A. (33)

Step 1

Concept

Only apples is (52-19=33). Subtract those who like both from total apples.

Step 2

Why this answer is correct

The correct answer is A. (33). Only apples is (52-19=33). Subtract those who like both from total apples.

Step 3

Exam Tip

केवल सेब (52-19=33) है। कुल सेब से दोनों पसंद करने वालों को घटाएं।

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Question 37/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=49), (n(B)=52) और \(A\cap B=\varnothing\) है, तो ठीक एक समुच्चय में कितने तत्व होंगे?

If (n(A)=49), (n(B)=52), and \(A\cap B=\varnothing\), how many elements are in exactly one set?

Explanation opens after your attempt

Correct Answer

D. (101)

Step 1

Concept

When sets are disjoint, every element belongs to exactly one set, so (49+52=101). The common part is zero.

Step 2

Why this answer is correct

The correct answer is D. (101). When sets are disjoint, every element belongs to exactly one set, so (49+52=101). The common part is zero.

Step 3

Exam Tip

असंबद्ध होने पर हर तत्व ठीक एक समुच्चय में आता है, इसलिए (49+52=101)। साझा भाग शून्य है।

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Question 38/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

(n(A-B)=41) और (n\(A\cap B\)=22) है। (n(A)) कितना होगा?

(n(A-B)=41) and (n\(A\cap B\)=22). What is (n(A))?

Explanation opens after your attempt

Correct Answer

B. (63)

Step 1

Concept

Whole (A) is made of (A-B) and \(A\cap B\). Hence (n(A)=41+22=63).

Step 2

Why this answer is correct

The correct answer is B. (63). Whole (A) is made of (A-B) and \(A\cap B\). Hence (n(A)=41+22=63).

Step 3

Exam Tip

पूरा (A), (A-B) और \(A\cap B\) से बनता है। इसलिए (n(A)=41+22=63)।

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Question 39/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n\(A\cup B\)=88), (n(A-B)=31) और (n(B-A)=29) है, तो (n\(A\cap B\)) कितना है?

If (n\(A\cup B\)=88), (n(A-B)=31), and (n(B-A)=29), what is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

B. (28)

Step 1

Concept

The union has three separate parts, so (88-31-29=28). In Venn diagrams, subtracting separate regions is easy.

Step 2

Why this answer is correct

The correct answer is B. (28). The union has three separate parts, so (88-31-29=28). In Venn diagrams, subtracting separate regions is easy.

Step 3

Exam Tip

संघ के तीन अलग भाग हैं, इसलिए (88-31-29=28)। वेन आरेख में अलग क्षेत्रों को घटाना आसान रहता है।

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Question 40/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

(n\(A\cup B\)=104), (n(A-B)=46) और (n\(A\cap B\)=25) है। (n(B-A)) कितना होगा?

(n\(A\cup B\)=104), (n(A-B)=46), and (n\(A\cap B\)=25). What is (n(B-A))?

Explanation opens after your attempt

Correct Answer

A. (33)

Step 1

Concept

(B-A=104-46-25=33). The union contains three separate inside regions.

Step 2

Why this answer is correct

The correct answer is A. (33). (B-A=104-46-25=33). The union contains three separate inside regions.

Step 3

Exam Tip

(B-A=104-46-25=33) है। संघ में तीन अलग-अलग अंदरूनी क्षेत्र होते हैं।

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Question 41/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

(n(U)=125), (n(A)=62), (n(B)=55) और (n(\(A\cup B\)^c)=24) है। (n\(A\cap B\)) कितना होगा?

(n(U)=125), (n(A)=62), (n(B)=55), and (n(\(A\cup B\)^c)=24). What is (n\(A\cap B\))?

Explanation opens after your attempt

Correct Answer

A. (16)

Step 1

Concept

First (n\(A\cup B\)=125-24=101). Then (n\(A\cap B\)=62+55-101=16).

Step 2

Why this answer is correct

The correct answer is A. (16). First (n\(A\cup B\)=125-24=101). Then (n\(A\cap B\)=62+55-101=16).

Step 3

Exam Tip

पहले (n\(A\cup B\)=125-24=101)। फिर (n\(A\cap B\)=62+55-101=16)।

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Question 42/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

तीन समुच्चयों में (n\(A\cap B\cap C\)=14) है। यह वेन आरेख के किस भाग को दिखाता है?

In three sets (n\(A\cap B\cap C\)=14). 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 43/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि केवल (A=18), केवल (B=22), केवल (C=19), केवल \(A\cap B=9\), केवल \(B\cap C=8\), केवल \(C\cap A=7\) और \(A\cap B\cap C=6\) हैं, तो (n\(A\cup B\cup C\)) कितना है?

If only (A=18), only (B=22), only (C=19), only \(A\cap B=9\), only \(B\cap C=8\), only \(C\cap A=7\), and \(A\cap B\cap C=6\), what is (n\(A\cup B\cup C\))?

Explanation opens after your attempt

Correct Answer

C. (89)

Step 1

Concept

The union is the sum of all seven inside regions, (18+22+19+9+8+7+6=89). Add each region only once.

Step 2

Why this answer is correct

The correct answer is C. (89). The union is the sum of all seven inside regions, (18+22+19+9+8+7+6=89). Add each region only once.

Step 3

Exam Tip

संघ सातों अंदरूनी क्षेत्रों का योग है, (18+22+19+9+8+7+6=89)। हर क्षेत्र को केवल एक बार जोड़ें।

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Question 44/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

तीन समुच्चयों में केवल (A=27), केवल \(A\cap B=10\), केवल \(C\cap A=12\) और \(A\cap B\cap C=8\) हैं। (n(A)) कितना होगा?

In three sets, only (A=27), only \(A\cap B=10\), only \(C\cap A=12\), and \(A\cap B\cap C=8\). What is (n(A))?

Explanation opens after your attempt

Correct Answer

B. (57)

Step 1

Concept

Add all regions inside (A), (27+10+12+8=57). The total of a set is the sum of all its inside regions.

Step 2

Why this answer is correct

The correct answer is B. (57). Add all regions inside (A), (27+10+12+8=57). 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, (27+10+12+8=57)। किसी समुच्चय की कुल संख्या उसके सभी अंदरूनी भागों का योग है।

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Question 45/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

तीन समुच्चयों के वेन आरेख में केवल (B=24), केवल \(A\cap B=11\), केवल \(B\cap C=13\) और \(A\cap B\cap C=9\) हैं। (n(B)) कितना होगा?

In a three-set Venn diagram, only (B=24), only \(A\cap B=11\), only \(B\cap C=13\), and \(A\cap B\cap C=9\). What is (n(B))?

Explanation opens after your attempt

Correct Answer

C. (57)

Step 1

Concept

Adding all parts of (B) gives (24+11+13+9=57). Total (B) includes all regions inside (B).

Step 2

Why this answer is correct

The correct answer is C. (57). Adding all parts of (B) gives (24+11+13+9=57). Total (B) includes all regions inside (B).

Step 3

Exam Tip

(B) के सभी भाग जोड़ने पर (24+11+13+9=57) मिलता है। कुल (B) में (B) के अंदर के सभी क्षेत्र शामिल होते हैं।

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Question 46/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

(n(U)=180), (n(A)=76), (n(B)=69), (n(C)=62), (n\(A\cap B\)=30), (n\(B\cap C\)=27), (n\(C\cap A\)=24) और (n\(A\cap B\cap C\)=10) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?

(n(U)=180), (n(A)=76), (n(B)=69), (n(C)=62), (n\(A\cap B\)=30), (n\(B\cap C\)=27), (n\(C\cap A\)=24), and (n\(A\cap B\cap C\)=10). How many are in none of the sets?

Explanation opens after your attempt

Correct Answer

A. (44)

Step 1

Concept

The union is (76+69+62-30-27-24+10=136), so outside is (180-136=44). Apply inclusion-exclusion carefully for three sets.

Step 2

Why this answer is correct

The correct answer is A. (44). The union is (76+69+62-30-27-24+10=136), so outside is (180-136=44). Apply inclusion-exclusion carefully for three sets.

Step 3

Exam Tip

संघ (76+69+62-30-27-24+10=136) है, इसलिए बाहर (180-136=44)। तीन समुच्चयों में समावेशन-बहिष्करण ध्यान से लगाएं।

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Question 47/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n(A)=48), (n(B)=43), (n(C)=41), (n\(A\cup B\cup C\)=99), (n\(A\cap B\)=17), (n\(B\cap C\)=14) और (n\(C\cap A\)=13) है, तो (n\(A\cap B\cap C\)) कितना है?

If (n(A)=48), (n(B)=43), (n(C)=41), (n\(A\cup B\cup C\)=99), (n\(A\cap B\)=17), (n\(B\cap C\)=14), and (n\(C\cap A\)=13), what is (n\(A\cap B\cap C\))?

Explanation opens after your attempt

Correct Answer

D. (11)

Step 1

Concept

In the formula (99=48+43+41-17-14-13+x), so (x=11). Find the unknown central part by forming an equation.

Step 2

Why this answer is correct

The correct answer is D. (11). In the formula (99=48+43+41-17-14-13+x), so (x=11). Find the unknown central part by forming an equation.

Step 3

Exam Tip

सूत्र में (99=48+43+41-17-14-13+x) होगा, इसलिए (x=11)। अज्ञात केंद्रीय भाग को समीकरण से निकालें।

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Question 48/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n\(A^c\)=58) और (n(U)=132) है, तो (n(A)) कितना होगा?

If (n\(A^c\)=58) and (n(U)=132), what is (n(A))?

Explanation opens after your attempt

Correct Answer

B. (74)

Step 1

Concept

(A) and \(A^c\) together form (U), so (n(A)=132-58=74). In complement questions, always check the universal set.

Step 2

Why this answer is correct

The correct answer is B. (74). (A) and \(A^c\) together form (U), so (n(A)=132-58=74). In complement questions, always check the universal set.

Step 3

Exam Tip

(A) और \(A^c\) मिलकर (U) बनाते हैं, इसलिए (n(A)=132-58=74)। पूरक के प्रश्न में सार्वत्रिक समुच्चय जरूर देखें।

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Question 49/50 Medium Mathematics Sets Venn Diagrams Class 11 Level 15

यदि (n\(A\cup B\)=73), (n(A-B)=28) और (n(B-A)=32) है, तो कौन सा कथन सही है?

If (n\(A\cup B\)=73), (n(A-B)=28), and (n(B-A)=32), which statement is correct?

Explanation opens after your attempt

Correct Answer

A. (n\(A\cap B\)=13)

Step 1

Concept

The common part is (73-28-32=13). Identifying separate regions of the union saves time in exams.

Step 2

Why this answer is correct

The correct answer is A. (n\(A\cap B\)=13). The common part is (73-28-32=13). Identifying separate regions of the union saves time in exams.

Step 3

Exam Tip

साझा भाग (73-28-32=13) 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 15

एक वेन आरेख में (n\(A\cap B\)=0) है और (n\(A\cup B\)=92) है। यदि (n(A)=40), तो (n(B)) कितना होगा?

In a Venn diagram (n\(A\cap B\)=0) and (n\(A\cup B\)=92). If (n(A)=40), what is (n(B))?

Explanation opens after your attempt

Correct Answer

B. (52)

Step 1

Concept

The intersection is zero, so (n\(A\cup B\)=n(A)+n(B)). Hence (n(B)=92-40=52).

Step 2

Why this answer is correct

The correct answer is B. (52). The intersection is zero, so (n\(A\cup B\)=n(A)+n(B)). Hence (n(B)=92-40=52).

Step 3

Exam Tip

प्रतिच्छेद शून्य है, इसलिए (n\(A\cup B\)=n(A)+n(B))। अतः (n(B)=92-40=52)।

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Class 11 Mathematics Medium Quiz

एक वेन आरेख में (n(U)=110), (n(A)=57), (n(B)=49) और (n\(A\cap B\)=21) हैं। (n\(A\cup B\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

एक सर्वे में (n(U)=150), (n(A)=70), (n(B)=62) और (n(\(A\cup B\)^c)=32) है। (n\(A\cap B\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=68), (n(B)=53) और (n\(A\cup B\)=91) है, तो (n\(A\cap B\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

एक वेन आरेख में केवल (A) में (24), केवल (B) में (31) और दोनों में (16) तत्व हैं। (n\(A\cup B\)) कितना है?

Concept

Why this answer is correct

Exam Tip

एक सर्वे में (n(U)=140), (n(A)=72), (n(B)=64) और (n\(A\cap B\)=28) हैं। किसी भी समुच्चय में नहीं आने वाले कितने हैं?

Concept

Why this answer is correct

Exam Tip

यदि (n\(A\cup B\)=96), (n(A)=58) और (n(A-B)=29) है, तो (n(B-A)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=59) और (n\(A\cap B\)=24) है, तो वेन आरेख में केवल (A) वाले तत्व कितने होंगे?

Concept

Why this answer is correct

Exam Tip

तीन समुच्चयों में केवल (A=19), केवल (B=23), केवल (C=17), केवल \(A\cap B=8\), केवल \(B\cap C=10\), केवल \(C\cap A=6\) और \(A\cap B\cap C=5\) हैं। (n\(B\cup C\)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि (n(B)=66) और (n\(A\cap B\)=31) है, तो केवल (B) वाला क्षेत्र कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि (n(A)=46), (n(B)=40), (n(C)=37), (n\(A\cap B\)=14), (n\(B\cap C\)=12), (n\(C\cap A\)=11) और (n\(A\cup B\cup C\)=91) है, तो (n\(A\cap B\cap C\)) कितना है?

Concept

Why this answer is correct

Exam Tip

दो समुच्चयों के वेन आरेख में (n(A-B)=26), (n\(A\cap B\)=18), (n(B-A)=33) और बाहर (12) तत्व हैं। (n(U)) कितना है?

Concept

Why this answer is correct

Exam Tip

वेन आरेख में \(A\cup B)\cap C^c\) किस क्षेत्र को दर्शाता है?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=96), (n(A-B)=29), (n\(A\cap B\)=17) और (n(B-A)=22) है, तो वेन आरेख का बाहरी क्षेत्र कितना है?

Concept

Why this answer is correct

Exam Tip

यदि \(A\subseteq B\subseteq C\), (n(C)=95), (n(B)=61) और (n(A)=28) है, तो (n(C-B)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(A\subseteq B\), (n(A)=34) और (n(B)=82) है, तो (n(B-A)) कितना होगा?

Concept

Why this answer is correct

Exam Tip

एक खेल सर्वे में (80) लोग क्रिकेट, (64) फुटबॉल और (29) दोनों पसंद करते हैं। केवल एक खेल पसंद करने वाले कितने हैं?

Concept

Why this answer is correct

Exam Tip

यदि \(A\cap B=\varnothing\), (n(A)=45) और (n(B)=37) है, तो (n\(A\cup B\)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=100), (n(A)=52) और (n(B)=47) है, तो (n\(A\cap B\)) का न्यूनतम संभव मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक वेन आरेख में (n\(A\cup B\)=98) और (n\(A\cap B\)=42) है। ठीक एक समुच्चय में आने वाले तत्व कितने हैं?

Concept

Why this answer is correct

Exam Tip

यदि (n(U)=90), (n(A)=58) और (n(B)=45) है, तो (n\(A\cap B\)) का न्यूनतम संभव मान क्या होगा?

Concept

Why this answer is correct