Class 11 Mathematics - Sets - Venn Diagrams Hard Quiz

Mathematics Sets Venn Diagrams Hard Class 11 Level 10

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Question 1/2 Hard Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि (|U|=20), (|A|=12), (|B|=9) और \(|A\cap B|=5\), तो (|\(A\cup B\)'|) क्या होगा?

If (|U|=20), (|A|=12), (|B|=9) and \(|A\cap B|=5\), what is (|\(A\cup B\)'|)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(|A\cup B|=12+9-5=16\). The complement has (20-16=4) elements.

Step 2

Why this answer is correct

The correct answer is B. (4). \(|A\cup B|=12+9-5=16\). The complement has (20-16=4) elements.

Step 3

Exam Tip

\(|A\cup B|=12+9-5=16\) है। पूरक की संख्या (20-16=4) होगी।

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Question 2/2 Hard Mathematics Sets Power Set and Universal Set Class 11 Level 10

यदि (U) छात्रों का समुच्चय है, (A) गणित पढ़ने वालों का और (B) भौतिकी पढ़ने वालों का है, तो \(A'\cap B'\) क्या दर्शाता है?

If (U) is the set of students, (A) is students studying Mathematics and (B) is students studying Physics, what does \(A'\cap B'\) represent?

Explanation opens after your attempt
Correct Answer

B. जो कोई भी विषय नहीं पढ़तेStudents studying neither subject

Step 1

Concept

\(A'\cap B'\) contains students not in (A) and not in (B). It represents students studying neither Mathematics nor Physics.

Step 2

Why this answer is correct

The correct answer is B. जो कोई भी विषय नहीं पढ़ते / Students studying neither subject. \(A'\cap B'\) contains students not in (A) and not in (B). It represents students studying neither Mathematics nor Physics.

Step 3

Exam Tip

\(A'\cap B'\) में वे छात्र हैं जो (A) में भी नहीं और (B) में भी नहीं हैं। यह न गणित न भौतिकी पढ़ने वालों को दर्शाता है।

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