यदि (|U|=100), (|A'|=58) और (|B'|=47), साथ ही (|A B|=21), तो (|(A B)'|) कितना होगा? / If (|U|=100), (|A'|=58) and (|B'|=47), with (|A B|=21), what is (|(A B)'|)?

Correct Answer: C. (26). Explanation: (|A|=42) और (|B|=53), इसलिए (|A B|=42+53-21=74)। अतः (|(A B)'|=100-74=26)। / (|A|=42) and (|B|=53), so (|A B|=42+53-21=74). Hence (|(A B)'|=100-74=26).

Class 11 Mathematics Sets Complement of a Set and its properties Hard Level 19

यदि (|U|=100), (|A'|=58) और (|B'|=47), साथ ही \(|A\cap B|=21\), तो (|\(A\cup B\)'|) कितना होगा?

If (|U|=100), (|A'|=58) and (|B'|=47), with \(|A\cap B|=21\), what is (|\(A\cup B\)'|)?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

(|A|=42) and (|B|=53), so \(|A\cup B|=42+53-21=74\). Hence (|\(A\cup B\)'|=100-74=26).

Step 2

Why this answer is correct

The correct answer is C. (26). (|A|=42) and (|B|=53), so \(|A\cup B|=42+53-21=74\). Hence (|\(A\cup B\)'|=100-74=26).

Step 3

Exam Tip

(|A|=42) और (|B|=53), इसलिए \(|A\cup B|=42+53-21=74\)। अतः (|\(A\cup B\)'|=100-74=26)।

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Mathematics Answer, Explanation and Revision Hints

यदि (|U|=100), (|A'|=58) और (|B'|=47), साथ ही \(|A\cap B|=21\), तो (|\(A\cup B\)'|) कितना होगा? / If (|U|=100), (|A'|=58) and (|B'|=47), with \(|A\cap B|=21\), what is (|\(A\cup B\)'|)?

Correct Answer: C. (26). Explanation: (|A|=42) और (|B|=53), इसलिए \(|A\cup B|=42+53-21=74\)। अतः (|\(A\cup B\)'|=100-74=26)। / (|A|=42) and (|B|=53), so \(|A\cup B|=42+53-21=74\). Hence (|\(A\cup B\)'|=100-74=26).

Which concept should I revise for this Mathematics MCQ?

(|A|=42) and (|B|=53), so \(|A\cup B|=42+53-21=74\). Hence (|\(A\cup B\)'|=100-74=26).

What exam hint can help solve this Mathematics question?

(|A|=42) और (|B|=53), इसलिए \(|A\cup B|=42+53-21=74\)। अतः (|\(A\cup B\)'|=100-74=26)।

यदि (|U|=100), (|A'|=58) और (|B'|=47), साथ ही \(|A\cap B|=21\), तो (|\(A\cup B\)'|) कितना होगा?

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यदि (|U|=100), (|A'|=58) और (|B'|=47), साथ ही \(|A\cap B|=21\), तो (|\(A\cup B\)'|) कितना होगा?

Concept

Why this answer is correct

Exam Tip

Question me issue ya doubt hai?

Related Mathematics Questions

Related Mathematics Learning Links

Mathematics Subject

Sets Quiz

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Daily Challenge

Mathematics Answer, Explanation and Revision Hints

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