यदि \(U={1,2,\ldots,36}\), (A) (4) के गुणजों का समुच्चय है और (B) (9) के गुणजों का समुच्चय है, तो \(|A'\cap B'|\) कितना है?
If \(U={1,2,\ldots,36}\), (A) is the set of multiples of (4) and (B) is the set of multiples of (9), what is \(|A'\cap B'|\)?
Explanation opens after your attempt
B. (24)
Concept
(|A|=9), (|B|=4), and \(|A\cap B|=1\), so \(|A\cup B|=12\). Hence \(|A'\cap B'|=36-12=24\).
Why this answer is correct
The correct answer is B. (24). (|A|=9), (|B|=4), and \(|A\cap B|=1\), so \(|A\cup B|=12\). Hence \(|A'\cap B'|=36-12=24\).
Exam Tip
(|A|=9), (|B|=4) और \(|A\cap B|=1\), इसलिए \(|A\cup B|=12\)। अतः \(|A'\cap B'|=36-12=24\)।
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