यदि \(U={1,2,\ldots,84}\), \(A={x:x\in U,;7\mid x}\) और \(B={x:x\in U,;12\mid x}\) हैं, तो \(|A\cup B|\) कितना है?
If \(U={1,2,\ldots,84}\), \(A={x:x\in U,;7\mid x}\) and \(B={x:x\in U,;12\mid x}\), what is \(|A\cup B|\)?
Explanation opens after your attempt
Correct Answer
A. (18)
Concept
Here (|A|=12), (|B|=7) and \(|A\cap B|=1\), so \(|A\cup B|=18\). In such questions, use the least common multiple for common multiples.
Why this answer is correct
The correct answer is A. (18). Here (|A|=12), (|B|=7) and \(|A\cap B|=1\), so \(|A\cup B|=18\). In such questions, use the least common multiple for common multiples.
Exam Tip
(|A|=12), (|B|=7) और \(|A\cap B|=1\), इसलिए \(|A\cup B|=18\) है। ऐसे प्रश्नों में सामान्य गुणज के लिए लघुत्तम समापवर्त्य लें।
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