यदि \(U={1,2,\ldots,90}\), \(A={x:x\in U,;6\mid x}\) और \(B={x:x\in U,;15\mid x}\) हैं, तो \(|A\cup B|\) कितना है?
If \(U={1,2,\ldots,90}\), \(A={x:x\in U,;6\mid x}\) and \(B={x:x\in U,;15\mid x}\), what is \(|A\cup B|\)?
Explanation opens after your attempt
Correct Answer
A. (18)
Concept
Here (|A|=15), (|B|=6), and \(|A\cap B|=3\) because common multiples are multiples of (30). So \(|A\cup B|=15+6-3=18\).
Why this answer is correct
The correct answer is A. (18). Here (|A|=15), (|B|=6), and \(|A\cap B|=3\) because common multiples are multiples of (30). So \(|A\cup B|=15+6-3=18\).
Exam Tip
(|A|=15), (|B|=6) और \(|A\cap B|=3\) क्योंकि सामान्य गुणज (30) के होंगे। अतः \(|A\cup B|=15+6-3=18\) है।
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