\(यदि (U={1,2,\ldots,50}), (A={x:x\) 4 से विभाज्य है\(}) और (B={x:x\) 6 से विभाज्य है\(}), तो (|A'\cap B|) कितना है\)?
\(If (U={1,2,\ldots,50}), (A={x:x\) is divisible by \(4}) and (B={x:x\) is divisible by \(6}), what is (|A'\cap B|)\)?
Explanation opens after your attempt
A. (4)
Concept
(B) has (8) elements, and \(A\cap B\) has (4) multiples of (12). Therefore \(A'\cap B\) has (8-4=4) elements.
Why this answer is correct
The correct answer is A. (4). (B) has (8) elements, and \(A\cap B\) has (4) multiples of (12). Therefore \(A'\cap B\) has (8-4=4) elements.
Exam Tip
(B) में (8) अवयव हैं और \(A\cap B\) में (12) के (4) गुणज हैं। इसलिए \(A'\cap B\) में (8-4=4) अवयव हैं।
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