\(यदि (U={1,2,\ldots,42}), (A={x:x\) 3 से विभाज्य है\(}) और (B={x:x\) 7 से विभाज्य है\(}), तो (|A'\cup B'|) कितना है\)?
\(If (U={1,2,\ldots,42}), (A={x:x\) is divisible by \(3}) and (B={x:x\) is divisible by \(7}), what is (|A'\cup B'|)\)?
Explanation opens after your attempt
Correct Answer
B. (40)
Concept
(A'\cup B'=\(A\cap B\)'), and \(A\cap B\) has (2) multiples of (21). So the count is (42-2=40).
Why this answer is correct
The correct answer is B. (40). (A'\cup B'=\(A\cap B\)'), and \(A\cap B\) has (2) multiples of (21). So the count is (42-2=40).
Exam Tip
(A'\cup B'=\(A\cap B\)') और \(A\cap B\) में (21) के (2) गुणज हैं। इसलिए संख्या (42-2=40) है।
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