यदि \(U={1,2,\ldots,90}\), \(A={x:x \in U,6\mid x}\), \(B={x:x \in U,10\mid x}\), तो (n(\(A\cap B\)')) क्या है?
If \(U={1,2,\ldots,90}\), \(A={x:x \in U,6\mid x}\), and \(B={x:x \in U,10\mid x}\), what is (n(\(A\cap B\)'))?
Explanation opens after your attempt
Correct Answer
A. (87)
Concept
\(A\cap B\) contains multiples of (30), and there are (3) up to (90). So the complement has (90-3=87) elements.
Why this answer is correct
The correct answer is A. (87). \(A\cap B\) contains multiples of (30), and there are (3) up to (90). So the complement has (90-3=87) elements.
Exam Tip
\(A\cap B\) में (30) के गुणज होंगे, जो (90) तक (3) हैं। इसलिए पूरक में (90-3=87) सदस्य हैं।
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