यदि \(U={1,2,\ldots,100}\), \(A={x:x\in U,10\mid x}\) और \(B={x:x\in U,15\mid x}\), तो (n\(A'\cup B'\)) क्या है?
If \(U={1,2,\ldots,100}\), \(A={x:x\in U,10\mid x}\), and \(B={x:x\in U,15\mid x}\), what is (n\(A'\cup B'\))?
Explanation opens after your attempt
Correct Answer
A. (97)
Concept
(A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (3) multiples of (30), so the complement is (100-3=97).
Why this answer is correct
The correct answer is A. (97). (A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (3) multiples of (30), so the complement is (100-3=97).
Exam Tip
(A'\cup B'=\(A\cap B\)') है। \(A\cap B\) में (30) के (3) गुणज हैं, इसलिए पूरक (100-3=97) है।
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