यदि \(U={1,2,\ldots,54}\), \(A={x:x\in U,6\mid x}\), \(B={x:x\in U,9\mid x}\), तो (n\(A'\cap B\)) क्या है?
If \(U={1,2,\ldots,54}\), \(A={x:x\in U,6\mid x}\), and \(B={x:x\in U,9\mid x}\), what is (n\(A'\cap B\))?
Explanation opens after your attempt
Correct Answer
A. (3)
Concept
(B) contains (9,18,27,36,45,54). Among them (18,36,54) are divisible by (6), so \(A'\cap B\) has (9,27,45), that is (3) elements.
Why this answer is correct
The correct answer is A. (3). (B) contains (9,18,27,36,45,54). Among them (18,36,54) are divisible by (6), so \(A'\cap B\) has (9,27,45), that is (3) elements.
Exam Tip
(B) में (9,18,27,36,45,54) हैं। इनमें (18,36,54) (6) से विभाज्य हैं, इसलिए \(A'\cap B\) में (9,27,45) यानी (3) सदस्य हैं।
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