\(यदि (U={x:x \in \mathbb{N}, x \le 60}), (A={x:x \in U\) तथा \(3 \mid x}) और (B={x:x \in U\) तथा \(4 \mid x}), तो (n((A \cap B)')) क्या है\)?
\(If (U={x:x \in \mathbb{N}, x \le 60}), (A={x:x \in U\) and \(3 \mid x}), and (B={x:x \in U\) and \(4 \mid x}), what is (n((A \cap B)'))\)?
Explanation opens after your attempt
Correct Answer
A. (55)
Concept
\(A \cap B\) contains multiples of (12), and there are (5) up to (60). Hence the complement is (60-5=55).
Why this answer is correct
The correct answer is A. (55). \(A \cap B\) contains multiples of (12), and there are (5) up to (60). Hence the complement is (60-5=55).
Exam Tip
\(A \cap B\) में (12) के गुणज होंगे और (60) तक ऐसे (5) हैं। इसलिए पूरक (60-5=55) है।
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