\(यदि (A={x:x\in \mathbb{N}, 1\le x\le 30, x\) का गुणज 2 है\(}) और (B={x:x\in \mathbb{N}, 1\le x\le 30, x\) का गुणज 3 है\(}), तो (A\cap B) में कितने अवयव हैं\)?
\(If (A={x:x\in \mathbb{N}, 1\le x\le 30, x\) is a multiple of \(2}) and (B={x:x\in \mathbb{N}, 1\le x\le 30, x\) is a multiple of \(3}), how many elements are in (A\cap B)\)?
Correct answer and explanation
A. (5)
Simple Explanation
\(A\cap B\) में (2) और (3) दोनों के गुणज, यानी (6) के गुणज आएंगे। (30) तक ऐसे अवयव ({6,12,18,24,30}) हैं। / \(A\cap B\) contains multiples of both (2) and (3), that is, multiples of (6). Up to (30), these elements are ({6,12,18,24,30}).
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