\(यदि (A={x:x\in \mathbb{N}, 1\le x\le 30, x\) 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 \(3}), how many elements are in (A\cap B)\)?
Explanation opens after your attempt
Correct Answer
A. (5)
Concept
\(A\cap B\) contains multiples of both (2) and (3), that is, multiples of (6). Up to (30), these elements are ({6,12,18,24,30}).
Why this answer is correct
The correct answer is A. (5). \(A\cap B\) contains multiples of both (2) and (3), that is, multiples of (6). Up to (30), these elements are ({6,12,18,24,30}).
Exam Tip
\(A\cap B\) में (2) और (3) दोनों के गुणज, यानी (6) के गुणज आएंगे। (30) तक ऐसे अवयव ({6,12,18,24,30}) हैं।
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