यदि \(A={x\in\mathbb{N}:x\le40,\ 4\mid x}\) और \(B={x\in\mathbb{N}:x\le40,\ 6\mid x}\), तो \(A\cap B\) क्या है?
If \(A={x\in\mathbb{N}:x\le40,\ 4\mid x}\) and \(B={x\in\mathbb{N}:x\le40,\ 6\mid x}\), what is \(A\cap B\)?
Explanation opens after your attempt
Correct Answer
A. ({12,24,36})
Concept
A number divisible by both (4) and (6) is divisible by (\operatorname{lcm}(4,6)=12). Up to (40), the multiples are ({12,24,36}).
Why this answer is correct
The correct answer is A. ({12,24,36}). A number divisible by both (4) and (6) is divisible by (\operatorname{lcm}(4,6)=12). Up to (40), the multiples are ({12,24,36}).
Exam Tip
जो संख्या (4) और (6) दोनों से विभाज्य है, वह (\operatorname{lcm}(4,6)=12) से विभाज्य होगी। (40) तक ऐसे गुणज ({12,24,36}) हैं।
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