\(U={1,2,3,\ldots,120}\), (A) (3) से विभाज्य, (B) (4) से विभाज्य और (C) (12) से विभाज्य संख्याओं के समुच्चय हैं। कौन सा संबंध सही है?
\(U={1,2,3,\ldots,120}\), (A) is the set of numbers divisible by (3), (B) by (4), and (C) by (12). Which relation is correct?
Explanation opens after your attempt
Correct Answer
A. \(C=A\cap B\)
Concept
A number divisible by (12) is divisible by both (3) and (4), so \(C=A\cap B\). In the Venn diagram, (C) is the common part.
Why this answer is correct
The correct answer is A. \(C=A\cap B\). A number divisible by (12) is divisible by both (3) and (4), so \(C=A\cap B\). In the Venn diagram, (C) is the common part.
Exam Tip
(12) से विभाज्य संख्या (3) और (4) दोनों से विभाज्य होती है, इसलिए \(C=A\cap B\)। वेन आरेख में (C) साझा भाग है।
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