\(यदि (U={1,2,\ldots,30}), (A={x:x \in U,x\) सम है\(}) और (B={x:x \in U,x\) अभाज्य है\(}), तो (A'\cap B) क्या है\)?
\(If (U={1,2,\ldots,30}), (A={x:x \in U,x\) is even\(}), and (B={x:x \in U,x\) is prime\(}), what is (A'\cap B)\)?
Explanation opens after your attempt
A. ({3,5,7,11,13,17,19,23,29})
Concept
(A') is the set of odd numbers. Thus \(A'\cap B\) contains odd prime numbers except (2).
Why this answer is correct
The correct answer is A. ({3,5,7,11,13,17,19,23,29}). (A') is the set of odd numbers. Thus \(A'\cap B\) contains odd prime numbers except (2).
Exam Tip
(A') विषम संख्याओं का समुच्चय है। इसलिए \(A'\cap B\) में (2) को छोड़कर विषम अभाज्य संख्याएं होंगी।
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