\(यदि (U={x:x\in \mathbb{N},1\leq x\leq 12}) और (A={x:x\in U, x\) अभाज्य है\(}) है, तो (|\mathcal{P}(A')|) कितना है\)?
\(If (U={x:x\in \mathbb{N},1\leq x\leq 12}) and (A={x:x\in U, x\) is prime\(}), what is (|\mathcal{P}(A')|)\)?
Explanation opens after your attempt
Correct Answer
C. (256)
Concept
The primes in (U) are ({2,3,5,7,11}), so (|A'|=12-5=7) and the value is \(2^7=128\). In exams, do not count (1) as prime.
Why this answer is correct
The correct answer is C. (256). The primes in (U) are ({2,3,5,7,11}), so (|A'|=12-5=7) and the value is \(2^7=128\). In exams, do not count (1) as prime.
Exam Tip
(U) में primes ({2,3,5,7,11}) हैं, इसलिए (|A'|=12-5=7) और \(2^7=128\) नहीं? ध्यान दें (A') में (7) तत्व हैं, इसलिए सही मान (128) है।
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