\(यदि (U={1,2,\ldots,40}), (A={x:x\) अभाज्य है\(}) और (B={x:x\) विषम है\(}), तो (|A'\cap B|) कितना है\)?

\(If (U={1,2,\ldots,40}), (A={x:x\) is prime\(}) and (B={x:x\) is odd\(}), what is (|A'\cap B|)\)?

Explanation opens after your attempt
Correct Answer

D. (10)

Step 1

Concept

There are (20) odd numbers from (1) to (40), and (10) of them are prime. So odd but not prime numbers are (20-10=10).

Step 2

Why this answer is correct

The correct answer is D. (10). There are (20) odd numbers from (1) to (40), and (10) of them are prime. So odd but not prime numbers are (20-10=10).

Step 3

Exam Tip

(1) से (40) तक (20) विषम संख्याएँ हैं और उनमें (10) अभाज्य हैं। इसलिए विषम पर अभाज्य नहीं संख्याएँ (20-10=10) हैं।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,\ldots,40}), (A={x:x\) अभाज्य है\(}) और (B={x:x\) विषम है}), तो \(|A'\cap B|\) कितना है? \(/ If (U={1,2,\ldots,40}), (A={x:x\) is prime\(}) and (B={x:x\) is odd\(}), what is (|A'\cap B|)\)?

Correct Answer: D. (10). Explanation: (1) से (40) तक (20) विषम संख्याएँ हैं और उनमें (10) अभाज्य हैं। इसलिए विषम पर अभाज्य नहीं संख्याएँ (20-10=10) हैं। / There are (20) odd numbers from (1) to (40), and (10) of them are prime. So odd but not prime numbers are (20-10=10).

Which concept should I revise for this Mathematics MCQ?

There are (20) odd numbers from (1) to (40), and (10) of them are prime. So odd but not prime numbers are (20-10=10).

What exam hint can help solve this Mathematics question?

(1) से (40) तक (20) विषम संख्याएँ हैं और उनमें (10) अभाज्य हैं। इसलिए विषम पर अभाज्य नहीं संख्याएँ (20-10=10) हैं।