यदि \(U={1,2,\ldots,36}\), (A) (4) के गुणजों का समुच्चय है और (B) (9) के गुणजों का समुच्चय है, तो \(|A'\cap B'|\) कितना है?

If \(U={1,2,\ldots,36}\), (A) is the set of multiples of (4) and (B) is the set of multiples of (9), what is \(|A'\cap B'|\)?

Explanation opens after your attempt
Correct Answer

B. (24)

Step 1

Concept

(|A|=9), (|B|=4), and \(|A\cap B|=1\), so \(|A\cup B|=12\). Hence \(|A'\cap B'|=36-12=24\).

Step 2

Why this answer is correct

The correct answer is B. (24). (|A|=9), (|B|=4), and \(|A\cap B|=1\), so \(|A\cup B|=12\). Hence \(|A'\cap B'|=36-12=24\).

Step 3

Exam Tip

(|A|=9), (|B|=4) और \(|A\cap B|=1\), इसलिए \(|A\cup B|=12\)। अतः \(|A'\cap B'|=36-12=24\)।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={1,2,\ldots,36}\), (A) (4) के गुणजों का समुच्चय है और (B) (9) के गुणजों का समुच्चय है, तो \(|A'\cap B'|\) कितना है? / If \(U={1,2,\ldots,36}\), (A) is the set of multiples of (4) and (B) is the set of multiples of (9), what is \(|A'\cap B'|\)?

Correct Answer: B. (24). Explanation: (|A|=9), (|B|=4) और \(|A\cap B|=1\), इसलिए \(|A\cup B|=12\)। अतः \(|A'\cap B'|=36-12=24\)। / (|A|=9), (|B|=4), and \(|A\cap B|=1\), so \(|A\cup B|=12\). Hence \(|A'\cap B'|=36-12=24\).

Which concept should I revise for this Mathematics MCQ?

(|A|=9), (|B|=4), and \(|A\cap B|=1\), so \(|A\cup B|=12\). Hence \(|A'\cap B'|=36-12=24\).

What exam hint can help solve this Mathematics question?

(|A|=9), (|B|=4) और \(|A\cap B|=1\), इसलिए \(|A\cup B|=12\)। अतः \(|A'\cap B'|=36-12=24\)।