यदि \(U={x:x\in \mathbb{N}, x\le 24}\), (A) (2) के गुणजों का समुच्चय है और (B) (3) के गुणजों का समुच्चय है, तो (|\(A\cap B\)'|) क्या होगा?

If \(U={x:x\in \mathbb{N}, x\le 24}\), (A) is the set of multiples of (2) and (B) is the set of multiples of (3), what is (|\(A\cap B\)'|)?

Explanation opens after your attempt
Correct Answer

C. (20)

Step 1

Concept

\(A\cap B\) contains the multiples of (6): (6,12,18,24), so it has (4) elements. The complement has (24-4=20) elements.

Step 2

Why this answer is correct

The correct answer is C. (20). \(A\cap B\) contains the multiples of (6): (6,12,18,24), so it has (4) elements. The complement has (24-4=20) elements.

Step 3

Exam Tip

\(A\cap B\) में (6) के गुणज (6,12,18,24) हैं, इसलिए इसमें (4) तत्व हैं। पूरक में (24-4=20) तत्व होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U={x:x\in \mathbb{N}, x\le 24}\), (A) (2) के गुणजों का समुच्चय है और (B) (3) के गुणजों का समुच्चय है, तो (|\(A\cap B\)'|) क्या होगा? / If \(U={x:x\in \mathbb{N}, x\le 24}\), (A) is the set of multiples of (2) and (B) is the set of multiples of (3), what is (|\(A\cap B\)'|)?

Correct Answer: C. (20). Explanation: \(A\cap B\) में (6) के गुणज (6,12,18,24) हैं, इसलिए इसमें (4) तत्व हैं। पूरक में (24-4=20) तत्व होंगे। / \(A\cap B\) contains the multiples of (6): (6,12,18,24), so it has (4) elements. The complement has (24-4=20) elements.

Which concept should I revise for this Mathematics MCQ?

\(A\cap B\) contains the multiples of (6): (6,12,18,24), so it has (4) elements. The complement has (24-4=20) elements.

What exam hint can help solve this Mathematics question?

\(A\cap B\) में (6) के गुणज (6,12,18,24) हैं, इसलिए इसमें (4) तत्व हैं। पूरक में (24-4=20) तत्व होंगे।