यदि \(A={x:x\in\mathbb{N},;x\le 60,;4\mid x}\) और \(B={x:x\in\mathbb{N},;x\le 60,;6\mid x}\), तो \(|A\setminus B|\) कितना है?

If \(A={x:x\in\mathbb{N},;x\le 60,;4\mid x}\) and \(B={x:x\in\mathbb{N},;x\le 60,;6\mid x}\), what is \(|A\setminus B|\)?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

The set (A) has (15) elements and \(A\cap B\) has (5) elements divisible by (12). So \(|A\setminus B|=15-5=10\).

Step 2

Why this answer is correct

The correct answer is A. (10). The set (A) has (15) elements and \(A\cap B\) has (5) elements divisible by (12). So \(|A\setminus B|=15-5=10\).

Step 3

Exam Tip

(A) में (15) तत्व हैं और \(A\cap B\) में (12) से विभाज्य (5) तत्व हैं। इसलिए \(|A\setminus B|=15-5=10\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={x:x\in\mathbb{N},;x\le 60,;4\mid x}\) और \(B={x:x\in\mathbb{N},;x\le 60,;6\mid x}\), तो \(|A\setminus B|\) कितना है? / If \(A={x:x\in\mathbb{N},;x\le 60,;4\mid x}\) and \(B={x:x\in\mathbb{N},;x\le 60,;6\mid x}\), what is \(|A\setminus B|\)?

Correct Answer: A. (10). Explanation: (A) में (15) तत्व हैं और \(A\cap B\) में (12) से विभाज्य (5) तत्व हैं। इसलिए \(|A\setminus B|=15-5=10\) है। / The set (A) has (15) elements and \(A\cap B\) has (5) elements divisible by (12). So \(|A\setminus B|=15-5=10\).

Which concept should I revise for this Mathematics MCQ?

The set (A) has (15) elements and \(A\cap B\) has (5) elements divisible by (12). So \(|A\setminus B|=15-5=10\).

What exam hint can help solve this Mathematics question?

(A) में (15) तत्व हैं और \(A\cap B\) में (12) से विभाज्य (5) तत्व हैं। इसलिए \(|A\setminus B|=15-5=10\) है।