\(यदि (U={1,2,\ldots,50}), (A={x:x\) 4 से विभाज्य है\(}) और (B={x:x\) 6 से विभाज्य है\(}), तो (|A'\cap B|) कितना है\)?

\(If (U={1,2,\ldots,50}), (A={x:x\) is divisible by \(4}) and (B={x:x\) is divisible by \(6}), what is (|A'\cap B|)\)?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

(B) has (8) elements, and \(A\cap B\) has (4) multiples of (12). Therefore \(A'\cap B\) has (8-4=4) elements.

Step 2

Why this answer is correct

The correct answer is A. (4). (B) has (8) elements, and \(A\cap B\) has (4) multiples of (12). Therefore \(A'\cap B\) has (8-4=4) elements.

Step 3

Exam Tip

(B) में (8) अवयव हैं और \(A\cap B\) में (12) के (4) गुणज हैं। इसलिए \(A'\cap B\) में (8-4=4) अवयव हैं।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,\ldots,50}), (A={x:x\) 4 से विभाज्य है\(}) और (B={x:x\) 6 से विभाज्य है}), तो \(|A'\cap B|\) कितना है? \(/ If (U={1,2,\ldots,50}), (A={x:x\) is divisible by \(4}) and (B={x:x\) is divisible by \(6}), what is (|A'\cap B|)\)?

Correct Answer: A. (4). Explanation: (B) में (8) अवयव हैं और \(A\cap B\) में (12) के (4) गुणज हैं। इसलिए \(A'\cap B\) में (8-4=4) अवयव हैं। / (B) has (8) elements, and \(A\cap B\) has (4) multiples of (12). Therefore \(A'\cap B\) has (8-4=4) elements.

Which concept should I revise for this Mathematics MCQ?

(B) has (8) elements, and \(A\cap B\) has (4) multiples of (12). Therefore \(A'\cap B\) has (8-4=4) elements.

What exam hint can help solve this Mathematics question?

(B) में (8) अवयव हैं और \(A\cap B\) में (12) के (4) गुणज हैं। इसलिए \(A'\cap B\) में (8-4=4) अवयव हैं।