\(यदि (U={1,2,\ldots,24}), (A={x:x\) 2 से विभाज्य है\(}), (B={x:x\) 3 से विभाज्य है\(}), तो (|A'\cup B'|) कितना है\)?

\(If (U={1,2,\ldots,24}), (A={x:x\) is divisible by \(2}), (B={x:x\) is divisible by \(3}), what is (|A'\cup B'|)\)?

Explanation opens after your attempt
Correct Answer

C. (20)

Step 1

Concept

(A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (4) multiples of (6), so the count is (24-4=20).

Step 2

Why this answer is correct

The correct answer is C. (20). (A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (4) multiples of (6), so the count is (24-4=20).

Step 3

Exam Tip

(A'\cup B'=\(A\cap B\)')। \(A\cap B\) में (6) के (4) गुणज हैं, इसलिए संख्या (24-4=20) है।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,\ldots,24}), (A={x:x\) 2 से विभाज्य है\(}), (B={x:x\) 3 से विभाज्य है}), तो \(|A'\cup B'|\) कितना है? \(/ If (U={1,2,\ldots,24}), (A={x:x\) is divisible by \(2}), (B={x:x\) is divisible by \(3}), what is (|A'\cup B'|)\)?

Correct Answer: C. (20). Explanation: (A'\cup B'=\(A\cap B\)')। \(A\cap B\) में (6) के (4) गुणज हैं, इसलिए संख्या (24-4=20) है। / (A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (4) multiples of (6), so the count is (24-4=20).

Which concept should I revise for this Mathematics MCQ?

(A'\cup B'=\(A\cap B\)'). \(A\cap B\) has (4) multiples of (6), so the count is (24-4=20).

What exam hint can help solve this Mathematics question?

(A'\cup B'=\(A\cap B\)')। \(A\cap B\) में (6) के (4) गुणज हैं, इसलिए संख्या (24-4=20) है।