\(यदि (U={1,2,\ldots,32}), (A={x:x\) 4 का गुणज है\(}) और (B={x:x\) 16 का गुणज है\(}), तो (A'\cup B) में कितने अवयव हैं\)?

\(If (U={1,2,\ldots,32}), (A={x:x\) is a multiple of \(4}) and (B={x:x\) is a multiple of \(16}), how many elements are in (A'\cup B)\)?

Explanation opens after your attempt
Correct Answer

C. (26)

Step 1

Concept

(A') has (32-8=24) elements and \(B\subseteq A\), so \(A'\cap B=\varnothing\). (B) has (2) elements, hence the total is (26).

Step 2

Why this answer is correct

The correct answer is C. (26). (A') has (32-8=24) elements and \(B\subseteq A\), so \(A'\cap B=\varnothing\). (B) has (2) elements, hence the total is (26).

Step 3

Exam Tip

(A') में (32-8=24) अवयव हैं और \(B\subseteq A\), इसलिए \(A'\cap B=\varnothing\)। (B) में (2) अवयव हैं, अतः कुल (26) है।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,\ldots,32}), (A={x:x\) 4 का गुणज है\(}) और (B={x:x\) 16 का गुणज है}), तो \(A'\cup B\) में कितने अवयव हैं? \(/ If (U={1,2,\ldots,32}), (A={x:x\) is a multiple of \(4}) and (B={x:x\) is a multiple of \(16}), how many elements are in (A'\cup B)\)?

Correct Answer: C. (26). Explanation: (A') में (32-8=24) अवयव हैं और \(B\subseteq A\), इसलिए \(A'\cap B=\varnothing\)। (B) में (2) अवयव हैं, अतः कुल (26) है। / (A') has (32-8=24) elements and \(B\subseteq A\), so \(A'\cap B=\varnothing\). (B) has (2) elements, hence the total is (26).

Which concept should I revise for this Mathematics MCQ?

(A') has (32-8=24) elements and \(B\subseteq A\), so \(A'\cap B=\varnothing\). (B) has (2) elements, hence the total is (26).

What exam hint can help solve this Mathematics question?

(A') में (32-8=24) अवयव हैं और \(B\subseteq A\), इसलिए \(A'\cap B=\varnothing\)। (B) में (2) अवयव हैं, अतः कुल (26) है।