यदि \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\) और \(C=\{(a,b)\in A\times B:\operatorname{lcm}(a,b)=6\}\), तो (C) कौन सा है?

If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(C=\{(a,b)\in A\times B:\operatorname{lcm}(a,b)=6\}\), which is (C)?

Explanation opens after your attempt
Correct Answer

A. ({(2,3),(3,2)})

Step 1

Concept

Only ((2,3)) and ((3,2)) have (\operatorname{lcm}(a,b)=6). Remember that (6) is not in the second set (B).

Step 2

Why this answer is correct

The correct answer is A. ({(2,3),(3,2)}). Only ((2,3)) and ((3,2)) have (\operatorname{lcm}(a,b)=6). Remember that (6) is not in the second set (B).

Step 3

Exam Tip

केवल ((2,3)) और ((3,2)) के लिए (\operatorname{lcm}(a,b)=6) है। ध्यान रखें कि (6) दूसरे समुच्चय (B) में नहीं है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\) और \(C=\{(a,b)\in A\times B:\operatorname{lcm}(a,b)=6\}\), तो (C) कौन सा है? / If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(C=\{(a,b)\in A\times B:\operatorname{lcm}(a,b)=6\}\), which is (C)?

Correct Answer: A. ({(2,3),(3,2)}). Explanation: केवल ((2,3)) और ((3,2)) के लिए (\operatorname{lcm}(a,b)=6) है। ध्यान रखें कि (6) दूसरे समुच्चय (B) में नहीं है। / Only ((2,3)) and ((3,2)) have (\operatorname{lcm}(a,b)=6). Remember that (6) is not in the second set (B).

Which concept should I revise for this Mathematics MCQ?

Only ((2,3)) and ((3,2)) have (\operatorname{lcm}(a,b)=6). Remember that (6) is not in the second set (B).

What exam hint can help solve this Mathematics question?

केवल ((2,3)) और ((3,2)) के लिए (\operatorname{lcm}(a,b)=6) है। ध्यान रखें कि (6) दूसरे समुच्चय (B) में नहीं है।