यदि \(A=\{1,2,3,4,5,6\}\) और \(B=\{2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b) (2) से विभाज्य है?
If \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (a+b) divisible by (2)?
Explanation opens after your attempt
Step 1
Concept
The sum is divisible by (2) when both have the same parity. The count is \(3\cdot2+3\cdot2=12\).
Step 2
Why this answer is correct
The correct answer is B. (12). The sum is divisible by (2) when both have the same parity. The count is \(3\cdot2+3\cdot2=12\).
Step 3
Exam Tip
योग (2) से विभाज्य तब है जब दोनों की समता समान हो। गिनती \(3\cdot2+3\cdot2=12\) है।
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यदि \(A=\{1,2,3,4,5\}\) और \(B=\{2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b) (2) से विभाज्य है?
If \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (a+b) divisible by (2)?
Explanation opens after your attempt
Step 1
Concept
The sum is divisible by (2) when both have the same parity. The count is \(3\cdot2+2\cdot2=10\).
Step 2
Why this answer is correct
The correct answer is B. (10). The sum is divisible by (2) when both have the same parity. The count is \(3\cdot2+2\cdot2=10\).
Step 3
Exam Tip
योग (2) से विभाज्य तब है जब दोनों की समता समान हो। गिनती \(3\cdot2+2\cdot2=10\) है।
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