यदि \(A=\{1,2,4\}\) और \(B=\{2,3,4\}\) हैं, तो \(A\times B\) में कितने युग्म ((x,y)) ऐसे हैं कि (x+y) सम है?
If \(A=\{1,2,4\}\) and \(B=\{2,3,4\}\), how many pairs ((x,y)) in \(A\times B\) have (x+y) even?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
The sum is even when both components are even or both are odd. Here the valid pairs are ((2,2),(2,4),(4,2),(4,4)).
Why this answer is correct
The correct answer is A. (4). The sum is even when both components are even or both are odd. Here the valid pairs are ((2,2),(2,4),(4,2),(4,4)).
Exam Tip
योग सम तब होगा जब दोनों घटक सम हों या दोनों विषम हों। यहां सही युग्म ((2,2),(2,4),(4,2),(4,4)) हैं।
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