यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (a+b) (5) से विभाज्य है?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (a+b) divisible by (5)?
Explanation opens after your attempt
Correct Answer
B. (4)
Concept
The pairs with sum divisible by (5) are ((1,4),(2,3),(3,2),(4,1)). Counting by remainders is easier.
Why this answer is correct
The correct answer is B. (4). The pairs with sum divisible by (5) are ((1,4),(2,3),(3,2),(4,1)). Counting by remainders is easier.
Exam Tip
योग (5) से विभाज्य होने वाले युग्म ((1,4),(2,3),(3,2),(4,1)) हैं। शेषफल के आधार पर गिनना आसान होता है।
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