यदि \(A=\{1,2,3\}\) और \(B=\{2,3,4,5\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (b-a) सम है?

If \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (b-a) even?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

(b-a) is even when (a) and (b) have the same parity. The count is \(2\cdot2+1\cdot2=6\).

Step 2

Why this answer is correct

The correct answer is B. (6). (b-a) is even when (a) and (b) have the same parity. The count is \(2\cdot2+1\cdot2=6\).

Step 3

Exam Tip

(b-a) सम तब है जब (a) और (b) की समता समान हो। गिनती \(2\cdot2+1\cdot2=6\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\) और \(B=\{2,3,4,5\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (b-a) सम है? / If \(A=\{1,2,3\}\) and \(B=\{2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (b-a) even?

Correct Answer: B. (6). Explanation: (b-a) सम तब है जब (a) और (b) की समता समान हो। गिनती \(2\cdot2+1\cdot2=6\) है। / (b-a) is even when (a) and (b) have the same parity. The count is \(2\cdot2+1\cdot2=6\).

Which concept should I revise for this Mathematics MCQ?

(b-a) is even when (a) and (b) have the same parity. The count is \(2\cdot2+1\cdot2=6\).

What exam hint can help solve this Mathematics question?

(b-a) सम तब है जब (a) और (b) की समता समान हो। गिनती \(2\cdot2+1\cdot2=6\) है।