यदि \(A=\{1,2,3,4\}\) और \(B=\{2,4,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((x,y)) ऐसे हैं कि (y) सम है?

If \(A=\{1,2,3,4\}\) and \(B=\{2,4,6\}\), how many pairs ((x,y)) in \(A\times B\) have (y) even?

Explanation opens after your attempt
Correct Answer

B. (12)

Step 1

Concept

All (3) elements of (B) are even and pair with (4) elements of (A). Hence \(4\times3=12\) pairs are formed.

Step 2

Why this answer is correct

The correct answer is B. (12). All (3) elements of (B) are even and pair with (4) elements of (A). Hence \(4\times3=12\) pairs are formed.

Step 3

Exam Tip

(B) के सभी (3) अवयव सम हैं और (A) के (4) अवयवों से जुड़ते हैं। इसलिए \(4\times3=12\) युग्म बनेंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) और \(B=\{2,4,6\}\) हैं, तो \(A\times B\) में कितने युग्म ((x,y)) ऐसे हैं कि (y) सम है? / If \(A=\{1,2,3,4\}\) and \(B=\{2,4,6\}\), how many pairs ((x,y)) in \(A\times B\) have (y) even?

Correct Answer: B. (12). Explanation: (B) के सभी (3) अवयव सम हैं और (A) के (4) अवयवों से जुड़ते हैं। इसलिए \(4\times3=12\) युग्म बनेंगे। / All (3) elements of (B) are even and pair with (4) elements of (A). Hence \(4\times3=12\) pairs are formed.

Which concept should I revise for this Mathematics MCQ?

All (3) elements of (B) are even and pair with (4) elements of (A). Hence \(4\times3=12\) pairs are formed.

What exam hint can help solve this Mathematics question?

(B) के सभी (3) अवयव सम हैं और (A) के (4) अवयवों से जुड़ते हैं। इसलिए \(4\times3=12\) युग्म बनेंगे।