यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,4,8\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(b=2^a\) है?

If \(A=\{1,2,3,4\}\) and \(B=\{1,2,4,8\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(b=2^a\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

For (a=1,2,3), we get (b=2,4,8), but for (a=4), \(16\notin B\). Hence there are (3) pairs.

Step 2

Why this answer is correct

The correct answer is B. (3). For (a=1,2,3), we get (b=2,4,8), but for (a=4), \(16\notin B\). Hence there are (3) pairs.

Step 3

Exam Tip

(a=1,2,3) से (b=2,4,8) मिलते हैं, पर (a=4) से \(16\notin B\)। इसलिए (3) युग्म हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,4,8\}\), तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(b=2^a\) है? / If \(A=\{1,2,3,4\}\) and \(B=\{1,2,4,8\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(b=2^a\)?

Correct Answer: B. (3). Explanation: (a=1,2,3) से (b=2,4,8) मिलते हैं, पर (a=4) से \(16\notin B\)। इसलिए (3) युग्म हैं। / For (a=1,2,3), we get (b=2,4,8), but for (a=4), \(16\notin B\). Hence there are (3) pairs.

Which concept should I revise for this Mathematics MCQ?

For (a=1,2,3), we get (b=2,4,8), but for (a=4), \(16\notin B\). Hence there are (3) pairs.

What exam hint can help solve this Mathematics question?

(a=1,2,3) से (b=2,4,8) मिलते हैं, पर (a=4) से \(16\notin B\)। इसलिए (3) युग्म हैं।