यदि (R) एक संबंध है और (\operatorname{Dom}(R)={2,3,5}), (\operatorname{Ran}(R)={7,11}), तो (R) कम से कम कितने युग्मों वाला हो सकता है?

If (R) is a relation with (\operatorname{Dom}(R)={2,3,5}) and (\operatorname{Ran}(R)={7,11}), what is the minimum possible number of pairs in (R)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

All three domain elements must appear in some pair, so at least (3) pairs are needed. The (2) range elements can be covered within these (3) pairs.

Step 2

Why this answer is correct

The correct answer is B. (3). All three domain elements must appear in some pair, so at least (3) pairs are needed. The (2) range elements can be covered within these (3) pairs.

Step 3

Exam Tip

तीनों domain अवयवों को किसी न किसी युग्म में आना होगा, इसलिए कम से कम (3) युग्म चाहिए। range के (2) अवयव इन्हीं (3) युग्मों में कवर किए जा सकते हैं।

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यदि (R) एक संबंध है और (\operatorname{Dom}(R)={2,3,5}), (\operatorname{Ran}(R)={7,11}), तो (R) कम से कम कितने युग्मों वाला हो सकता है? / If (R) is a relation with (\operatorname{Dom}(R)={2,3,5}) and (\operatorname{Ran}(R)={7,11}), what is the minimum possible number of pairs in (R)?

Correct Answer: B. (3). Explanation: तीनों domain अवयवों को किसी न किसी युग्म में आना होगा, इसलिए कम से कम (3) युग्म चाहिए। range के (2) अवयव इन्हीं (3) युग्मों में कवर किए जा सकते हैं। / All three domain elements must appear in some pair, so at least (3) pairs are needed. The (2) range elements can be covered within these (3) pairs.

Which concept should I revise for this Mathematics MCQ?

All three domain elements must appear in some pair, so at least (3) pairs are needed. The (2) range elements can be covered within these (3) pairs.

What exam hint can help solve this Mathematics question?

तीनों domain अवयवों को किसी न किसी युग्म में आना होगा, इसलिए कम से कम (3) युग्म चाहिए। range के (2) अवयव इन्हीं (3) युग्मों में कवर किए जा सकते हैं।