यदि \(A=\{1,2,3,4,5,6\}\) और (R={(a,b):\(a\equiv b \pmod{3}\)}) है तो कितने तुल्यता वर्ग बनेंगे?

If \(A=\{1,2,3,4,5,6\}\) and (R={(a,b):\(a\equiv b \pmod{3}\)}), how many equivalence classes are formed?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

Modulo (3) gives the remainders (0,1,2). Hence (3) equivalence classes are formed.

Step 2

Why this answer is correct

The correct answer is B. (3). Modulo (3) gives the remainders (0,1,2). Hence (3) equivalence classes are formed.

Step 3

Exam Tip

मापांक (3) के अनुसार शेषफल (0,1,2) होते हैं। इसलिए (3) तुल्यता वर्ग बनते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) और (R={(a,b):\(a\equiv b \pmod{3}\)}) है तो कितने तुल्यता वर्ग बनेंगे? / If \(A=\{1,2,3,4,5,6\}\) and (R={(a,b):\(a\equiv b \pmod{3}\)}), how many equivalence classes are formed?

Correct Answer: B. (3). Explanation: मापांक (3) के अनुसार शेषफल (0,1,2) होते हैं। इसलिए (3) तुल्यता वर्ग बनते हैं। / Modulo (3) gives the remainders (0,1,2). Hence (3) equivalence classes are formed.

Which concept should I revise for this Mathematics MCQ?

Modulo (3) gives the remainders (0,1,2). Hence (3) equivalence classes are formed.

What exam hint can help solve this Mathematics question?

मापांक (3) के अनुसार शेषफल (0,1,2) होते हैं। इसलिए (3) तुल्यता वर्ग बनते हैं।