यदि \(A=\{1,2,3,4,5,6\}\) और (aRb) यदि \(a\equiv b \pmod{3}\), तो (1) का समतुल्यता वर्ग क्या है?

If \(A=\{1,2,3,4,5,6\}\) and (aRb) if \(a\equiv b \pmod{3}\), what is the equivalence class of (1)?

Explanation opens after your attempt
Correct Answer

A. ({1,4})

Step 1

Concept

The numbers with the same remainder as (1) modulo (3) are (1) and (4). Hence the class is ({1,4}).

Step 2

Why this answer is correct

The correct answer is A. ({1,4}). The numbers with the same remainder as (1) modulo (3) are (1) and (4). Hence the class is ({1,4}).

Step 3

Exam Tip

(1) से \( \pmod{3}\) में समान शेष देने वाली संख्याएं (1) और (4) हैं। इसलिए वर्ग ({1,4}) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) और (aRb) यदि \(a\equiv b \pmod{3}\), तो (1) का समतुल्यता वर्ग क्या है? / If \(A=\{1,2,3,4,5,6\}\) and (aRb) if \(a\equiv b \pmod{3}\), what is the equivalence class of (1)?

Correct Answer: A. ({1,4}). Explanation: (1) से \( \pmod{3}\) में समान शेष देने वाली संख्याएं (1) और (4) हैं। इसलिए वर्ग ({1,4}) है। / The numbers with the same remainder as (1) modulo (3) are (1) and (4). Hence the class is ({1,4}).

Which concept should I revise for this Mathematics MCQ?

The numbers with the same remainder as (1) modulo (3) are (1) and (4). Hence the class is ({1,4}).

What exam hint can help solve this Mathematics question?

(1) से \( \pmod{3}\) में समान शेष देने वाली संख्याएं (1) और (4) हैं। इसलिए वर्ग ({1,4}) है।