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If (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{3}), what is the equivalence class of (1)?यदि (A={1,2,3,4,5,6}) पर (aRb) यदि (a\equiv b \pmod{3}), तो (1) का समतुल्यता वर्ग कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,4})({1,4})
Step 1: Dividing (1) by (3) gives remainder (1). Step 2: Dividing (4) by (3) also gives remainder (1). Step 3: Therefore, the class of (1) is ({1,4}).चरण 1: (3) से भाग देने पर (1) का शेष (1) है। चरण 2: (4) का भी (3) से भाग देने पर शेष (1) है। चरण 3: इसलिए (1) का वर्ग ({1,4}) है।
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