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On integers, (aRb) if (a \equiv b \pmod{3}). What type of relation is (R)?पूर्णांकों पर (aRb) तभी जब (a \equiv b \pmod{3}), तो (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Transitiveसंक्रमण
Step 1: If (a) and (b) have the same remainder, and (b) and (c) have the same remainder, then (a) and (c) also have the same remainder. Step 2: Hence (a \equiv c \pmod{3}). Step 3: Congruence relations are generally transitive.चरण 1: यदि (a) और (b) का शेष समान है तथा (b) और (c) का शेष समान है, तो (a) और (c) का शेष भी समान होगा। चरण 2: इसलिए (a \equiv c \pmod{3}) होगा। चरण 3: सर्वसमता वाले संबंध सामान्यतः संक्रमण होते हैं।
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