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On the set ({0,1,2}), (a*b) is the remainder of (a+b) on division by (3). Which is the identity element?समुच्चय ({0,1,2}) पर (a*b) को (a+b) का (3) से शेषफल माना गया है। तत्समक अवयव कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0)(0)
Step 1: In remainder-based addition, adding (0) does not change the element. Step 2: The remainder of (a*0) is (a). Step 3: So (0) is the identity element.चरण 1: शेषफल वाले जोड़ में (0) जोड़ने से तत्व नहीं बदलता। चरण 2: (a*0) का शेषफल (a) ही आता है। चरण 3: इसलिए (0) तत्समक अवयव है।
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