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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 inverse of (2)?समुच्चय ({0,1,2}) पर (a*b) को (a+b) का (3) से शेषफल माना गया है। (2) का प्रतिलोम कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1)(1)
Step 1: The identity element is (0). Step 2: (2+1=3), and the remainder on division by (3) is (0). Step 3: Therefore the inverse of (2) is (1).चरण 1: तत्समक अवयव (0) है। चरण 2: (2+1=3) और (3) को (3) से भाग देने पर शेषफल (0) आता है। चरण 3: इसलिए (2) का प्रतिलोम (1) है।
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