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On (A={1,2,3,4}), (a*b) is the remainder when (ab) is divided by (5). What is the inverse of (2)?समुच्चय (A={1,2,3,4}) पर (a*b), (ab) को (5) से भाग देने पर प्राप्त शेष है। (2) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3)(3)
Step 1: In multiplication with remainders, the identity is (1). Step 2: For inverse (x) of (2), the remainder of (2x) on division by (5) must be (1). Step 3: (2\cdot3=6), whose remainder is (1), so the answer is (3).चरण 1: गुणन के शेष में तत्समक (1) है। चरण 2: (2) के प्रतिलोम (x) के लिए (2x) का (5) से शेष (1) होना चाहिए। चरण 3: (2\cdot3=6) और (6) का शेष (1) है, इसलिए उत्तर (3) है।
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