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On integers, (aRb) holds when (a-b) is divisible by both (6) and (10). This is the same as congruence modulo which number?पूर्णांकों पर (aRb) तब है जब (a-b) (6) और (10) दोनों से विभाज्य हो। यह किस मापांक के समान तुल्यता संबंध है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (30)(30)
Step 1: The difference must be divisible by both (6) and (10). Step 2: Such a difference is divisible by (\operatorname{lcm}(6,10)=30). Step 3: When two modulo conditions must hold together, use the least common multiple.चरण 1: अंतर (6) और (10) दोनों से विभाज्य होना चाहिए। चरण 2: ऐसी संख्या (\operatorname{lcm}(6,10)=30) से विभाज्य होगी। चरण 3: दो मापांक शर्तों को साथ मिलाते समय लघुत्तम समापवर्त्य लें।
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