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If (A={2,3,4,5,6}) and (R={(a,b):\operatorname{lcm}(a,b)<6}), how many diagonal pairs are in (R)?यदि (A={2,3,4,5,6}) और (R={(a,b):\operatorname{lcm}(a,b)<6}) है, तो (R) में कितने विकर्ण युग्म हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 33
Step 1: On the diagonal, (\operatorname{lcm}(a,a)=a). Step 2: The condition is true when (a<6), so (a=2,3,4,5) work. Step 3: (a=6) fails, so there are (4) diagonal pairs.चरण 1: विकर्ण पर (\operatorname{lcm}(a,a)=a) होगा। चरण 2: (a<6) होने पर शर्त सत्य है, इसलिए (a=2,3,4,5) काम करेंगे। चरण 3: (a=6) असफल है, अतः (4) विकर्ण युग्म हैं।
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