Question
Download Solution PDFনিম্নলিখিত সেটের সংখ্যাগুলির মতো একইরকম সম্পর্কে আবদ্ধ সংখ্যা সেটটি নির্বাচন করুন।
(দ্রষ্টব্য: ক্রিয়াগুলি সংখ্যাগুলিকে এর উপাদান অঙ্কে না ভেঙে সম্পূর্ণ সংখ্যার উপর সঞ্চালিত করা উচিত।)
(3, 14, 1)
(4, 36, 2)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFযুক্তি : (1ম সংখ্যার ঘন + 3য় সংখ্যার ঘন) / 2 = 2য় সংখ্যা
প্রদত্ত :
-
(3, 14, 1)
⇒\({(3)^3 + (1)^3 \over 2}\) = 14
⇒\({27 + 1 \over 2}\) = 14
⇒\({28 \over 2}\) = 14
⇒14 = 14 (বামপক্ষ = ডানপক্ষ)
- (4, 36, 2)
⇒\({(4)^3 + (2)^3 \over 2}\) = 36
⇒\({64 + 8 \over 2}\) = 36
⇒\({72 \over 2}\) = 36
⇒36 = 36 (বামপক্ষ = ডানপক্ষ)
সুতরাং,
- বিকল্প - (1) : (8, 12, 2)
⇒\({(8)^3 + (2)^3 \over 2}\) = 12
⇒\({512 + 8 \over 2}\) = 12
⇒\({520 \over 2}\) = 12
⇒260 ≠ 12 (বামপক্ষ ≠ ডানপক্ষ)
- বিকল্প - (2) : (5, 81, 4)
⇒\({(5)^3 + (4)^3 \over 2}\) = 81
⇒\({125 + 64 \over 2}\) = 81
⇒\({189 \over 2}\) = 81
⇒94.5 ≠ 81 (বামপক্ষ ≠ ডানপক্ষ)
- বিকল্প - (3) : (7, 40, 3)
⇒\({(7)^3 + (3)^3 \over 2}\) = 40
⇒\({343 + 27 \over 2}\) = 40
⇒\({370 \over 2}\) = 40
⇒185 ≠ 40 (বামপক্ষ ≠ ডানপক্ষ)
- বিকল্প - (4) : (8, 260, 2)
⇒\({(8)^3 + (2)^3 \over 2}\) = 260
⇒\({512 + 8 \over 2}\) = 260
⇒\({520 \over 2}\) = 260
⇒260 = 260 (বামপক্ষ = ডানপক্ষ)
সুতরাং, "বিকল্প - (4)" সঠিক উত্তর।
Last updated on Jul 2, 2025
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