Question
Download Solution PDFx3331 সংখ্যাটি 11 দ্বারা বিভাজ্য হলে, x এর স্বকীয় মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
x3331
অনুসৃত ধারণা:
যদি একটি সংখ্যার বিকল্প অঙ্কের যোগফলের পার্থক্য 11 দ্বারা বিভাজ্য হয়, তাহলে সেই সংখ্যাটি 11 দ্বারা সম্পূর্ণরূপে বিভাজ্য।
গণনা:
x3331 এর বিকল্প স্থানে অঙ্কের যোগফলের মধ্যে পার্থক্য
⇒ (x + 3 + 1) - (3 + 3)
⇒ x + 4 - 6
⇒ x - 2
এখন, x শুধুমাত্র 2 হতে পারে যা (x - 2) = 0 তৈরি করে যা 11 দ্বারা বিভাজ্য। (∵ x 1 থেকে 9 পর্যন্ত যেকোনো পূর্ণসংখ্যা হতে পারে)
অতএব, x = 2
∴ x এর স্বকীয় মান হল 2
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