Question
Download Solution PDF5 : 6 অনুপাতের উভয় পদ থেকে ক্ষুদ্রতম পূর্ণসংখ্যাটি বিয়োগ করলে যে অনুপাত পাওয়া যাবে তা 17 : 22 এর চেয়ে কম হবে। সেই ক্ষুদ্রতম পূর্ণসংখ্যাটি নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
প্রাথমিক অনুপাত = 5 ∶ 6
চূড়ান্ত অনুপাত 17 ∶ 22 এর চেয়ে কম হওয়া উচিত।
গণনা:
ধরি, বিয়োগ করার জন্য প্রয়োজনীয় ক্ষুদ্রতম পূর্ণসংখ্যাটি হল a
প্রশ্ন অনুসারে,
(5 - a)/(6 - a) < 17/22
⇒ 5 × 22 - 22a < 17 × 6 - 17a
⇒ 110 - 22a < 102 - 17a
⇒ 110 - 102 < - 17a + 22a
⇒ 8 < 5a
⇒ 8/5 = 1.6 < a
∴ ক্ষুদ্রতম পূর্ণসংখ্যাটি 2 হতে হবে।
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