Question
Download Solution PDFএকটি সংখ্যাকে যখন 7 দিয়ে ভাগ করা হয় তখন 4 অবশিষ্ট থাকে। একই সংখ্যার বর্গকে 7 দ্বারা ভাগ করলে কত অবশিষ্ট থাকবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
একটি সংখ্যাকে যখন 7 দিয়ে ভাগ করা হয় তখন 4 অবশিষ্ট থাকে
অনুসৃত ধারণা:
ভাজ্য = ভাজক × ভাগফল + ভাগশেষ
গণনা:
সংখ্যা এবং ভাগফলকে যথাক্রমে N এবং D ধরা যাক।
প্রশ্ন অনুযায়ী,
N = 7D + 4
⇒ N2 = (7D + 4)2
⇒ N2 = 49D2 + 56D + 16
⇒ N2 = 7(7D2 + 8D + 2) + 2
সুতরাং, 7(7D2 + 8D + 2) সম্পূর্ণরূপে 7 দ্বারা বিভাজ্য।
এখন, 2 অবশিষ্ট থাকে।
∴ ভাগশেষ হল 2
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.