Question
Download Solution PDFThe value of \({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)
Concept used:
(a + b) = (a3 + b3)/a2 - ab + b2
Calculation:
\({{428 \times 428 \times 428 + 348 \times 348 \times 348} \over 428 \times 428 - 428 \times 348 + 348 \times 348}\)
Using (a + b) = (a3 + b3)/a2 - ab + b2
⇒ \(\frac{428^3+348^3}{428^2- 428\times 348 + 348^2}=428+348=776\)
∴ Option 1 is the correct answer.
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> 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.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.