Question
Download Solution PDFWhen every even power of every odd integer (greater than 1) is divided by 8, what is the remainder ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Even Number: Any number that can be exactly divided by 2 is called an even number. Even numbers always end up with the last digit as 0, 2, 4, 6, or 8.
Calculation:
Let's assume the odd number = 7
Even power of 7 = 72 = 49
49 = 8 × 6 + 1
Similarly, we can also check for another value.
∴ The correct answer is 1.
Last updated on May 29, 2025
-> The UPSC CDS 2 Notification has been released at upsconline.gov.in. for 453 vacancies.
-> Candidates can apply online from 28th May to 17th June 2025.
-> The CDS 2 Exam will be held on 14th September 2025.
-> Attempt UPSC CDS Free Mock Test to boost your score.
-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.
-> Refer to the CDS Previous Year Papers to enhance your preparation.