Question
Find the remainder when 5123 is divided by 8.
Solution
5 ≡ 5 (mod 8) 5² = 25 ≡ 1 (mod 8) Pattern: 5¹ ≡ 5 (mod 8) 5² ≡ 1 (mod 8) 5³ ≡ 5 (mod 8) 5⁴ ≡ 1 (mod 8) So odd powers ≡ 5, even powers ≡ 1 (mod 8) 123 is odd ⇒ 5123 ≡ 5 (mod 8) Remainder = 5
Which state won the boys' title at the 40th National Youth Basketball Championships 2025?
Which two entities signed an MoU to expand mutual fund distribution through the postal network?
Which major theme will be discussed in a Special Plenary Session at the 28th CSPOC?
Which of the following microfinance institutions was established in India at the time of independence?
How much investment has IFFCO made in nano fertiliser R&D and infrastructure since 2017?
Which of the following cities hosted the ‘Agro Tech India -Agri and Food Technology Fair’ in 2022?
- Who has been appointed Chairperson of the 23rd Law Commission of India?
The Life Insurance Corporation of India ( LIC ) purchased shares of Hindustan Unilever Limited at an average cost of __________ per share .
Which institute developed the open-sea cages used in the new marine fish farming project in the Andaman Sea?
Under which Indian legislation was TRF designated a terrorist organization in 2023?
Relevant for Exams:
