Discussion
Find the unit digit of \(3^{57}\).
Answer: B
The power cycle of the unit digit for 3 is (3, 9, 7, 1), with a length of 4. We find the remainder of the power \(57\) when divided by 4. \(57 \div 4 = 14\) with a remainder of 1. The required unit digit is the 1st in the cycle, which is 3.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development