GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Remainder when 3^8n+3 + 5 is divided by 10
[#permalink]
01 Apr 2025, 15:27
01 Apr 2025, 15:27
Expert Reply
1
Bookmarks
00:00
Question Stats:
51% (01:56) correct
48% (01:33) wrong based on 43 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
Remainder when \(3^{8n+3} + 5\) is divided by 10 |
Remainder when \(7^{8n+3} + 5\) is divided by 10 |
- Part of the project: GRE - Skill Builder Project II Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: Remainder when 3^8n+3 + 5 is divided by 10
[#permalink]
05 Apr 2025, 04:15
05 Apr 2025, 04:15
Expert Reply
1
Bookmarks
For all values of $n$, the units digit of $\(3^{8 n+3}\)$ is 7 .
The units digit of $\(3^{8 n+3}+5\)$ is 2 and therefore, when $\(3^{8 n+3}+5\)$ is divided by 10 , it leaves a remainder 2 .
Therefore, Column $\(\mathrm{A}=2\)$. For all values of $n$, the units digit of $\(7^{8 n+3}\)$ is 3 . So, the units digit of $\(7^{8 n+3}+5\)$ is 8 and therefore, when it is divided by 10 , it leaves a remainder 8 .
Therefore, Column $\(\mathrm{B}=8\)$.
Hence, Column B $>$ Column A.
Thus, the correct answer is $B$.
The units digit of $\(3^{8 n+3}+5\)$ is 2 and therefore, when $\(3^{8 n+3}+5\)$ is divided by 10 , it leaves a remainder 2 .
Therefore, Column $\(\mathrm{A}=2\)$. For all values of $n$, the units digit of $\(7^{8 n+3}\)$ is 3 . So, the units digit of $\(7^{8 n+3}+5\)$ is 8 and therefore, when it is divided by 10 , it leaves a remainder 8 .
Therefore, Column $\(\mathrm{B}=8\)$.
Hence, Column B $>$ Column A.
Thus, the correct answer is $B$.
Re: Remainder when 3^8n+3 + 5 is divided by 10
[#permalink]
17 Aug 2026, 06:50
17 Aug 2026, 06:50
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
