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.
What is the remainder when (9^2n+3)(5^n) is divided by 10
[#permalink]
01 Feb 2022, 05:57
01 Feb 2022, 05:57
00:00
Question Stats:
100% (01:15) correct
0% (00:00) wrong based on 3 sessions
Hide Show timer Statistics
What is the remainder when \((9^{2n+3})(5^n)\) is divided by 10, where \(n\) is a positive integer?
A. 1
B. 2
C. 4
D. 5
E. 8
Posted from my mobile device
A. 1
B. 2
C. 4
D. 5
E. 8
Posted from my mobile device
Re: What is the remainder when (9^2n+3)(5^n) is divided by 10
[#permalink]
01 Feb 2022, 06:44
01 Feb 2022, 06:44
1
Expert Reply
If you understand that any you do have a X number * a 5 number
The cycle of 9 is alternate 1 and 9
But no matter what you need to * for 5.
So the number will end always with a 5. Divided by 10 the reminder will be 5
D is the answer
The cycle of 9 is alternate 1 and 9
But no matter what you need to * for 5.
So the number will end always with a 5. Divided by 10 the reminder will be 5
D is the answer
gmatclubot
Re: What is the remainder when (9^2n+3)(5^n) is divided by 10 [#permalink]
01 Feb 2022, 06:44
Moderators:
