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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
What is the remainder when [m]3^{32}[/m] is divided by 82?
[#permalink]
23 Feb 2020, 08:56
23 Feb 2020, 08:56
3
6
Bookmarks
00:00
Question Stats:
51% (01:44) correct
48% (01:40) wrong based on 62 sessions
Hide Show timer Statistics
What is the remainder when \(3^{32}\) is divided by \(82\)?
A) 0
B) 1
C) 8
D) 9
E) 81
A) 0
B) 1
C) 8
D) 9
E) 81
Re: What is the remainder when [m]3^{32}[/m] is divided by 82?
[#permalink]
23 Feb 2020, 11:11
23 Feb 2020, 11:11
Expert Reply
Good question but I am a witness of the eras: true I am old.
ten years ago a similar question for the gmat or gre was super tough. Now , if you do your home work, it is moderate
See the patter, no need fancy calculations
\(3^2=9\)
\(3^3=27\) (here what count for us is the unit digit = 7
\(3^4=..1\)
\(3^5=..3\)
\(3^6=..9\)
So the patter before to repeat itself is 9-7-1-3-9. We do need the 32nd position7 which is 7
7 divided by 2 (82 we care only of the unit digit) = 1
B is the answer
ten years ago a similar question for the gmat or gre was super tough. Now , if you do your home work, it is moderate
See the patter, no need fancy calculations
\(3^2=9\)
\(3^3=27\) (here what count for us is the unit digit = 7
\(3^4=..1\)
\(3^5=..3\)
\(3^6=..9\)
So the patter before to repeat itself is 9-7-1-3-9. We do need the 32nd position7 which is 7
7 divided by 2 (82 we care only of the unit digit) = 1
B is the answer
Re: What is the remainder when [m]3^{32}[/m] is divided by 82?
[#permalink]
23 Feb 2020, 11:17
23 Feb 2020, 11:17
Why 7 is divided by 2? please explain
