|
|
GMAT 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.
15 Feb 2016, 17:49
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
61% (01:45) correct
39%
(01:53)
wrong
based on 197
sessions
History
Date
Time
Result
Not Attempted Yet
If k is a non-negative integer, what is the last digit of \(4567817^k\) ?
(1) k = 8n+1 where n is an integer
(2) The last digit of \(4567817^{k+4}\) is 7
(1) k = 8n+1 where n is an integer
(2) The last digit of \(4567817^{k+4}\) is 7
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
15 Feb 2016, 19:23
Kudos
Bookmarks
TeamGMATIFY
Hi,
rule of repetition
every unit digit repeats after every 2 power or 4 power..
0,1,5,6, if are last digits, the cyclicity will be continuous..
4,9 will have cyclicity after every two powers..
2,3,7,8 will have it after every four powers..
lets see the Q..
here unit digit is 7...
units dihgit = 7,9,3,1,7,9,6,3....
power is k..
if we know k, we will get the final units digit..
lets check the statements..
(1) k = 8n+1 where n is an integer
we know here that it is one more than the multiple of 4..
so last digit will be 7..
suff
(2) The last digit of \(4567817^{k+4}\) is 7
last digit of k will be same as k+4..
suff
D
10 Jan 2026, 15:28
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
