Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

integers

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 261
Joined: Wed Mar 31, 2010 8:37 pmFollowed by: 3 members
Location: Varanasi
Thanked: 11 times
by ankur.agrawal » Fri Sep 03, 2010 1:52 pm
If n is a positive integer, what is the remainder when 3^8n+3 + 2 is divided by 5?
Top
Join the discussion
Source: — Problem Solving |
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Fri Sep 03, 2010 3:11 pm

by gmat083 » Fri Sep 03, 2010 3:16 pm
ankur.agrawal wrote:If n is a positive integer, what is the remainder when 3^8n+3 + 2 is divided by 5?
answer is 3
Top
Join the discussion
User avatar
Master | Next Rank: 500 Posts
Posts: 158
Joined: Wed Jun 16, 2010 8:21 amFollowed by: 1 member
Thanked: 13 times

by rohit_gmat » Fri Sep 03, 2010 11:23 pm
sorry the question is not clear.
Is it 3^(8n + 3 +2) or something else?
What are the Answer choices? Whats the source?
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 345
Joined: Wed Mar 18, 2009 6:53 pm
Location: Sao Paulo-Brazil
Thanked: 12 times
GMAT Score:660

by shibal » Sat Sep 04, 2010 5:01 am
ankur.agrawal wrote:If n is a positive integer, what is the remainder when 3^8n+3 + 2 is divided by 5?
IMO: 3

patterns for 3 squared is: 3,9,7,1.....

so by plugging in # we can find the pattern. for n=1 we'll have 3^13. going back to pattern i just mentioned, u'll find out that the 13th pattern is 3.
plug in 2; it'll output 3^21. go back to pattern and u'll find out once again that the 21st pattern is also 3....

OA?
Top
Join the discussion
User avatar
Community Manager
Posts: 1048
Joined: Mon Aug 17, 2009 3:26 amFollowed by: 27 members
Location: India
Thanked: 51 times
GMAT Score:670

by arora007 » Sat Sep 04, 2010 11:51 am
Guys have a look at this flash card...
https://www.beatthegmat.com/papgust-s-gm ... tml#259476

Unit's place that has digits - 2/3/7/8

Then, unit's digit repeats every 4th value. Divide the power (or index) by 4.

After dividing,
If remainder is 1, unit digit of number raised to the power 1.
If remainder is 2, unit digit of number raised to the power 2.
If remainder is 3, unit digit of number raised to the power 3.
If remainder is 0, unit digit of number raised to the power 4.

effectively, three is raised to three and then two is added,

so (27+2)/5 the remainder should be 4.....whatsay??
https://www.skiponemeal.org/
https://twitter.com/skiponemeal
Few things are impossible to diligence & skill.Great works are performed not by strength,but by perseverance

pm me if you find junk/spam/abusive language, Lets keep our community clean!!
Top
Join the discussion