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

Number theory

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Sun Jul 26, 2009 9:54 pm
Location: Hyderabad
by Gopi » Mon Jul 27, 2009 1:03 am
Hi All,

This is my first post, please let me know short-cut for this problem,


What is the remainder of the division of 14414*14416*14418 by 14?

A) 8
B) 3
C) 12
D) 10
E) 6



Thanks in advance
Top
Join the discussion
Source: — Problem Solving |
Legendary Member
Posts: 708
Joined: Sun Jun 01, 2008 4:59 amFollowed by: 1 member
Location: USA
Thanked: 13 times

by niraj_a » Mon Jul 27, 2009 6:35 am
is it D?

i didn't have scratch paper but i basically multiplied out the very last numbers since they are the only ones that change.

4 * 6 * 8 = a sequence of 24. 24/14 = 10 remainder.

if i had scratch paper, i probably would have multiplied out 14*16*18 and seen how that would have turned out.
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 379
Joined: Wed Jun 03, 2009 3:05 amFollowed by: 1 member
Thanked: 19 times
GMAT Score:690

by sreak1089 » Mon Jul 27, 2009 6:46 am
4 * 6 * 8 = 192 / 14 gives remainder 10. But I am not sure if this method is correct to solve this problem.
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 113
Joined: Thu Jul 16, 2009 11:23 am
Thanked: 15 times
GMAT Score:730

by prindaroy » Mon Jul 27, 2009 8:51 am
your method is correct but i don't think answer is.

14414/14 = remainder 8

14416/14 = remainder 10

14418/14 = remainder 12

so 8*10*12 = 960/14 = remainder 8

so A should be the answer.
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 131
Joined: Wed May 06, 2009 1:01 pm
Location: Chicago
Thanked: 7 times

by vinayakdl » Mon Jul 27, 2009 10:01 am
Yes 8 is the answer...prindaroy's approach is correct.

Vinayak
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 148
Joined: Wed Jun 03, 2009 8:04 pmFollowed by: 1 member
Thanked: 18 times

by ghacker » Mon Jul 27, 2009 1:20 pm
14420 is divisible by 14 so is 14406 then we can write 14406 as amultiple of 14

That is 14406 = 14K for some integer K

14414*14416*14418 /14 =(14K+8)(14K+10)(14K+12)/14


= (14(z)+8*10*12)/14 = Z+8*10*12/14

so the remainder is 8
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 111
Joined: Thu Jan 31, 2008 4:05 pmFollowed by: 1 member
Thanked: 18 times

by xilef » Tue Jul 28, 2009 4:19 pm
what about taking the last 2 digits:

14/14 no remainder

16/14 remainder 2

18/14 remainder 4


2*4 = 8
Top
Join the discussion
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Sun Jul 26, 2009 9:54 pm
Location: Hyderabad

by Gopi » Sat Aug 08, 2009 12:08 am
prindaroy wrote:your method is correct but i don't think answer is.

14414/14 = remainder 8

14416/14 = remainder 10

14418/14 = remainder 12

so 8*10*12 = 960/14 = remainder 8

so A should be the answer.

Yes, The answer is A (8) and Thanks for reply
Top
Join the discussion