BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Numbers

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 283
Joined: Sun Jun 23, 2013 11:56 pmFollowed by: 26 members
Location: Bangalore, India
Thanked: 97 times
GMAT Score:750

by ganeshrkamath » Wed Nov 20, 2013 3:08 am
kop wrote:What are the first six digits of 1/9+1/99+1/999, if expressed as a decimal?

a .122123
b .122213
c .123123
d .123212
e .123321
a/9 = 0.aaaaa...
ab/99 = 0.abababab...
abc/999 = 0.abcabcabc...
(a,b,c are digits)

1/9 = 0.111111...
01/99 = 0.010101...
001/999 = 0.001001...
Sum = 0.122213...

Choose B

Cheers
Every job is a self-portrait of the person who did it. Autograph your work with excellence.

Kelley School of Business (Class of 2016)
GMAT Score: 750 V40 Q51 AWA 5 IR 8
https://www.beatthegmat.com/first-attemp ... tml#688494
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 447
Joined: Fri Nov 08, 2013 7:25 amFollowed by: 1 member
Thanked: 25 times

by Mathsbuddy » Fri Nov 22, 2013 2:33 am
In the answer list the 1st 2 digits are all the same, so we only need to consider the 3rd and 4th digits to identify which is correct.

Knowing:

1/9 -> decimal positions of 1 are multiples of 1
1/99 -> decimal positions of 1 are multiples of 2
1/999 -> decimal positions of 1 are multiples of 3

gives us (3rd, 4th) digits of (1+1, 1+1) = (2,2)

Therefore answer B.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Fri Nov 22, 2013 3:34 am
kop wrote:What are the first six digits of 1/9+1/99+1/999, if expressed as a decimal?

a .122123
b .122213
c .123123
d .123212
e .123321
1/9 =0 .111111

1/99 = 0.010101

1/999 = 0.001001

ADD

3 in the last place, eliminate D and E, 1 in fifth place, eliminate A and C. We can stop and take the leftover.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Sat Nov 23, 2013 12:48 am
There must be something wrong with this website, a little edit work in post creates two posts when submitted.


:o
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 106
Joined: Sat Mar 02, 2013 4:29 pm
Thanked: 4 times

by buoyant » Sat Nov 23, 2013 8:44 pm
Mathsbuddy wrote:In the answer list the 1st 2 digits are all the same, so we only need to consider the 3rd and 4th digits to identify which is correct.

Knowing:

1/9 -> decimal positions of 1 are multiples of 1
1/99 -> decimal positions of 1 are multiples of 2
1/999 -> decimal positions of 1 are multiples of 3

gives us (3rd, 4th) digits of (1+1, 1+1) = (2,2)

Therefore answer B.
Hi,
Can you elaborate more on your steps please ?

More on "decimal positions of 1 are multiples of 1"etc.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
Location: Palo Alto, CA
Thanked: 2867 times
GMAT Score:800

by [email protected] » Sat Nov 23, 2013 9:03 pm
Hi buoyant,

Mathsbuddy is referring to the patterns that exist in those 3 fractions:

1/9 = .111111
2/9 = .222222
3/9 = .333333
etc.

1/99 = .010101
2/99 = .020202
3/99 = .030303
11/99 = .111111
etc.

1/999 = .001001
2/999 = .002002
45/999 = .045045
217/999 = .217217
etc.

By adding up 1/9 + 1/99 + 1/999 =
.111111 + .010101 + .001001

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1