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

Redeem

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.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 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
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
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
GMATOnDemand Start 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 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Numbers: If x2 < x and x is written as a terminating deci

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 15
Joined: Tue Jul 09, 2013 12:53 pm
Thanked: 1 times
by Yaj » Tue Sep 17, 2013 11:42 pm
Hi Guys,

Can anyone explain any way to approach this problem!

If x2 < x and x is written as a terminating decimal, does x have a nonzero hundredths digit?

(1) 10x is not an integer.

(2) 100x is an integer.

[spoiler]OA:C[/spoiler]

Thanks so much!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pmFollowed by: 34 members
Thanked: 448 times
GMAT Score:650

by theCodeToGMAT » Wed Sep 18, 2013 12:46 am
let X be _ _ . _ _ _ (assume it to be till thousandth digit; Question Stem doesn't tell anything)


Statement 1: 10x is not an integer
Consider values:
0.304 --> 10 (0.304) --> 3.04
0.314 --> 10 (0.314) --> 3.14
Hence, Insufficient

Statement 2: 100x is an integer; so our assumption is wrong.. the number is in fact _ _ . _ _ (till hundredth digit)
Consider Values
.30 --> 100(0.30) --> 30
.31 --> 100(0.31) --> 31
Hence, Insufficient


Combining,
Conclusion--> Number is two places after decimal; Confirmed _ _ . _ _
Now, since 10x is not a decimal.. so the Hundred digit cannot be "0"
i.e. .30 is not applicable.. since 10(0.30) = 3
So, Hundredth can be 1 to 9

hence, [C]


Yaj wrote:Hi Guys,

Can anyone explain any way to approach this problem!

If x2 < x and x is written as a terminating decimal, does x have a nonzero hundredths digit?

(1) 10x is not an integer.

(2) 100x is an integer.

[spoiler]OA:C[/spoiler]

Thanks so much!
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 » Wed Sep 18, 2013 1:43 am
Yaj wrote:Hi Guys,

Can anyone explain any way to approach this problem!

If x2 < x and x is written as a terminating decimal, does x have a nonzero hundredths digit?

(1) 10x is not an integer.

(2) 100x is an integer.

[spoiler]OA:C[/spoiler]

Thanks so much!
It's possible only when 0<x<1. If x may be written as a terminating decimal, then 0.25 is a good example for x, which does have a nonzero hundredths digit. Further, 0.2 and 0.205 are another good examples for x, which don't have a nonzero hundredths digit.

Our question reduces to, "Does x have a hundredths digit and it's not zero?"

I. 10x is an integer only when x is 0.1, 0.2, ... 0.9, and 10x is not an integer when x has two or more significant figures to the right of decimal point. According to this statement, x may assume 0.25, a nonzero hundredths digit, or x may assume 0.205, a zero in hundredths place. Insufficient

II. 100x is an integer only when x is of 0.2, 0.12 or 0.09 kind of forms, otherwise NOT. According to this statement, x may assume 0.12, a nonzero hundredths digit, or x may assume 0.2, a zero in hundredths place. Insufficient

When taken together, we find that x cannot be of the 0.2 or 0.205 types, but x can be of the 0.12 or 0.25 types; and [spoiler]YES! x does have a hundredths digit and it's not zero. Sufficient

Take C
[/spoiler]
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: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Wed Sep 18, 2013 1:42 pm
Yaj wrote:Hi Guys,

Can anyone explain any way to approach this problem!

If x2 < x and x is written as a terminating decimal, does x have a nonzero hundredths digit?

(1) 10x is not an integer.

(2) 100x is an integer.

[spoiler]OA:C[/spoiler]

Statement 1: 10x is not an integer
In other words, when the decimal point is moved ONE PLACE TO THE RIGHT, the result is a NON-INTEGER.
It's possible that x = .01, since moving the decimal point one place to the right yields non-integer 0.1.
In this case, the hundredths digit of x is nonzero.
It's possible that x = .001, since moving the decimal point one place to the right yields non-integer 0.01.
In this case, the hundredths digit of x is 0.
INSUFFICIENT.

Statement 2: 100x is an integer
In other words, when the decimal point is moved TWO PLACES TO THE RIGHT, the result is an INTEGER.
It's possible that x = .01, since moving the decimal point two places to the right yields 1.
In this case, x has a nonzero hundredths digit.
It's possible that x = .1, since moving the decimal point two places to the right yields 10.
In this case, x does not have a nonzero hundredths digit.
INSUFFICIENT.

Statements combined:
Since moving the decimal point one place to the right yields a NONINTEGER, while moving the decimal point two places to the right yields an INTEGER, x must be of the form 0.AB, where B is a NONZERO digit.
To illustrate:
0.01 --- one place to the right --> 0.1 --- two places to the right --> 1.
0.32 --- one place to the right --> 3.2 --- two places to the right --> 32.
0.15 --- one place to the right --> 1.5 --- two places to the right --> 15.
SUFFICIENT.

The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1