• FREE GMAT Exam
Know how you'd score today for $0 Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

## If d represents the hundredths

tagged by: Brent@GMATPrepNow

This topic has 1 expert reply and 0 member replies
BTGmoderatorDC Moderator
Joined
07 Sep 2017
Posted:
710 messages
Followed by:
4 members

#### If d represents the hundredths

Wed Dec 06, 2017 4:23 am
If d represents the hundredths digit and e represents the thousandths digit in the decimal 0.4de, what is the value of this decimal rounded to the nearest tenth?

(1) d - e is equal to a positive perfect square.
(2) âˆšd > e^2

OA E

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11499 messages
Followed by:
1229 members
5254
GMAT Score:
770
Wed Dec 06, 2017 7:15 am
Quote:
If d represents the hundredths digit and e represents the thousandths digit in the decimal 0.4de, what is the value of this decimal rounded to nearest tenth?

(1) d-e is equal to a positive perfect square.
(2) âˆšd > eÂ²
Target question: What is the value of this decimal rounded up to nearest tenth?

Statement 1: d-e is equal to a positive perfect square.
This statement doesn't FEEL sufficient, so I'm going to TEST some values.
There are several values of d and e that satisfy statement 1. Here are two:
Case a: d = 5 and e = 1, in which case d - e = 5 - 1 = 4, and 4 is a perfect square. In this case, when we round 0.451 to the nearest tenth, we get 0.5
Case b: d = 2 and e = 1, in which case d - e = 2 - 1 = 1, and 1 is a perfect square. In this case, when we round 0.421 to the nearest tenth, we get 0.4
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/data-sufficiency-when-plug-values

Statement 2: âˆšd > eÂ²
This one doesn't feel sufficient either, so let's test some values.
There are several values of d and e that satisfy statement 2. Here are two:
Case a: d = 5 and e = 1, in which case âˆš5 > 1Â². In this case, when we round 0.451 to the nearest tenth, we get 0.5
Case b: d = 2 and e = 1, in which case âˆš2 > 1Â².. In this case, when we round 0.421 to the nearest tenth, we get 0.4
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Notice that the numbers we used above satisfy BOTH statements. We have:
Case a: d = 5 and e = 1. In this case, when we round 0.451 to the nearest tenth, we get 0.5
Case b: d = 2 and e = 1. In this case, when we round 0.421 to the nearest tenth, we get 0.4
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent

_________________
Brent Hanneson â€“ Founder of GMATPrepNow.com
Use our video course along with

Check out the online reviews of our course
Come see all of our free resources

GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months!

### Top First Responders*

1 GMATGuruNY 65 first replies
2 Rich.C@EMPOWERgma... 46 first replies
3 Brent@GMATPrepNow 41 first replies
4 Jay@ManhattanReview 24 first replies
5 Terry@ThePrinceto... 10 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 GMATGuruNY

The Princeton Review Teacher

129 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

114 posts
3 Jeff@TargetTestPrep

Target Test Prep

98 posts
4 Scott@TargetTestPrep

Target Test Prep

92 posts
5 Max@Math Revolution

Math Revolution

89 posts
See More Top Beat The GMAT Experts