• Get 300+ Practice Questions

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

• 5 Day FREE Trial
Study Smarter, Not Harder

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

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

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

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

## If a and b are positive integers

This topic has 2 expert replies and 1 member reply
canbtg Senior | Next Rank: 100 Posts
Joined
11 Oct 2013
Posted:
46 messages
4

#### If a and b are positive integers

Mon Jun 29, 2015 3:48 am
If a and b are positive integers is a/b < 9/11?

A)a/b < 0.818

B)b/a > 1.223

oa

D

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

### GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2640 messages
Followed by:
113 members
625
Target GMAT Score:
V51
GMAT Score:
780
Mon Jun 29, 2015 4:12 pm
If we remember some of our common fractional to decimal conversions, we can use the fact that

1/11 = .09090909...

to determine that

9/11 = 9 * (1/11) = .81818181...

Since a/b < .818 < .81818181 = 9/11, we have a/b < 9/11, and S1 is sufficient.

We can use similar conversions for the second step. a/b < 9/11 if b/a > 11/9.

1/9 = .1111...., so 11/9 = 11 * (.1111...) = 1.222...

b/a > 1/223 > 1/222... = 11/9, so again this is sufficient.

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
Joined
25 May 2010
Posted:
13602 messages
Followed by:
1796 members
13060
GMAT Score:
790
Mon Jun 29, 2015 4:15 am
canbtg wrote:
If a and b are positive integers is a/b < 9/11?

A)a/b < 0.818

B)b/a > 1.223
Is a/b < 9/11?

9/11 = 0.8181...

Questions stem rephrased:
Is a/b < 0.8181?

Statement 1: a/b < 0.818
Since 0.818 < 0.8181, we get:
a/b < 0.818 < 0.8181
a/b < 0.8181.
SUFFICIENT.

Is a/b < 9/11?

Cross-multiplying, we get:
11a < 9b
11/9 < b/a
b/a > 11/9.

11/9 = 1.2222...

Question stem, rephrased:
Is b/a > 1.2222?

Statement 2: b/a > 1.223
Since 1.223 > 1.2222, we get:
b/a > 1.223 > 1.2222
b/a > 1.2222.
SUFFICIENT.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Available for tutoring in NYC and long-distance.

Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

### GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2640 messages
Followed by:
113 members
625
Target GMAT Score:
V51
GMAT Score:
780
Mon Jun 29, 2015 4:12 pm
If we remember some of our common fractional to decimal conversions, we can use the fact that

1/11 = .09090909...

to determine that

9/11 = 9 * (1/11) = .81818181...

Since a/b < .818 < .81818181 = 9/11, we have a/b < 9/11, and S1 is sufficient.

We can use similar conversions for the second step. a/b < 9/11 if b/a > 11/9.

1/9 = .1111...., so 11/9 = 11 * (.1111...) = 1.222...

b/a > 1/223 > 1/222... = 11/9, so again this is sufficient.

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### Best Conversation Starters

1 lheiannie07 120 topics
2 ardz24 65 topics
3 LUANDATO 63 topics
4 swerve 61 topics
5 AAPL 59 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

186 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

171 posts
3 Jeff@TargetTestPrep

Target Test Prep

147 posts
4 Rich.C@EMPOWERgma...

EMPOWERgmat

133 posts
5 GMATGuruNY

The Princeton Review Teacher

128 posts
See More Top Beat The GMAT Experts