• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If a and b are odd integers such that a - b > 7, ##### This topic has 2 expert replies and 1 member reply ## If a and b are odd integers such that a - b > 7, If a and b are odd integers such that a - b > 7, what is the smallest possible positive difference between a and an even number less than b? A) 7 B) 8 C) 9 D) 10 E) 11 OA:C Master | Next Rank: 500 Posts Joined 21 Mar 2011 Posted: 335 messages Followed by: 2 members Upvotes: 37 Target GMAT Score: 650 We are starting from 1 as we want the lowest possible value. But the option is red is not possible as we need to have an even number less than B. The next option after that is A = 11 B = 3 So 11 - 2(an even integer less than B) = 9 Answer is C Attachments This post contains an attachment. You must be logged in to download/view this file. Please login or register as a user. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 NandishSS wrote: If a and b are odd integers such that a - b > 7, what is the smallest possible positive difference between a and an even number less than b? A) 7 B) 8 C) 9 D) 10 E) 11 OA:C You can also a little logic and the answer choices. If a is ODD and we subtract an EVEN, we'll get an ODD result. (ODD - EVEN = ODD.) So we know the answer is odd. Eliminate B and D. We know that a - b > 7, so if we were to subtract a number smaller than b, the difference would have to be even bigger than 7. Eliminate A. So we just want the smallest odd remaining, which would be C, 9. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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

GMAT Instructor
Joined
12 Sep 2012
Posted:
2635 messages
Followed by:
116 members
625
Target GMAT Score:
V51
GMAT Score:
780
Let's say that c is the nearest even number to b that is less than b.

Then we know c = b - 1.

We want a - c.

Since a - b > 7, the smallest possible value of (a - b) = 8.

Since c = (b - 1), the smallest possible value of a - c = (a - (b - 1)) = (a - b) + 1 = 9.

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!
• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

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

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• 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 • Magoosh Study with Magoosh GMAT prep 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 • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

### Top First Responders*

1 Jay@ManhattanReview 70 first replies
2 Brent@GMATPrepNow 67 first replies
3 GMATGuruNY 41 first replies
4 Ian Stewart 27 first replies
5 Scott@TargetTestPrep 16 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

221 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

93 posts
3 Max@Math Revolution

Math Revolution

89 posts
4 Jay@ManhattanReview

Manhattan Review

73 posts
5 GMATGuruNY

The Princeton Review Teacher

64 posts
See More Top Beat The GMAT Experts