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 →

Number Properties

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 777
Joined: Fri Jan 01, 2010 4:02 amFollowed by: 47 members
Location: Mumbai, India
Thanked: 117 times
by komal » Wed Jun 16, 2010 1:13 am
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

My Problem : I could not fully understand the question itself !!. Any help will be greatly appreciated.

OA C Source : Kaplan Online
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members
Thanked: 215 times

by kvcpk » Wed Jun 16, 2010 1:26 am
let a and b be 2m+1,2n+1

(2m+1)-(2n+1)>7
2m-2n>7

even number less than b is 2n

diff = 2m+1 -(2n)
diff-1 = 2m-2n

diff-1 >7
diff>8

therefore diff is 9

hope this helps!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 294
Joined: Wed May 05, 2010 4:01 am
Location: india
Thanked: 57 times

by amising6 » Wed Jun 16, 2010 2:26 am
good explaination given by kvcpk
but let me try by plugging some number
a-b>7
so the minimum value which a can take will be 9 and in that case b will take 1
now an even number less than b will be 0
so minimum possible positive difference will be
9-0=9
answer will be 9
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1