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

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

the special property of even odd integer and non integer

Expert replies
by Redhorsep » Sun Aug 07, 2011 7:36 am
Hi,

This question pops up when I try to recreate a question on my own based on the official guide problem (this is what MGMAT recommend you to do to stimulate your creativity lol):

OG problem: If m is an integer, is m odd?
1) m/2 is NOT an even integer (turns out this is insufficient)

So I recreated the statement as: m/2 is NOT an odd integer

(I believe this is sufficient, because if that's the case, m/2 could only be even integer or non-integer, but if the result is a non-integer, then m wouldn't be an integer in the first case, thus m/2 must be an even integer and m must be an even integer)

Please help me answer this even/odd integer general rule question, it would be nice if you can show me some examples to demonstrate the logic behind this nature, thanks!
Join the discussion
Source: — Data Sufficiency |

by goalevan » Sun Aug 07, 2011 2:29 pm
This would not be sufficient either, since m could still take either an even or odd value.

1) m/2 is NOT an odd integer

m/2 = k, or m = 2k, where k is not an odd integer. It is important to understand that k is not necessarily an integer at all.

Think of a few values of k that are either even integers or non-integers:

Even:
k=2, m=4
k=6, m=12
k=14, m=28

We can generalize that for an even integer k, m will always be a multiple of 2 and thus even because m = 2k. In fact, any integer k would make m even.

But, if we have non-integers:
k=1.5, m=3
k=5.5, m=11
k=21.5, m=43

In this case k is not an odd integer, but m is an odd integer.
Join the discussion

by gmatboost » Sun Aug 07, 2011 11:20 pm
Great explanation already provided.
I just wanted to point out that the incorrect assumption in the initial reasoning was:
but if the result is a non-integer, then m wouldn't be an integer in the first case,
Be careful not to assume that if n/2 is not an integer, then n is not either. Same for "sqrt(n) is not an integer."
Greg Michnikov, Founder of GMAT Boost

GMAT Boost offers 250+ challenging GMAT Math practice questions, each with a thorough video explanation, and 100+ GMAT Math video tips, each 90 seconds or less.
It's a total of 20+ hours of expert instruction for an introductory price of just $10.
View sample questions and tips without signing up, or sign up now for full access.


Also, check out the most useful GMAT Math blog on the internet here.
Join the discussion