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 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

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
Limited cohort · enrollment openTarget 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
Start free 5-day trial
Read 559 reviewsTarget Test Prep

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

Less than an integer multiple of 4

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 641
Joined: Tue Feb 14, 2012 3:52 pmFollowed by: 8 members
Thanked: 11 times
by gmattesttaker2 » Sat Feb 22, 2014 11:04 am
Hello,

Can you please assist with this:

How many of the positive integers less than 25 are 2 less than an integer multiple of 4 ?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six

OA: E


Thanks,
Sri
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Sat Feb 22, 2014 11:11 am
gmattesttaker2 wrote:How many of the positive integers less than 25 are 2 less than an integer multiple of 4?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
When we check the answer choices, we see that all of the answers are very small.
So, it's not unreasonable to start listing the values that satisfy the given conditions.

Positive multiples of 4: 4, 8, 12, 16, 20, 24, 28, etc

So, integers that are 2 less than multiples of 4 are: 4-2, 8-2, 12-2, 16-2, 20-2, 24-2, 28-2, etc
Simplify to get: 2, 6, 10, 14, 18, 22, 26, etc..

We want those values that are LESS THAN 25. So, we have: 2, 6, 10, 14, 18 and 22

There are 6 such values.

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 91
Joined: Fri Jan 17, 2014 7:34 am
Thanked: 7 times

by parveen110 » Wed Feb 26, 2014 4:51 am
gmattesttaker2 wrote:Hello,

Can you please assist with this:

How many of the positive integers less than 25 are 2 less than an integer multiple of 4 ?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six

OA: E


Thanks,
Sri
Hi Sri,

There is an altenative approach as well.

The question is essentially asking us, how many numbers less than 25 are of the form 4k+2.

We can see that 4*6+2=26. Therefore we'll choose integers less than 6 for k i.e. 0,1,2,3,4,5 to satisfy the given condition.

Total positive integers of the form 4k+2 less than 25 = 6.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 359
Joined: Wed Mar 11, 2009 4:37 amFollowed by: 2 members
Location: Kolkata, India
Thanked: 50 times

by Abhishek009 » Wed Feb 26, 2014 8:48 am
gmattesttaker2 wrote:How many of the positive integers less than 25 are 2 less than an integer multiple of 4 ?
First of all define the set of Numbers -

S = { 4 , 8 , 12 , 16 ,20 , 24 }

Now if we subtract 2 from theses numbers we obtain a positive Number ( Even from the lowest Number - 4 )

Count the elements in the set..

The answer is without any hesitation [spoiler](6)[/spoiler]
Abhishek
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1