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.

Grouping of students question

Expert replies
by sensei_mike » Tue Dec 21, 2010 9:49 am
Hey Guys,

Here is the practice question I came across in the Kaplan Math workbook:
A class of 40 students is to be divided into smaller groups. If each group is to contain 3,4,or 5 people, what is the largest number of groups possible?

So I minimized the big groups to 1 each, and maxed the number of 3's groups but since there was a remainder, created 1 more group of 4, so 9 groups of 3. 2 groups of 4, 1 group of 5.

The OG however, says "each group must have at least 3 people in it" so create as many groups of 3 as possible. But that's NOT what the question says! The question says each group IS TO (i.e. must) contain 3,4 or 5 people.

Anyone else have the same line of thinking as me? Or should I be assuming even if it says "is to" that actually means "can but doesn't have to be"?
Join the discussion
Source: — Problem Solving |

by Rahul@gurome » Tue Dec 21, 2010 10:04 am
sensei_mike wrote:A class of 40 students is to be divided into smaller groups. If each group is to contain 3,4,or 5 people, what is the largest number of groups possible?

...should I be assuming even if it says "is to" that actually means "can but doesn't have to be"?
Yes.
Each group must contain either 3 or 4 or 5 students. There may not be any group with 3 students in it (or 4 or 5). All the groups may be of 4 students (or 5).

Only thing for sure the question tells us that there can't be any group of students with any other numbers of students in it.


Now for the problem we have to maximize the number of groups. Which means we have to minimize the number of students in each group.
  • Let's assume all the groups are of 3 students. 40 = (3*13 + 1) => A group of 1 student => NOT permissible.

    Let's assume all the groups are of either 3 or 4 students. Maximize groups of 3 and minimize group of 4. Say only one group of 4 => (4 + 12*3) = 40 => Permissible
Thus maximum numbers of groups possible = (12 + 1) = 13
    Rahul Lakhani
    Quant Expert
    Gurome, Inc.
    https://www.GuroMe.com
    On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
    1-800-566-4043 (USA)
    +91-99201 32411 (India)
    Join the discussion

    by sensei_mike » Wed Dec 22, 2010 9:38 pm
    So going fwd I'm always going to go for the smallest possible amount and try for the larger groups being zero...Cool, thanks!
    Join the discussion