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
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
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.

130-point 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.

Min/Max

Expert replies
by heshamelaziry » Wed Nov 11, 2009 3:47 pm
*A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?

(A) 10,700

(B) 10,800

(C) 10,900

(D) 11,000

(E) 11,100

Explanation for this is posted in articles. However, I am confused. I can't picture the city with the highest population being 10% more than the city with the lowest population. In reality, is the only why to minimize the population of one city is to have same population in each of the other 10 cities ? Can each city have different population from one another, but remain no more than 10% of the other population ?

I don't know why I can't reply to the article.
Join the discussion
Source: — Problem Solving |

by Abdulla » Thu Nov 12, 2009 7:28 am
Hesham,

I think again using the Min/Max tool to solve this problem is the best and fastest way to get the answer.

we've got 11 districts in the city ..
Let's assign x for the first district, so we've got 10 districts left.
The key is ( NO district has greater than 10% of any other district ).
If you thought about it in this way x + x1.1 + (x1.1)1.1....etc then, it's not true because the third district will be greater than the first district.

The question asks for the minimum value.
The maximum we can have is 110% of x = 1.1x ... let's write our equation..

x+ 10(1.1x)= 132,000

12x= 132,000

x= 11,000

I hope this helps !!
Abdulla
Join the discussion

by heshamelaziry » Thu Nov 12, 2009 9:08 am
thanks Abdulla. This is what i wanted to verify
Join the discussion