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anksm22: Master | Next Rank: 500 Posts; Posts: 124; Joined: Wed Jul 02, 2014 7:26 pmFollowed by: 1 member

by anksm22 » Sun Oct 05, 2014 7:45 am

OA D

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Source: Beat The GMAT — Problem Solving | Sun Oct 05, 2014 7:45 am

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by [email protected] » Sun Oct 05, 2014 9:55 am

Hi anksm22,

This question can be solved with algebra or by TESTing THE ANSWERS.

Here's how you can TEST THE ANSWERS:

We're told that there are 11 districts with a total population of 132,000. We're also told that any district's population can be no greater than 10% more than any other district. We're asked for the minimum population of the least district.

This is essentially a "limit" question. To make one district as small as possible, we have to make the other districts as big as possible.

Let's start with answer D (it's the easiest of the answers to perform a calculation on).

If the least district = 11,000 then each of the other districts could be 10% greater --> 11,000(1.1) = 12,100 each

(10 larger districts)(12,100 each) = 121,000 people

smallest + 10 largest = 11,000 + 121,000 = 132,000. This is the EXACT MATCH for the population in the prompt, so 11,000 MUST be the minimum population.

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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