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
