Q1) 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)11000
e)11,100
Ans d
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soni_pallavi
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If the population is distributed equally, then each district has 132,000/11 = 12,000 residents. Let's define x as the district with the lowest population. To minimize the population in the smallest district, we must maximize the population in all of the other districts. Since no other district can exceed x by more than 10%, we can set up the following equation:
x + 1.1(10x) = 132,000
12x = 132,000
x = 11,000
x + 1.1(10x) = 132,000
12x = 132,000
x = 11,000
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