Juggernaut_86 wrote:A certain city with a population of 132000 is to be distributed into 11 voting districts, and no district is to have a population that is more than 10% greater than the population of any other district. What is the minimum population that the least populted district could have?
(A)10700
(B)10800
(C)10900
(D)11000
(E)11100
OA - D
Could anyone please explain a quick way to solve this under 3 minutes?
Thanks!
Hi - Although you got an excellent reply from Anurag, i'll try to explain what i did.
work with small numbers -- I took 132 only.
132/11 = 12 i.e. if all states have to have the same population, it will be 12
10% of 12 is 1.2
also, 12-1.2 = 10.8
But, if we keep the population of one state = 10.8 then other states will have to share the remaining 1.2 part.. that will clearly violate the condition (Population not more than 10%)
So our answer has to be bigger than 10.8 -- This eliminates option A & B.
Also, if you see the option C, it is very close to option B. So I parked this choice for some time.
Then I jumped to the next choice i.e. 11000.
if i put 11 as the population of 1 state.. other states will have to share the remaining (121 in this case)--
132-11 = 121..
that mean the population of remaining 10 states will be 12.1 each. And 10% of 11 is 1.1
Hurrah!
This satisfies the constraint given in the question. CORRECT answer: - D
I used timer here and took exactly 2 mins to solve this one.. I think i did OK.
