This might have something to do with remainder theorem ! Though I am not sure !
Under the scheme of rural development the OCP purchased t number of helicopters and these were allocated equally among 7 districts of Michigan and thus 4 helicopters remained unallocated. Similarly every district allocated these helicopters equally to 10 blocks in each district and still 3 helicopters remained unallocated in every district. Further every block assigned these helicopters equally to every 16 villages in each block and thus 2 helicopters per block remained unallocated. According to the scheme every village must receive atleast 1 helicopter.
1) Is it possible to determine the number of helicopters allocated to each block ? Please explain why and how.
2) If ,instead, OCP purchased k helicopters to provide exactly 1 helicopter to each village as mentioned in the scheme, but later on it sent one tractor to each village directly without the involvement any block or district, then the number of helicopters OCP has saved more in comparison to the previous scheme ? Please give explanation.
Plugging in backwards, we have:
Thus, the number of helicopters allocated to each block is .
Question 2 makes no sense. It does not seem to be asking anything. I think it meant, how many helicopters were unallocated by the districts, blocks, and villages. The answer to that is 161 (165-4 = 161).
And I hope we can find the answer for the second question now.