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Can there be a line passing through all the four quadrants? If so, how?
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A jail has 100 cells, numbered 1 to 100. The king Declares some sort of amnesty and orders the following.
step 1: make sure all Cells are closed
step2: reverse (if open, close; if close, open) those Cells whose numbers are divisible by 1 (in this step, all cells will be Opened);
step 3: reverse those that are divisible by 2 (in this step, All even numbered cells will be closed);
step 4: reverse those that are Divisible by 3;
step 5: reverse those divisible by 4;
step 6 to step 101: and so on . . .
step 102: release the prisoners in those cells which are finally Open. How many prisoners will be released, and from which cells?
A says if 75 chickens are sold from what we have now the feed will last for extra 20 days. But B says if we buy additional 100 chickens then feed will get over 15 days earlier. Find the No. of chickens both are having now?