There are 5640 soldiers in an army camp. For the drill session, the Commander wants to arrange them in such a way that the number of soldiers in a row is same as the number of soldiers in any column. Can the Commander complete his arrangement by using all of them? Justify your statement. If not, how many soldiers should be arranged in a row and how many will be left out?
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Its easy...well take out the highest possible perfect square by long division ....For 5640 it is 75 with remainder 15 i.e. Commander will be able to make 75 rows and 15 soldiers will be left out....
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